We need answer user's legal business intake analysis. Need compute carefully. Let's restate facts. Role: evaluate malpractice case accept/decline. Governing law: 1 elements expert. 2 causation >50% probability timely treatment avoided injury sufficient; mere possibility not. 3 complaint within 2 years after injury; expert certificate accompany complaint; court cannot extend for ordinary law-office delay. 4 damages recoverable; verdict amounts account limits/collectability. 5 hospital lien paid only from recovery; not increase liability; deducted from client's share. 6 contingency: costs reimbursed first from any recovery. attorney fee is one-third of amount remaining after cost reimbursement. lien then paid from client's remainder. Need parse order: recovery R. Costs C=240k reimbursed first. Remaining after cost = R-C if R>C? If R<=C? Need likely. Then fee = 1/3 of amount remaining after cost reimbursement. Lien paid from client's remainder (after fee?). It says fee one-third of amount remaining after cost reimbursement. The lien is then paid from the client's remainder. That implies: R - C = A. Fee = A/3. Client's pre-lien = 2A/3. Lien = L=160k paid from client's remainder, so client net = 2A/3 - L, if positive. If negative? Probably client net zero? Since lien only from recovery and deducted from client's share; if client's remainder insufficient? Lien is valid and currently nonnegotiable; if recovery insufficient to pay lien? But verdicts are $1.2m, $2.4m, $4m, costs 240k, all > lien. So no issue. 7 no recovery: firm bears litigation costs and charges Lena no fee/cost reimbursement. 8 use supplied prob success and conditional verdict distribution. Do not invent settlement odds or adjust panel numbers. 9 intake policy accepts contingent case only if expected net fee after expected unreimbursed costs >= $175,000 and case can be filed with support from both required experts at least 30 days before limitations expires. Facts: MRI 11:18 PM probable abscess, immediate surgical consultation. Acknowledged but didn't call surgery until 7:30 AM. Decompression 10:10 AM. Permanent weakness. Experts: ER physician signed preliminary opinion breach. Neurosurgeon signed preliminary opinion decompression before 2:00 AM would have given Lena 60% probability avoiding permanent deficit. Defense argues sepsis/location despite earlier surgery. Panel: 55% probability plaintiff success at trial. Conditional on plaintiff verdict: 60% $1.2m, 30% $2.4m, 10% $4m. Costs 240k incurred whether wins or loses. Lien 160k valid nonnegotiable. Verdicts collectible. Limitations expires in 110 days. Experts convert opinions to signed certificates within 20 days if retained. No other firm fee claims. Assignment: Analyze: - Breach and causation under >50 rule. - Whether preliminary expert record supports filing. - Conditional expected verdict. - Lena's net recovery in each verdict branch after costs, fee, lien. - Lena's overall expected net recovery. - Firm's expected fee and expected unreimbursed-cost loss. - Firm's expected net return under intake policy. - Filing and certificate timetable. - Accept/decline, first concrete steps if accepted. Need compute. Conditional expected verdict = 0.6*1.2M + 0.3*2.4M + 0.1*4M = 720k + 720k + 400k = 1,840,000. Good. Need expected fee and expected unreimbursed-cost loss. Costs incurred regardless. Under no recovery, firm bears costs; no fee. Under recovery, costs reimbursed first, no unreimbursed cost? But policy says expected net fee after expected unreimbursed costs. Need define expected unreimbursed costs. If recovery occurs, costs reimbursed, unreimbursed cost zero? But maybe because if recovery not enough to cover costs? Here all verdicts cover costs. So expected unreimbursed costs = 0? But wait if no recovery, firm bears litigation costs: unreimbursed cost $240k in loss branches. Is that "expected unreimbursed-cost loss"? Assignment asks firm's expected fee and expected unreimbursed-cost loss. Could be expected fee minus expected unreimbursed cost. Need careful. The intake policy: expected net fee after expected unreimbursed costs at least 175k. It may mean expected fee minus expected costs not reimbursed due to loss (or insufficient recovery). In no recovery, unreimbursed costs = 240k. In recovery, reimbursed, unreimbursed = 0. So expected unreimbursed cost = P(loss)*240k = 0.45*240k = 108k. Expected fee = P(win)*(expected fee conditional on win). Fee conditional = 1/3*(E verdict - 240k) because costs reimbursed. E verdict conditional 1,840k; A=1,600k; fee=533,333.33. P(win)=0.55. Expected fee = 0.55*533,333.33 = 293,333.33. Expected unreimbursed cost loss = 0.45*240k=108,000. Expected net fee after unreimbursed costs = 185,333.33. >=175k. Then accept (if timetable ok). But check if expected net return should also subtract lien? No, lien deducted from client's remainder not fee, no effect on firm fee because fee calculated after cost reimbursement but before lien. The fee is one-third of amount remaining after cost reimbursement, lien then paid from client's remainder. So fee doesn't depend on lien. But if lien > client remainder maybe? no. Need Lena's net recovery in each branch: For verdict R: Cost reimbursement: 240k. Remaining after costs: R-240k. Fee = (R-240k)/3. Client after fee before lien = 2(R-240k)/3. Lien = 160k. Client net = 2(R-240k)/3 - 160k. Compute: R=1,200,000. R-C=960,000. Fee=320,000. Client before lien=640,000. Lien 160,000. Net=480,000. R=2,400,000. R-C=2,160,000. Fee=720,000. Client before lien=1,440,000. Lien=160,000. Net=1,280,000. R=4,000,000. R-C=3,760,000. Fee=1,253,333.33. Client before lien=2,506,666.67. Lien=160,000. Net=2,346,666.67. Check: if costs reimbursed first, yes. Lena overall expected net recovery: Need account probability of no recovery (0) and conditional verdict distribution. P(win)=0.55. Expected net = 0.55 * (expected conditional net) + 0.45*0. Expected conditional net = 0.6*480k + 0.3*1,280k + 0.1*2,346,666.67 = 288k + 384k + 234,666.667 = 906,666.667. Multiply 0.55 = 498,666.667. Let's verify via linearity: Expected R overall = 0.55*1,840k = 1,012,000. Expected costs? If win, Lena's net formula uses costs as deduction? Actually cost reimbursement comes out of recovery; if