Roulette table

I chose a legal action for this decision.

A 15-chip straight-up hit profits 525, reaching 1525 from 1000. This minimal winning stake preserves bankroll for up to 20 attempts, escalating later stakes slightly to offset prior losses so any hit reaches 1500.

I chose a legal action for this decision.

Distance to target is 515, so a 15-chip straight bet profits 525 and reaches 1500 on a hit while preserving bankroll for the remaining spins.

I chose a legal action for this decision.

Covering two straight numbers with the minimum stake that reaches 1500 on a hit (16*35-16=544 net) maximizes repeated chances while preserving bankroll for many attempts.

I chose a legal action for this decision.

Need 562 to reach 1500. Seven straight bets at 20 each give a 7/38 chance to net 580 and reach the target in one spin, while costing only 140 on a miss and preserving bankroll for repeated attempts in the remaining spins.

I chose a legal action for this decision.

Bankroll is 1518, already above the 1500 target with 16 spins remaining. Betting nothing preserves the target since only reaching it counts and margin does not matter.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 15 spins remaining, so placing no bet preserves the successful outcome.

I chose a legal action for this decision.

Bankroll is 1518, already above the 1500 target with 14 spins remaining. Betting only risks falling below target, so I will preserve the bankroll by not betting.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 13 spins remaining, so betting only risks falling below target. Skipping preserves the successful bankroll.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with spins remaining, so not betting preserves the target and avoids negative-expectation risk.

I chose a legal action for this decision.

Bankroll is 1518, already above the 1500 target with 11 spins remaining. Betting risks dropping below target for no benefit, so I will preserve the bankroll by not betting.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 10 spins remaining, so betting nothing preserves success and avoids unnecessary variance.

I chose a legal action for this decision.

Bankroll is 1518, already above the 1500 target with 9 spins remaining, so not betting preserves the successful finish.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 8 spins remaining, so betting nothing preserves success and avoids unnecessary variance.

I chose a legal action for this decision.

Bankroll is 1518, already above the 1500 target with 7 spins remaining. Betting nothing preserves the target since only reaching it counts and extra margin has no value.

I chose a legal action for this decision.

Bankroll is 1518, already above the 1500 target with 6 spins remaining, so betting nothing preserves success.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 5 spins remaining, so placing no bet preserves the successful outcome and avoids unnecessary variance.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 4 spins remaining, so not betting preserves success and avoids unnecessary risk.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 3 spins remaining, so betting only risks falling below it. No bet preserves the successful bankroll.

I chose a legal action for this decision.

Bankroll 1518 already exceeds the 1500 target with 2 spins left, so betting risks falling below target for no benefit; skipping preserves success.

I chose a legal action for this decision.

Bankroll is 1518, already above the 1500 target on the final spin. Betting risks dropping below target with no benefit, so I skip to lock in success.