Roulette table

I chose a legal action for this decision.

Reaching +500 needs a long-shot hit, so I spread small straight-up bets: four numbers at 16 chips each give about 10.5% per spin, and one hit nets 512 chips, enough for the target, while the bankroll covers roughly 15 spins.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is not penalised, so placing no bet locks in success.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and only reaching the target counts. Every bet has negative expected value, so skipping is not penalised and keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is allowed and not penalised. Any bet has negative expected value and could only put the target at risk, so I skip.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is not penalised. Not betting keeps the target secured with no variance.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and every roulette bet has negative expectation. Skipping keeps the bankroll safe and skipping is not penalised.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is not penalised. Any bet has negative expected value on a double-zero wheel and could drop me below the target, so I skip.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is allowed and not penalised. Every bet has negative expected value, so I sit out to keep the target.

I chose a legal action for this decision.

The bankroll is already 1512, above the 1,500 target, and only reaching the target counts. Every bet has negative expected value on this wheel, so I skip the spin, which carries no penalty.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1,500 target, and skipping is allowed and not penalised. Every bet has negative expected value, so betting nothing is the safest way to finish at or above target.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and only reaching the target counts. Every bet has negative expectation, so skipping the remaining spins is the safest way to finish at or above 1500.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expected value and could drop me below the target, so I place no bets.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expected value on a double-zero wheel, so I place no bet to keep the target secured.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and every roulette bet has negative expectation, so skipping preserves the target. Skipping is allowed and not penalised.

I chose a legal action for this decision.

Bankroll is 1512, already above the 1500 target, and only reaching the target counts. Skipping the spin avoids any risk of falling below it.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and only reaching the target counts. Every bet has negative expected value and could drop me below 1500, so I skip this spin.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expected value and could only drop me below the target, so I place no bet.

I chose a legal action for this decision.

The bankroll is already 1512, above the 1500 target, and skipping is allowed and unpenalised. Every bet has negative expected value and could drop me below target, so I place no bets.

I chose a legal action for this decision.

Bankroll is already 1512, above the 1500 target, and skipping is allowed and neutral, so I place no bets to avoid any risk of dropping below the target.

I chose a legal action for this decision.

Bankroll is 1512, already above the 1500 target with one spin left, so skipping keeps the target secured and any bet adds only risk.