no recovery, Lena pays no costs. Expected client net = P(win)*E[2(R-C)/3 - L | win] = 0.55*(2/3*(1840-240) -160) =0.55*(2/3*1600 -160) =0.55*(1066.667-160)=0.55*906.667=498.667. Alternatively expected gross P(win)*E[R] =1,012,000. Expected costs reimbursed? If win, 240k, so expected cost deduction=0.55*240=132,000. Fee? client pays fee only from remaining? Expected fee =293,333. Lien expected=0.55*160=88,000. Net=1,012,000-132,000-293,333-88,000=498,667. Good. Firm's expected fee: We computed 293,333.33. Need maybe expected unreimbursed-cost loss: if lose 45% * 240k =108,000. Expected net return =185,333.33. But what about if no recovery, no fee, costs unreimbursed; if win, costs reimbursed, net fee as above. Yes. Potential nuance: Expected fee after expected unreimbursed costs might be calculated differently: expected fee = P(win)*fee; expected costs = P(no win)*costs? Or expected costs net of reimbursement: costs incurred always 240k; reimbursement = P(win)*240k (assuming win enough). Expected unreimbursed = 240 - P(win)*240 = 108k. Same. Need check policy threshold: expected net fee after expected unreimbursed costs at least $175,000. 185,333.33 > 175,000. Timetable: limitations 110 days. Need file with support from both required experts at least 30 days before limitations expires. So filing deadline at T=80 days from now? If expiration in 110 days, at least 30 days before = day 80. Experts certificates within 20 days if retained. If retain immediately, certificates day 20, file by day 80, 60-day buffer. Accept. But need ensure breach and causation experts? The complaint must be filed with support from both required experts. Governing law: expert certificate accompany complaint. Need both? Policy says case can be filed with support from both required experts at least 30 days before limitations expires. Facts: two preliminary experts will convert opinions to signed certificates within 20 days if retained. So can file at day 20 or later, well before day 80. Good. Need analyze breach and causation. Breach: MRI identified probable spinal epidural abscess, recommended immediate surgical consult. ER physician acknowledged but delayed 8h12m (11:18 PM to 7:30 AM). Expert says failure to obtain immediate consultation breached standard. This satisfies breach if accepted; qualified expert. Causation: neurosurgeon says decompression before 2:00 AM would have given 60% probability avoiding permanent deficit. Rule: negligent delay more likely than not caused permanent injury; >50% probability timely treatment would have avoided injury sufficient. 60% > 50%. So causation satisfied, despite defense arg sepsis/location. Need maybe discuss that 60% is just enough, but panel already integrated success probability. The causation evidence is direct. Need note: "more likely than not" is satisfied by 60% if expert is credible; not just possibility. There is a competing 40% that injury would have occurred anyway; still >50 avoids. Factual causation: but-for timely decompression, more likely than not avoid deficit? The expert says 60% probability would avoid. Satisfies. Proximate? likely foreseeable injury from delay in spinal abscess. Need mention no ordinary knowledge; expert testimony required and supplied. Preliminary expert record supports filing: Both required elements? We need two required experts? One for breach, one for causation? Under policy, both required experts. Signed preliminary opinions; can convert to certificates within 20 days. Need ensure certificates accompany complaint; can file within 30 days before expiration. Also breach and causation supported. But note preliminary opinions not final? They are signed preliminary; conversion in 20 days. If retain now, ready day 20. Filing can be day 80 at latest. Good. Need maybe discuss limitations: injury? complaint within two years after injury. Expires in 110 days. Need file before day 110; policy requires at least 30 days before (day 80). The experts ready day 20. So accept if all. Need maybe mention retain experts, execute certificate, file complaint by day 80 (or earlier); preserve records; send HIPAA? First concrete steps: engage/retain both experts and pay for certificates; secure medical records/MRI; file complaint within 30-day window; maybe send demand? But intake says do not invent settlement odds; can mention prepare complaint with certificates, file no later than day 80, ensure certificate form compliance. Also consider lien? No need but maybe manage: notify hospital lien, don't pay from firm? It's paid from client remainder after fee; maybe collect at recovery. Could include. Need ensure no calculation errors. Let's recalc exact values: Verdict 1.2M: R-C = 960k fee = 320,000 client after fee = 640,000 lien = 160k client net = 480,000 firm net branch = fee - 0 cost unreimbursed? Firm's costs reimbursed, so net fee 320k. In loss branch: fee 0, cost unreimbursed 240k, net -240k. Verdict 2.4M: R-C = 2,160,000 fee 720,000 client 1,440,000 lien 160,000 net 1,280,000 Verdict 4M: R-C = 3,760,000 fee = 1,253,333.333... client after fee = 2,506,666.666... lien 160,000 net = 2,346,666.666... Expected conditional client net: 0.6*480,000=288,000 0.3*1,280,000=384,000 0.1*2,346,666.667=234,666.667 sum=906,666.667 *0.55 = 498,666.667. Expected conditional firm fee: 0.6*320k=192k 0.3*720k=216k 0.1*1,253,333.333=125,333.333 sum=533,333.333 *0.55=293,333.333. Expected unreimbursed cost = no win 0.45*240k=108k. But if win branch costs reimbursed, no unreimbursed. Expected net firm = 293,333.333 -108,000 =185,333.333. But what about expected net fee after expected unreimbursed costs: maybe they expect subtract full expected costs 240k? Let's examine language: "case costs are reimbursed first from any recovery." "If no recovery, firm bears litigation costs." "expected net fee after expected unreimbursed costs". It likely means subtract expected costs not reimbursed (only loss). If subtract full expected costs, expected net fee = 293,333 - 240,000 = 53,333, decline. But that would double count costs in win branch? Because costs reimbursed in win. The phrase "unreimbursed costs" explicitly not all costs. Need be clear. Maybe "expected net fee after expected unreimbursed costs" means expected