Roulette table

I chose a legal action for this decision.

Reaching +500 requires a straight-up hit; betting the minimum stake such that any single hit clears 1500 (16x35-32=+528) across 3 numbers keeps me alive ~13 spins with ~1/13 hit chance per spin, roughly 65% overall success, far better than even-money bets.

I chose a legal action for this decision.

Need +548 in 19 spins against a house edge, so bold play with max total stake and higher variance is best; stacking high with dozen 3 gives +300 on a third-dozen hit (two such hits reach the target) while keeping max exposure at 200.

I chose a legal action for this decision.

Reaching 1500 from 752 via even-money bets needs 4 net wins in 18 spins (~15%); instead a straight-up stake of 22 (ceil(748/35)) clears the target on one hit, so spreading ~24 number-spins over the session gives roughly 45-50% success. Two numbers at 22 each keeps the loss on a miss small enough to sustain the plan.

I chose a legal action for this decision.

Need +792 with 17 spins left; a 23-chip straight-up hit (805) clears the target in one shot while keeping stakes small enough to afford all 17 attempts, giving ~36% success versus ~29% for even-money grinding.

I chose a legal action for this decision.

Need +815 in 16 spins; even-money grinding is unlikely to get there, so I spread 26 chips on four straight-ups sized so a single hit (4/38 per spin) lands bankroll at 1517 >= 1500, keeping enough bankroll for several more attempts.

I chose a legal action for this decision.

Need +919 with 15 spins left; a 28-chip straight-up hit pays 1008, enough to reach 1500 in one go. Betting two numbers at 28 each spreads ~56 chips/spin so the bankroll funds qualifying shots across most remaining spins, maximizing cumulative hit probability (~40%) versus ~15% from max-stake all-in shots.

I chose a legal action for this decision.

At 525 with 14 spins left, even-money bets can't realistically net +975 under the 200/spin cap, so bold play on a straight-up is best: 28 on one number pays 1008, taking the bankroll to 1505 on a hit, and the stake is small enough to repeat this each remaining spin (~31% cumulative hit chance).

I chose a legal action for this decision.

Needing +1003 in 13 spins with a 200 cap, only straight-up bets can realistically reach the target; a single-number stake of 45 is affordable for 11 spins and any hit within those spins clears 1500, maximizing hit probability (~25%).

I chose a legal action for this decision.

Need +1048 in 12 spins; even-money grinding is nearly hopeless, so take the minimum straight-up stake (30) that reaches exactly 1500+ on a hit, preserving chips for ~12 independent 1/38 attempts (~27% overall).

I chose a legal action for this decision.

At 422 chips needing +1078 in 11 spins, even-money or dozen bets can't realistically get there; only a straight-up hit does. Staking 34 on each of four numbers yields 422-136+1224=1510 on any hit, and spreading the bankroll across ~11 number-spins maximizes cumulative hit probability (~29%).

I chose a legal action for this decision.

With 286 chips and 10 spins left, only straight-up hits can reach 1500; a 35-chip straight-up win yields 1511, and betting one number per spin preserves about seven independent 1/38 shots, which is roughly the best cumulative probability available.

I chose a legal action for this decision.

Bankroll of 1511 already exceeds the 1500 target and only finishing above it matters, so any wager adds downside risk with no upside; skipping locks in success.

I chose a legal action for this decision.

Bankroll is 1511, already above the 1500 target; only reaching the target counts, so any further bet only risks dropping below it. Skipping is allowed and not penalised.

I chose a legal action for this decision.

Bankroll 1511 already exceeds the 1500 target and only reaching it counts, so skipping (no bet) locks in success with zero risk.

I chose a legal action for this decision.

Bankroll of 1511 already exceeds the 1500 target and only reaching it counts, so any wager carries downside risk with no upside; skipping locks in success.

I chose a legal action for this decision.

Bankroll is 1511, already at or above the 1500 target with 5 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 of 1511 already exceeds the 1500 target and only reaching the target counts, so any wager adds downside risk with no upside; skipping locks in success.

I chose a legal action for this decision.

Bankroll 1511 already exceeds the 1500 target; any bet only risks dropping below it, so skipping preserves success.

I chose a legal action for this decision.

Bankroll of 1511 already exceeds the 1500 target with two spins left; any wager only risks dropping below the threshold, so skipping locks in success.

I chose a legal action for this decision.

Bankroll is 1511, already above the 1500 target with one spin left; any bet risks dropping below target with no upside since margin does not count, so skipping is optimal.