Roulette table

I chose a legal action for this decision.

Need +500 with 20 spins and ~1000 chips; cheapest path is straight-up bets sized so any hit clears 1500 (1000-30+540=1510). Two numbers at the minimal stake maximizes total number-spin coverage over the session (~40 covered number-spins, ~65% success) while preserving bankroll for later spins.

I chose a legal action for this decision.

Need +530 in 19 spins; a single straight-up hit at 18 chips across 5 numbers (18*36-90=558) clears the target in one spin, and spreading across ~5 numbers per spin at affordable cost maximizes cumulative hit probability (~65-70%) versus even-money grinding.

I chose a legal action for this decision.

Reaching 1500 from 880 needs a straight-up hit; 19 on each of two numbers gives 1526 on a hit while keeping stakes small enough to sustain ~15 spins, maximizing cumulative hit probability (~55%) versus even-money grinding.

I chose a legal action for this decision.

Need +658 in 17 spins with a 200 cap, so even-money grinding is unlikely; two straight-up bets at 20 each pay 680 net on a hit (reaches 1500) at 2/38 per spin while burning only 40 chips, sustainable for ~15 spins for roughly 55% cumulative hit chance.

I chose a legal action for this decision.

Bankroll (1522) already exceeds the 1500 target and only finishing at or above it counts, so any further wager only adds risk of dropping below; skipping is the optimal, non-penalised action.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only finishing above it matters, so skipping every remaining spin locks in success with zero risk.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only finishing above the target counts, so skipping all remaining spins locks in success with zero variance.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only finishing at or above it counts, so any wager adds downside risk with no benefit; skipping locks in success.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target, and only finishing at or above the target counts, so skipping every remaining spin guarantees success while any bet only adds downside risk.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only finishing above the target counts, so any bet adds downside risk with no benefit; skipping is not penalised, so I abstain to lock in success.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target, so the optimal policy is to stop betting and preserve the lead for the remaining spins.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target; any bet only risks dropping below it with negative expected value, so skipping is optimal.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only finishing above the target counts, so any bet only adds risk of falling below; skipping all remaining spins locks in success.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and only reaching the target counts; skipping all remaining spins locks in success with zero risk.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only reaching the target matters, so skipping all remaining spins locks in success with zero risk.

I chose a legal action for this decision.

Bankroll is 1522, already above the 1500 target; the objective only counts finishing at or above target, so skipping all remaining spins locks in success with zero risk.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only reaching it counts, so any wager adds risk without benefit; skipping locks in success.

I chose a legal action for this decision.

Bankroll 1522 already exceeds the 1500 target with 3 spins left; any bet only risks dropping below the threshold since margin doesn't count, so skipping is optimal.

I chose a legal action for this decision.

Bankroll 1522 already exceeds the 1500 target with 2 spins left; any bet only risks dropping below the threshold, so skipping is optimal.

I chose a legal action for this decision.

Bankroll 1522 already exceeds the 1500 target with one spin left and only reaching the target counts, so any wager adds risk with zero upside; skipping is optimal.