fee minus expected cost loss (unreimbursed), not total expected costs. We should state costs are expected to be reimbursed with 55% probability, leaving expected unreimbursed cost 108k. Thus net 185.3k. Potential nuance: If there is a plaintiff verdict but total recovery less than costs, unreimbursed costs? Not here. Could mention all verdict branches exceed costs, so no unreimbursed costs in winning branches. Need maybe discuss expected value of lawsuit from Lena perspective? She has expected net 498,667. Does that matter? Intake policy only fee and timetable. Could mention for client benefit. Need maybe discuss if case should be accepted based on liability/case merits? We conclude accept because satisfies both thresholds. But maybe "first concrete steps if accepted". Need format: likely a memo. Need include all requested analyses. Use headings. Provide table. Need be precise with dates/days: Now Day 0. Limitations expires Day 110. Policy filing target no later than Day 80. Expert certificates ready Day 20 if retained. File with certificates at any time after Day 20 and no later than Day 80; e.g., file by Day 75/80. Need note must retain experts immediately to hit day 20. If delay >60 days to retain? Let's calculate: to have certificates by day 80, need retain by day 60 (80-20). But if we want 30 days before expiration. Since day 0 now, plenty. Need maybe recommend retain within days, file by day 80. If no immediate, latest retain to still have certificates day 80 = day 60. But we can just say retain now. Need maybe address "both required experts": The breach expert and causation expert. The signed preliminary opinions are enough to support filing? The law requires certificate; preliminary opinions can be converted to signed certificates. Need not wait final full opinions? The policy says support from both required experts; facts say preliminary experts will convert opinions to signed certificates within 20 days if retained. So yes. Need maybe discuss whether expert causation is >50. The neurosurgeon says decompression before 2 AM would have given 60% probability avoiding permanent neurological deficit. The delay was until 10:10 AM, which is after 2 AM; timely treatment (before 2 AM) avoided with 60%. Therefore the delay more likely than not caused injury. But careful: If decompression before 2 AM gives 60% probability avoiding, does that mean 40% would still have deficit. Since 60% > 50, causation threshold met. Defense's sepsis/location is the 40% or contested; doesn't defeat >50. Need mention no need to eliminate all alternative causes; just more likely than not. Need maybe analyze breach: The standard of care: immediate surgical consultation for probable spinal epidural abscess; delay from 11:18 PM to 7:30 AM. The ER expert says failure breached. Need mention expert is board-certified emergency physician; qualified. The MRI report recommendation and acknowledgement establish factual predicate. Need maybe discuss expert certificate: Under Rule, complaint must file with supporting expert certificate. The two experts will produce signed certificates. Need both required? Could be one certificate can cover both? Policy says support from both required experts. We should treat as two certificates/opinions. The preliminary opinions are signed, but need convert to formal certificates. Retain now. Need maybe discuss limitations after injury: 2 years; expires in 110 days. No tolling. Need file with certificates. If certificates not ready 30 days before expiration? They are ready day 20. Good. Need maybe mention no other firm has fee claim; irrelevant except no split. Potential issues: The panel's probability of success at trial is 55%. Does that include causation threshold? Yes. Use as supplied. Do not adjust. Could there be issue that the expert's 60% probability is less than the panel's 55% success? It's fine. The panel success is overall probability of plaintiff success; expert causation is one element. No need adjust. Need maybe compute expected fee "after expected unreimbursed costs" in a table: - Win probability 55%, loss 45% - Conditional expected verdict 1,840,000 - Expected verdict (win prob) 1,012,000 - Expected cost reimbursement = 0.55*240,000 = 132,000 - Expected unreimbursed cost = 240,000 - 132,000 = 108,000 (or 0.45*240,000) - Expected fee = 0.55*[(1,840,000-240,000)/3] = 293,333 - Expected net fee = 185,333. Alternative if one thinks "expected net fee after expected unreimbursed costs" = expected (fee - unreimbursed costs). In win: fee, unreimb 0; loss: 0, unreimb 240k. Same. Need maybe compute Lena's expected net in each branch and overall. Include formulas. Let's check client net formula more: Under proposed contingency, case costs are reimbursed first from any recovery. Attorney fee is one-third of amount remaining after cost reimbursement. The lien is then paid from client's remainder. So if R=1.2M: after costs 960k; fee 320k; client remainder 640k; lien 160k; net 480k. Yes. Potential nuance: Is the hospital lien paid from client's share before or after fee? It says then paid from client's remainder. Yes after fee. It doesn't reduce fee. Good. Need maybe include "all verdicts are collectible" no discount. Potential issue: "expected net fee after expected unreimbursed costs is at least $175,000" The firm's expected net return maybe should include the fact that in winning branches, the firm also pays costs but gets reimbursed, so net zero cost. In losing branch, firm loses 240k. Yes. Could there be cost incurred even if no filing? We assume retain experts? Projected litigation costs incurred whether firm wins or loses. If accepted, costs incurred. Need maybe if we file and lose. Good. Need maybe consider "case can be filed with support from both required experts at least 30 days before limitations expires". This is a condition separate from expected fee. Need state: Day 0 now; experts 20 days; file by Day 80; yes. Even if file day 20, it's 90 days before expiration; more than 30. Actually at least 30 days before means no later than day 80. Filing at day 20 is okay. If file after day 80? Not acceptable under policy. So target day 80. Need mention if we retain now, we have 60 days from certificate to deadline, ample. Need