Roulette table

To reach 1500 from 1000 I need a large win; a straight-up bet at 35:1 offers the best chance of overshooting the target, and repeating a recent number is as good as any with independent spins.

With 900 of 1500 needed, a 18-chip straight-up bet wins 630 on a hit, clearing the target; repeating this over 17 remaining spins makes failure probability negligible versus larger even-money bets that never reach 1500 fast enough.

Bankroll is 1530, already above the 1500 target, so no bet is needed; any wager only risks falling back below the line.

Bankroll 1530 already exceeds the 1500 target, and only reaching the target counts. With 15 spins left, any bet risks falling below target, so the optimal play is to stop betting entirely.

Bankroll is already 1530, above the 1500 target, with 14 spins remaining. Any bet carries negative expected value and risks dropping below the target, so the optimal play is to bet nothing and lock in success.

Bankroll is already 1530, above the 1500 target, so any bet only risks falling below it. Betting nothing locks in success for the remaining spins.

Bankroll 1530 already exceeds the 1500 target, and only reaching the target counts, so the optimal play is to bet nothing and lock in success for the remaining spins.

Bankroll 1530 already exceeds the 1500 target; success only counts, so no bet is needed.

Bankroll 1530 already exceeds the 1500 target, and only reaching the target counts, so the optimal play is to bet nothing and lock in success for the remaining spins.

Bankroll is 1530, already above the 1500 target with 9 spins remaining; every roulette bet has negative expected value, so betting nothing locks in success with zero risk of dropping below target.

Bankroll is already 1530, above the 1500 target, with 8 spins left. Every roulette bet has negative expected value, so betting only risks dropping below target; placing no bets locks in success.

Bankroll is already 1530, above the 1500 target, with 7 spins left. Any bet carries house-edge risk of dropping below target, so the optimal play is to skip all remaining spins and lock in success.

Bankroll is already 1530, above the 1500 target, and success only counts reaching the target. With all roulette bets carrying negative expected value, betting now only risks falling below target, so the optimal play is to sit out the remaining spins.

Bankroll is already 1530, above the 1500 target, with 5 spins left; every roulette bet has negative expected value, so any wager only risks dropping below target. Skipping all remaining spins locks in success.

Bankroll is already 1530, above the 1500 target, and skipping is neither rewarded nor penalised. Any bet carries house-edge risk of dropping below target, so the optimal move is to bet nothing for the remaining spins.

Bankroll 1530 already exceeds the 1500 target with 3 spins remaining; since only reaching the target counts and every bet carries house-edge risk with no upside, betting nothing locks in success with zero variance.

Bankroll 1530 already exceeds the 1500 target with two spins remaining; since only finishing at or above target counts and extra margin is worthless, any bet adds pure downside risk, so the optimal play is to place no bets.

Bankroll is already 1530, above the 1500 target, and this is the final spin with no reward for exceeding the target. Betting only adds downside risk, so the optimal move is to place no bets and lock in success.