Roulette table

I chose a legal action for this decision.

Reaching +500 requires a high-payout hit; two straight-ups at 15 each net +510 on a hit while keeping losses small enough to keep escalating for ~19 spins, giving roughly a 64% chance of hitting the target, far better than even-money grinding.

I chose a legal action for this decision.

Need +530 in 19 spins; four straight-up numbers at 17 each means any hit (4/38 per spin) lands at 1514 ≥ 1500, while the 68-chip cost per spin lets me repeat for ~14 spins, giving roughly 79% cumulative success, better than even-money grinding.

I chose a legal action for this decision.

Need +598 with 18 spins and a 200 cap; a single straight-up hit at 18 chips (35:1 = 630) clears the target, so covering 6 numbers at 18 each gives ~16% per spin for several spins before the bankroll runs down, roughly 60% overall, better than grinding even-money bets.

I chose a legal action for this decision.

Need +706 in 17 spins; three straight-ups at 22 each net 726 on a hit (reaching 1520) while costing only 66 per miss, letting me sustain this coverage for roughly 9 more spins for about a 50% overall chance, better than even-money grinding.

I chose a legal action for this decision.

Need +772 in 16 spins with 200/spin cap; sizing straight-up bets so a single hit (35:1 minus other stakes) reaches 1500 exactly gives ~5/38 per spin over several spins, roughly 45% overall, better than even-money or dozen grinding.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target and the objective only counts finishing at or above it, so the optimal policy is to place no bets and preserve the lead for the remaining spins.

I chose a legal action for this decision.

Bankroll is 1503, already above the 1500 target; any wager only risks dropping below it, so skipping every remaining spin maximizes success probability.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target; any wager only risks dropping below it, so skipping preserves success.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target; any wager only risks dropping below it, so the optimal policy is to skip every remaining spin.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target and only finishing at or above it matters, so any bet adds risk with no benefit; skipping is optimal.

I chose a legal action for this decision.

Bankroll of 1503 already exceeds the 1500 target and only finishing at or above the target counts, so any bet risks the win with no upside; skipping preserves the goal.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target and only finishing at or above target counts, so any wager adds downside risk with no upside; skipping preserves success.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target and only finishing at or above target counts, so any wager would only add downside risk; skipping all remaining spins locks in success.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target; any wager only risks dropping below it, so skipping (no bet) maximizes success probability.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target and only success counts, so any wager can only risk dropping below the threshold; skipping is the optimal policy.

I chose a legal action for this decision.

Bankroll of 1503 already meets the 1500 target and margin doesn't matter; any wager risks falling below the threshold with only 3 chips of cushion, so skipping is optimal.

I chose a legal action for this decision.

Bankroll is 1503, already above the 1500 target; any bet only risks dropping below it, so skipping (allowed, no penalty) is optimal for the remaining spins.

I chose a legal action for this decision.

Bankroll 1503 already exceeds the 1500 target; any bet only risks dropping below it, so skipping (no bet) locks in success.

I chose a legal action for this decision.

Bankroll of 1503 already exceeds the 1500 target with 2 spins left; any bet only risks dropping below the threshold since margin does not count, so skipping is optimal.

I chose a legal action for this decision.

Bankroll is already 1503, above the 1500 target, with one spin left; any bet risks dropping below target with no benefit since margin doesn't count. Skip.