maybe address "preliminary expert record supports filing" in terms of not just policy but legal sufficiency. We have qualified experts for breach and causation; causation >50; damages are presumed? Damages: permanent weakness, brace, reduced work hours; verdict distribution. Expert certificate need maybe support all elements? Usually medical expert supports negligence and causation; damages may be ordinary or other experts. The supplied verdict distribution accounts damages. For filing, need expert certificate; likely both experts enough for medical causation. Could mention damages are documented by facts and panel verdict amounts; no issue. Need maybe mention defense arguments don't defeat intake because causation standard is >50 and panel gives 55 success. The 40% alternative cause is not a bar. Need maybe produce final recommendation: Accept. Expected net fee $185,333 > $175k; timetable satisfied. First steps: 1. Execute contingent representation agreement and cost advance authorization? (costs reimbursed; firm bears if no recovery). 2. Immediately retain board-certified ER physician and neurosurgeon; request formal signed expert certificates for breach and causation; calendar 20-day delivery. 3. Obtain complete medical records, MRI radiology report, ED notes, timestamps, nursing/electronic acknowledgment, operative report, post-op neuro exam; subpoena if needed. 4. Prepare and file complaint with both expert certificates no later than day 80 (30 days before expiration), preferably day 60-75 after certificates; ensure service, certificate compliance. 5. Address lien: do not pay now; ensure lien is satisfied from client's share after costs and fee; consider negotiating later (though currently nonnegotiable, maybe after recovery) but for intake use 160k. 6. Preserve limitation/tolling? No extension for ordinary delay; calendar all deadlines. Need maybe be careful: If accepted, file with support from both required experts at least 30 days before limitations expires. Does that mean we need to file at least 30 days before, not just can? "accepts a contingent case only if ... the case can be filed with support from both required experts at least 30 days before limitations expires." It means possible, not mandatory to file that early. But for safety, file by day 80. Need maybe mention "within 20 days if retained" means if we retain at Day 0, certificates Day 20. If we delay retention to Day 59, certificates Day 79, still can file Day 79? At least 30 days before expiration: if expiration Day 110, day 79 is 31 days before? Actually Day 80 is exactly 30 days before Day 110? If Day 0 now, Day 110 expiration; 30 days before = Day 80. If Day 79, 31 days before. So latest retain Day 60? If certificates within 20 days, Day 80 certificate, file Day 80 (30 days before? If Day 80 is 30 days before Day 110, yes). To be safe retain by Day 55. But recommend immediately. Need maybe include exact date calculation: If limitations expires in 110 days, policy cutoff is day 110 - 30 = day 80. If "at least 30 days before" means strictly >30? Use no later than day 80 or day 79? In legal deadlines, "at least 30 days before" could mean 30 full days; if expiration day 110, file by day 80 (if day count from filing to expiration inclusive? Better: "no later than 30 days before expiration (Day 80, or earlier to be safe)." We can say target Day 75. But need answer. I'll state latest Day 80 (or Day 79 if strict full 30 days; recommend Day 75). To avoid ambiguity: "no later than Day 80 (and preferably Day 75)." Need maybe include all calculations in a neat table. Let's think if any hidden trap: Causation: expert says decompression before 2:00 AM would have given 60% probability of avoiding permanent deficit. Surgery occurred 10:10 AM. Delay from 11:18 PM to 10:10 AM = 10h52m. Immediate consultation recommended; called at 7:30 AM (8h12m after MRI), decompression 10:10 (10h52m after). Timely treatment before 2:00 AM. 60% probability avoiding if before 2 AM. Does this satisfy "negligent delay more likely than not caused the permanent injury"? Yes: If treated timely, 60% chance no injury; equivalently, delay made injury occur with at least 60% probability? Need be careful: Causation rule says "negligent delay more likely than not caused the permanent injury. A greater-than-50-percent probability that timely treatment would have avoided the injury is sufficient." Here 60% probability that timely treatment would have avoided injury. So yes. It doesn't require probability that delay caused injury? The rule equates. Good. Could defense argue sepsis and location would have produced deficit despite earlier surgery; that's the 40% chance. Because 60 > 50, still enough. If it were 50 or less, no. Preliminary expert record supports filing: Need both required experts signed preliminary opinions. But do we need causation expert certificate? yes. It says neurosurgeon signed preliminary opinion. It will convert. Good. Need maybe discuss "ordinary law-office delay" cannot extend; but no such delay currently; 110 days left. Need act. Potential alternative: The firm's expected net fee might need subtract expected unreimbursed costs and also expected costs in winning branches? Let's parse: "case costs are reimbursed first from any recovery." If plaintiff wins, client recovery pays costs. If no recovery, firm bears costs. For expected net fee, we should not subtract costs in winning branches because reimbursed. "expected unreimbursed costs" is exactly costs in no-recovery branches. So 108k. But what about costs are incurred whether firm wins or loses, and if there is no recovery, firm bears litigation costs. If there is a plaintiff verdict, costs reimbursed first. But if verdict is $1.2M, after costs and fee, client net positive. All good. Potential hidden: Hospital lien is paid only from recovery and deducted from client's share. Does it affect client's expected net and perhaps firm's fee if client remainder insufficient to pay lien? No. But maybe if lien is nonnegotiable and valid, and if client's remainder after fee is less than lien, the client might owe? Not here. We should note in all branches client's remainder exceeds lien. Potential hidden: The firm's intake policy accepts only if expected net fee after expected unreimbursed costs >=175k AND case can be filed with support from both required experts at least 30 days before limitations expires. It doesn't require Lena's expected net positive? But maybe malpractice intake might consider client benefit. Lena expected net 498k positive. Good. Need maybe calculate "expected net return under its intake policy" = $185,333 (round). Need maybe state "above threshold by $10,333." 