Roulette table

I chose a legal action for this decision.

Optimal bold play for subfair roulette: bet the maximum total stake on the largest set of straight numbers such that a single win yields at least the needed profit (500). Betting 20 on 10 numbers gives 26.3% chance to reach 1500 immediately.

I chose a legal action for this decision.

Bankroll is already at 1520, above the 1500 target. Skipping this spin avoids any risk of dropping below the target.

I chose a legal action for this decision.

Bankroll is already above the 1500 target, so skipping this spin preserves a guaranteed successful finish.

I chose a legal action for this decision.

Already above target bankroll (1520 >= 1500); skipping avoids risk and guarantees success.

I chose a legal action for this decision.

Already above the 1,500-chip target at 1,520, so skipping avoids unnecessary risk of dropping below the threshold.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, so I will skip remaining spins to avoid risking a drop below the threshold.

I chose a legal action for this decision.

Current bankroll 1520 is already above the 1500 target with 14 spins left; preserving capital by skipping avoids any risk of falling below target.

I chose a legal action for this decision.

Already above the 1,500-chip target at 1,520; skipping avoids unnecessary risk of falling below it.

I chose a legal action for this decision.

Already above the 1500 target at 1520 chips, so skipping preserves the bankroll and locks in success.

I chose a legal action for this decision.

Already above the target bankroll with only 11 spins left; skipping avoids unnecessary risk of falling below 1500.

I chose a legal action for this decision.

Current bankroll is 1520, already above the 1500 target. With no need to gain more and risk of dropping below target, skipping this spin is optimal.

I chose a legal action for this decision.

Already above the 1500-chip target at 1520 with 9 spins remaining. Skipping avoids negative expected value and preserves the bankroll needed to finish above target.

I chose a legal action for this decision.

Current bankroll is 1520, already above the 1500 target. With only 8 spins left and no need for extra margin, skipping all bets preserves the target bankroll and avoids unnecessary risk.

I chose a legal action for this decision.

Current bankroll is already above the 1,500 target with only 7 spins left; skipping avoids any risk of dropping below the required finish threshold.

I chose a legal action for this decision.

I am already above the target bankroll of 1500, so skipping all remaining bets guarantees I finish with at least 1500 chips. Since only reaching the target matters, this is optimal.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, so avoiding any risk by not betting protects the finish.

I chose a legal action for this decision.

Current bankroll is 1520, already above the 1500 target. With only 4 spins remaining, making no bet avoids any risk of falling below the target.

I chose a legal action for this decision.

Already above the 1,500-chip target with only 3 spins left; sitting out avoids unnecessary risk of dropping below the threshold.

I chose a legal action for this decision.

Current bankroll is already 1520, above the 1500 target, so preserving it with no bet is the safest way to finish successful.

I chose a legal action for this decision.

Already at 1520 chips, above the 1500 target with one spin left; betting would only add risk of dropping below the threshold, so I skip this spin.