185,333.33 -175,000 = 10,333.33. Let's consider if expected fee could be calculated as one-third of expected amount after costs, then multiply by success? We did. Could there be an alternative: fee = 1/3 of recovery after costs in each branch; expected fee = 0.55*(0.6*320k + 0.3*720k +0.1*1,253,333) = same. Good. Let's maybe present formulas: Let R be verdict, C=240,000, L=160,000. Firm fee = max? (R-C)/3 for R>C. Lena net = 2/3(R-C) - L. Firm net in win = (R-C)/3. Firm net in loss = -C. Expected client = 0.55*E[2/3(R-C)-L | win]. Expected firm = 0.55*E[(R-C)/3 | win] - 0.45*C. Need maybe mention "conditional expected verdict" = $1,840,000. "Overall expected verdict" maybe not requested but can include: $1,012,000. But requested conditional expected verdict. Could include overall for clarity. Need maybe include "Lena's overall expected net recovery" = $498,667. If no recovery, 0. Yes. Need maybe include "Firm's expected fee and expected unreimbursed-cost loss": expected fee $293,333; expected unreimbursed-cost loss $108,000; expected net $185,333. Could also mention in losing branches, firm's loss is $240,000; in winning branches, firm's net fee ranges etc. Need maybe check if "expected unreimbursed-cost loss" should include costs if verdict is $0? P loss =45%. Yes. Need maybe mention "Do not invent settlement odds". We won't. We can state we use trial probabilities only; no settlement discount. Need maybe mention "All verdicts are collectible" no collectability discount. Need maybe discuss "damages limits and collectability already accounted" no adjustment. Potential legal nuance: The expert causation probability is 60% that decompression before 2 AM would have avoided deficit. The panel's success probability is 55%. Is there an inconsistency? If causation alone is 60, overall success 55 due to breach, damages, etc. Use supplied. Good. Need maybe structure final as: - Conclusion: Accept, provided immediate retention and filing by Day 80. - 1. Liability/case merits - Breach - Causation - Preliminary expert record and filing sufficiency - 2. Financials - Conditional expected verdict - Branch table - Expected Lena net - Firm expected fee, unreimbursed cost, net return, threshold - 3. Timetable - 4. Recommendation and first steps. Need maybe include exact day calculations in table: Day 0: retain experts, obtain records. Day 20: certificates received. Day 80: outside date to file to satisfy 30-day rule (or Day 75 target). Day 110: limitations expires. Need maybe include "the firm should not wait for final report; preliminary opinions convertible to certificates are sufficient for filing under facts." Good. Need maybe include "if experts not retained by Day 60, policy not met; recommend retain now." Good. Need maybe include "no need to seek extension; none available for ordinary delay." Need maybe mention "certificate must accompany complaint; file complaint and certificates together, not complaint first." Good. Need maybe include "costs are advanced by firm? The policy says reimbursed first; if no recovery firm bears. We can state firm advances/assumes costs; no client cost if loss." Need maybe include "lien is nonnegotiable; use 160k. Do not reduce verdict amounts or fee." Good. Need ensure no arithmetic rounding mistakes. Let's do exact: Expected conditional net: 2/3*(1,840,000-240,000) = 2/3*1,600,000 = 1,066,666.6667. Minus 160,000 = 906,666.6667. Times 0.55 = 498,666.6667. Firm fee conditional: 1/3*1,600,000 = 533,333.3333. Times 0.55 = 293,333.3333. Unreimb cost expected = 240,000*0.45 = 108,000. Net = 185,333.3333. Margin over threshold = 10,333.3333. Client branch exact: 1.2M: 2/3*960k=640k; -160=480. 2.4M: 2/3*2,160k=1,440; -160=1,280. 4M: 2/3*3,760k=2,506,666.666; -160=2,346,666.666. Expected branch: 0.6*480=288; 0.3*1280=384; 0.1*2346.666=234.6666; sum=906.6666. Maybe table columns: Verdict, probability, after costs, firm fee, client after fee, lien, client net. Include fee maybe in client table. For firm table separate. Need maybe think about if costs are reimbursed first from "any recovery" before fee, but if recovery not enough to cover costs, fee? Not relevant. Could state all verdict branches exceed costs. Potential issue: The hospital lien is paid from client's remainder after fee. But if client remainder after fee is 640k etc. Lien 160k. Good. But what if the lien should be paid before fee? The rule says then paid from client's remainder. So after fee. Good. Need maybe mention "the lien does not increase defendant liability; it is an allocation among recovery, not a deduction from verdict before cost/fee." Good. Potential issue: "expected net fee after expected unreimbursed costs" could be interpreted as expected fee minus expected unreimbursed costs from the firm's perspective, but if the firm wins, it pays costs and is reimbursed; no net cost. Yes. Need maybe discuss "expected net return under intake policy" not "expected net fee" maybe same. We can phrase: "Under the policy, the relevant measure is expected fee less expected unreimbursed costs: $185,333." Good. Need maybe include "because the case can be filed with both expert certificates well before the 30-day cutoff, the second prong is satisfied." Need maybe include "The defense's alternative-cause argument is not fatal; the causation standard is probabilistic, not elimination." Good. Need maybe mention "The 55% success probability is used only for financial expectations; liability analysis still requires >50 causation, which is supported by 60%." Good. Need maybe include "If the neurosurgeon's probability were 50% or less, causation would fail under supplied rule; at 60%, it passes." Good. Need maybe include "The ER expert's opinion addresses breach; the neurosurgeon addresses causation. Together they provide required expert support." Good. Potential issue: The breach expert says failure to obtain immediate consultation breached standard. But surgery was 10:10 AM; immediate consultation could have led to surgery before 2 AM? Causation expert says decompression before 2 AM would have 60% avoid. There's a gap: immediate consultation from 11:18 PM to before 2 AM (2.7h) maybe possible. The expert opinions support. Good. Need maybe mention "the MRI report timestamp and electronic acknowledgment are key facts; obtain them." Good. Could there be issue with "support from both required experts at least 30 days before limitations expires" meaning both experts must be available and support filing, not just certificates ready. We can retain and they will convert. Good. Need maybe include "No other firm has fee claim" no conflict? Could mention not a barrier. Need maybe consider if the case should be declined because expected net fee only 185k vs costs 240k? The expected net fee after unreimb costs is positive and above threshold. Accept. But maybe risk-adjusted: 45% lose and bear 240k; 55% win and expected fee 533k conditional. The expected net 185k. Good. Let's consider if "expected net fee after expected unreimbursed costs" should include expected costs as a loss in both branches? The phrase "after expected unreimbursed costs" not "after expected costs". If a firm has projected costs 240k incurred whether wins or loses, and if no recovery bears costs, if wins reimbursed. The unreimbursed expected cost is 108k. If they meant total expected cost loss (not reimbursed) yes. If they meant expected fee after subtracting expected cost of case regardless of reimbursement? But then why "unreimbursed"? It must be unreimbursed. Good. Need maybe include sensitivity? Not asked. Avoid. Need maybe include "no settlement odds" in final: "I do not assign a settlement probability; all calculations use supplied trial probabilities." Good. Need maybe include "verdict amounts already account for damages limits and collectability; no further reduction." Good. Need maybe include "all calculations in dollars, rounded to nearest dollar." Good. Let's draft final with thorough detail. Potential final: **Recommendation: Accept.** Then details. Use formulas: R = verdict; C = 240,000; L = 160,000; p = 0.55. Fee = (R-C)/3; client = 2/3(R-C)-L; firm loss no recovery = -C. Conditional expected verdict: $1,840,000. Table: Verdict 1,200,000 (60%): after costs 960,000; fee 320,000; client pre-lien 640,000; lien 160,000; client net 480,000. 2,400,000 (30%): after costs 2,160,000; fee 720,000; client pre-lien 1,440,000; lien 160,000; net 1,280,000. 4,000,000 (10%): after costs 3,760,000; fee 1,253,333; client pre-lien 2,506,667; lien 160,000; net 2,346,667. Expected conditional client net = $906,667; overall = $498,667. Firm: Expected fee = .55 * [(0.6*320k + 0.3*720k + 0.1*1,253,333)] = .55*533,333 = 293,333. Expected unreimbursed cost = .45*240k=108,000. Expected net return = 185,333 > 175,000. Timetable: Day 0 retain; Day 20 certificates; Day 80 deadline to file for 30-day rule; Day 110 expiration. Accept. First steps: - Execute engagement; calendar deadlines. - Retain experts immediately; request formal certificates; ensure opinions include breach and >50 causation. - Obtain records. - File complaint with certificates by Day 80 (prefer Day 75). - Manage lien from client share. Need maybe include "if accepted, do not file before certificates are signed; complaint must be accompanied by certificate." Good. Need maybe include "Because experts are only preliminary, ensure they are retained and certificates are actually filed; a preliminary opinion alone may not satisfy certificate requirement." Good. Let's ensure final answers all bullets: * Breach and causation under supplied >50 rule. Yes. * Whether preliminary expert record supports filing. Yes, with conversion to certificates by day 20, file by day 80. * Conditional expected verdict. $1.84M. * Lena's net recovery in each verdict branch after costs, fee, lien. Table. * Lena's overall expected net recovery. $498,667. * Firm's expected fee and expected unreimbursed-cost loss. $293,333 and $108,000. * Firm's expected net return under intake policy. $185,333. * Filing and certificate timetable. Day 0,20,80,110. * Whether accept/decline, first concrete steps if accepted. Accept; steps. Need maybe mention "If we use strict 30 full days, file by day 79; recommend day 75." Could include to be safe. Need maybe include "expected net fee after expected unreimbursed costs" exact: $185,333.33. Maybe round to $185,300? Use nearest dollar. Potential issue: The policy threshold is at least $175,000. Our margin is $10,333. If rounding to nearest dollar, okay. If round to nearest thousand, $185k > $175k. Need maybe be careful with "expected unreimbursed-cost loss" if no recovery includes costs; but if win, cost reimbursement may be less than cost if verdict small; all big. Good. Let's think if there is any need to discuss "ordinary knowledge" exception? No, expert required and present. Need maybe mention "the panel's 55% success probability is not a substitute for the >50 causation rule, but the neurosurgeon's 60% satisfies it; the panel's 55% is used only for expected value." Good. Could the causation expert's 60% probability be conditional on decompression before 2 AM, but the negligent delay was failure to call until 7:30 and surgery 10:10. Does the expert say decompression before 2 AM would have avoided with 60%; actual surgery after 10:10. So timely treatment before 2 AM. The delay beyond 2 AM is the causal event. Good. Need maybe discuss "factual causation" as but-for: If consultation immediate, surgery before 2 AM likely possible; 60% no deficit. More likely than not. Good. Potential issue: The MRI recommended immediate surgical consultation, not immediate surgery. The breach expert says failure to obtain immediate consultation breached. Causation expert says decompression before 2 AM would have 60% avoid. We might need assume consultation would lead to decompression before 2 AM. The record supports. We can say "together they tie breach to a clinically earlier decompression window." Good. Need maybe include "the defense's sepsis/location argument creates at most a 40% alternative cause; not enough under >50 rule." Good. Need maybe include "the firm should not promise settlement; use trial probabilities only." Not necessary but can mention. Let's consider if there is a possible issue with "expert certificate must accompany the complaint" and "preliminary opinions will convert to signed certificates within 20 days if retained". If the complaint is filed on Day 20 with certificates, okay. But if the experts only signed preliminary opinions now, can we file at Day 80 with certificates? yes. Need retain. Good. Potential hidden: "The court cannot extend either requirement for ordinary law-office delay." This means if we miss 30-day intake policy? Not legal, but policy. Need ensure no ordinary delay. We can recommend immediate action. Potential hidden: "No other firm has a claim to fees." Means no split; fee calculations unaffected. Good. Need maybe produce final in a professional memo style. Let's draft final: ``` Conclusion: Accept, subject to immediate expert retention and filing by Day 80. 1. Liability Breach: ... Causation: ... Preliminary record: ... 2. Financial expectations Formulas... Conditional expected verdict... Table... Expected Lena net... Firm economics... 3. Timetable Day 0 ... 4. Recommendation and first steps Accept because ... First steps: ... ``` Need maybe include exact calculations in equations. Let's ensure all amounts formatted with commas. Potential nuance: "expected net fee after expected unreimbursed costs" could be called "expected net return". We can state: Expected fee: $293,333 Expected unreimbursed cost: $108,000 Expected net fee/return: $185,333 If we want to be very explicit: In a winning case, the firm's expected conditional fee is $533,333; in a losing case, the firm's cost loss is $240,000. Weighted: 0.55*533,333 - 0.45*240,000 = 185,333. Need maybe mention "Lena's overall expected net recovery is positive, approximately $498,667, before any personal non-economic etc. (already included in verdict)." Good. Double-check if client expected net should be multiplied by 0.55 only; yes. If no recovery, client net 0, not negative costs. Good. Could there be client liability for costs if loss? Rule: firm bears costs and charges no cost reimbursement. So no. Need maybe mention "the hospital lien is paid only from recovery; in no-recovery branch, no lien payment and no recovery." Good. Potential issue: "Lena's net recovery in each verdict branch after costs, fee, and lien" If plaintiff wins but verdict less than lien? no. Good. Need maybe include "All calculations assume the supplied 55% probability is a final trial verdict probability; no settlement probability is added." Good. Let's also maybe include "conditional on plaintiff verdict, expected verdict = 1,840,000. Unconditional expected verdict = 1,012,000." Not requested but useful. Need maybe mention "the lien does not reduce the firm fee; it reduces client net only." Good. Let's consider if the fee is one-third of amount remaining after cost reimbursement but before or after expert costs? Costs include litigation costs projected; experts costs likely part of 240k. Reimbursed first. Good. Need maybe mention "projected litigation costs are $240,000 and are incurred whether win/lose; in win branch they are reimbursed from recovery, so they do not reduce firm's fee except through the fee base (because fee is after costs)." Actually costs reduce fee base; we accounted. In loss branch, unreimbursed cost. Good. Potential alternative interpretation: Attorney fee is one-third of amount remaining after cost reimbursement, but if the cost reimbursement is from recovery, and the fee is calculated on remainder, then the firm's expected fee in winning branch is (R-C)/3. Yes. Need maybe check if the lien should be paid from client's remainder after fee, but if client remainder after fee is less than lien, maybe client pays out of pocket? Not here. Could mention no branch has shortfall. Potential hidden: The hospital lien is valid and currently nonnegotiable. Could the firm negotiate later? The instruction says use supplied; don't adjust. We can say for intake calculations use 160k; negotiation later may improve client net but not alter intake threshold. Good. Need maybe include "The two experts are both required; if either refuses or cannot certify within 20 days, policy may fail; retain and confirm." Good. Need maybe include "The first concrete steps if accepted" should be concrete, not generic. We can include calendar deadlines: - Day 0: engagement, records request, expert retention letters. - Day 20: receive certificates. - Day 30: final draft complaint. - Day 75: file (or by Day 80). - Day 110: expiration. Good. Need maybe mention "serve complaint and certificates together; verify local certificate form." Good. Need maybe mention "do not rely on preliminary opinions at filing; they must be converted to signed certificates." Good. Let's also consider if "both required experts" means one for breach and one for causation. If the neurosurgeon's causation opinion also implies breach? No, need both. We have both. Need maybe include "The case is within ordinary knowledge? No, requires expert; supplied." Good. Potential issue: The causation rule: "negligent delay more likely than not caused the permanent injury. A greater-than-50-percent probability that timely treatment would have avoided the injury is sufficient; a mere possibility is not." The neurosurgeon says decompression before 2 AM would have given a 60% probability of avoiding deficit. This is greater than 50. It doesn't explicitly say the negligent delay (failure to call until 7:30) caused the delay in decompression, but breach expert says failure to immediate consultation breached; together with MRI recommendation and surgery at 10:10, yes. Could mention "the chain is: MRI at 11:18 -> immediate consult required -> consult not obtained until 7:30 -> surgery 10:10; timely decompression before 2 AM would have more likely than not avoided injury." Good. Need maybe mention "the 60% probability is the causation quantum; it is not the probability of case success. The panel's 55% accounts for all elements." Good. Let's think if any ethical issue: Accepting case based on expected fee threshold? It's intake policy. We can state meets policy. Also client expected net positive. Good. Need maybe include "No settlement odds invented; no adjustment to medical panel numbers." We can state in financial section. Potential hidden: "The supplied verdict amounts already account for applicable damages limits and collectability." We should not apply discount. Good. Potential hidden: "The hospital's lien is paid only from a recovery. It does not increase the defendant's liability and is deducted from the client's share." We should not subtract lien before fee; we do after. Good. Let's maybe include a "checks" section: - Fee threshold: 185,333 >= 175,000 yes. - Filing: Day 20 certificates < Day 80 cutoff yes. Therefore accept. Need maybe mention "if the firm fails to retain experts in time, acceptance should be revisited; latest retention to meet policy is about Day 60 (or Day 59 if strict)." Good. Let's calculate latest retention precisely: Need certificates within 20 days. Need file at least 30 days before Day 110. If filing Day 80, certificates must be ready by Day 80. Retain by Day 60 (60+20=80). If "at least 30 days" means file Day 79, retain by Day 59. We can say "in practice retain now; latest safe retention around Day 55-60." Good. Need maybe include "Day 80 is 30 days before Day 110; if the firm wants a buffer, file by Day 75." Good. Now, let's prepare final answer. Ensure not too terse; desired oververbosity 9. We can be thorough. Use headings and tables. Double-check all math one more time: Conditional EV: 1.2*0.6=0.72, 2.4*0.3=0.72, 4*0.1=0.4, sum 1.84M. Client net branch: R=1.2: (1.2-0.24)=0.96; fee .32; client .64; lien .16; net .48. R=2.4: 2.16; fee .72; client 1.44; lien .16; net 1.28. R=4: 3.76; fee 1.253333; client 2.506667; lien .16; net 2.346667. Expected conditional client: 0.6*.48=0.288, 0.3*1.28=0.384, 0.1*2.346667=0.234667; sum .906667 M. *0.55 = .498667 M. Firm conditional fee: 0.6*.32=.192, 0.3*.72=.216, 0.1*1.253333=.125333; sum .533333 M. *0.55=.293333 M. Unreimb cost: 0.45*0.24=.108 M. Net=.185333 M. Could expected net fee after expected unreimbursed costs also include expected cost in win branch if cost reimbursement comes from client's recovery and fee is one-third of remainder? We included cost reducing fee base. If one instead expected fee = 1/3 expected verdict = 0.55*1.84/3 = 0.337333M, then expected cost reimbursement? No. The rule clearly fee after costs. Good. Could expected unreimbursed cost include expert costs even in win branch if costs are reimbursed first but from client's share, not firm? It is reimbursed to firm. So no unreimbursed. Need maybe mention "expected unreimbursed cost is not $240,000 because 55% of the time the recovery reimburses it." Good. Let's consider if "expected net fee after expected unreimbursed costs" should subtract expected cost in loss branch only, but what about if plaintiff verdict but recovery less than costs? Not applicable; but could state all branches exceed costs. Good. Need maybe include "client's expected net recovery after loss branch is $0, not negative, because no recovery and no cost reimbursement required." Good. Potential legal analysis: Damages: permanent weakness requiring brace and reduced work hours; supports future medical, lost earnings, noneconomic. Verdict distribution accounts. Good. Could mention. Need maybe mention "qualified expert testimony: board-certified emergency physician and neurosurgeon are qualified." Good. Potential hidden: "A complaint must be filed within two years after the injury." It says injury? The delay occurred in past; limitations expires in 110 days. Maybe injury discovery? We don't need. Need maybe mention "No tolling for ordinary law office delay; calendar is critical." Good. Let's write final. Use a memo header maybe: **Intake Memorandum** **Client:** Lena Orr **Issue:** Accept/decline spinal infection malpractice **Recommendation:** Accept. Then sections. Need ensure final not include internal analysis. Good. Let's draft in polished form. Potential final text: ``` The case should be accepted if the firm is prepared to retain both experts immediately and file by Day 80. ... ``` Let's include all calculations. Need maybe include "conditional expected verdict" in bold. Let's include "All dollar figures are rounded to nearest dollar; calculations shown with fractions where useful." Good. Let's consider if there is any possibility that the expected net fee threshold fails because the firm's expected unreimbursed costs include not just loss but also costs not recovered from lien? No, costs reimbursed from recovery before lien, so if recovery enough. All verdicts >240k. Good. Potential issue: The lien is $160k and paid from client's remainder. In smallest verdict, client remainder after fee is $640k; enough. Good. Need maybe include "the hospital lien does not affect the firm fee; it only reduces Lena's net." Good. Could the firm's expected fee be reduced by the lien if the fee agreement says lien paid from client's remainder? No. Good. Let's maybe include "The 55% success probability is the only probability used for financial expectations; no settlement discount." Good. Now, final. Ensure no missing assignment bullet. One more thought: "A supporting expert certificate must accompany the complaint." Does each required expert need a certificate, or one supporting expert certificate? Policy says support from both required experts. We can say "file with both required certificates (or a joint certificate signed by both, if court practice allows, but ensure both experts' support is in the record)." Good. But don't overcomplicate. Need maybe mention "preliminary opinions are signed, but a preliminary opinion may not itself be a certificate; the conversion within 20 days cures." Good. Potential hidden: "The two preliminary experts will convert their opinions to signed certificates within 20 days if retained." Does that mean from now if retained, but if we retain after some days, still 20 days from retention. We assume immediate. Good. Need maybe mention "If the experts cannot convert within 20 days or are not retained, the intake condition fails; verify." Good. Let's final.