Roulette table

I chose a legal action for this decision.

Reaching +500 needs a long shot. A 40-chip straight pays 1400, so I can afford about 22 misses and still hit 1500, and spreading bets across 20 spins maximizes the hit probability (~45%). Starting with two straights this spin.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, and every roulette bet has negative expectation, so skipping preserves the success condition.

I chose a legal action for this decision.

Bankroll of 2360 already exceeds the 1500 target, and only reaching the target counts, so skipping every spin avoids any risk.

I chose a legal action for this decision.

Bankroll of 2360 already exceeds the 1500 target, and skipping is allowed and unpenalised, so placing no bet locks in success without risk.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, and every bet has negative expectation, so skipping preserves the target at no risk.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, and only reaching the target counts. Skipping is not penalised, so I place no bets and avoid any risk.

I chose a legal action for this decision.

Bankroll is 2360, already above the 1500 target, and every roulette bet has negative expected value. Skipping is neither rewarded nor penalised and cannot reduce the bankroll, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, so skipping is not penalised and any bet only adds risk with negative expected value.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, so skipping every spin keeps the target safe, while any bet only adds risk.

I chose a legal action for this decision.

Bankroll of 2360 already exceeds the 1500 target, and only reaching the target counts, so skipping every spin keeps the success locked in with no risk.

I chose a legal action for this decision.

Bankroll is 2360, already above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expected value on a double-zero wheel, so placing no bet is the best way to stay above the target.

I chose a legal action for this decision.

Bankroll is 2360, already above the 1500 target, and skipping is allowed and not penalised, so placing no bet keeps the target secured.

I chose a legal action for this decision.

Bankroll of 2360 already exceeds the 1500 target, and only reaching the target counts, so skipping (no bet) preserves success with no risk; skip is not penalised.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, and skipping is neither rewarded nor penalised, so placing no bet locks in success.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, and only reaching the target counts. Skipping is allowed and not penalised, so any bet would only add risk with no benefit.

I chose a legal action for this decision.

Bankroll is 2360, already above the 1500 target, and skipping is allowed with no penalty. Betting only adds risk, so I place no bet to lock in success.

I chose a legal action for this decision.

Bankroll is 2360, already above the 1500 target, so skipping is allowed and can't lower it. Placing no bet guarantees the target is met.

I chose a legal action for this decision.

Bankroll is already 2360, well above the 1500 target, with 3 spins left. Skipping is not penalised, and any bet has negative expected value, so placing no bet keeps the target secured.

I chose a legal action for this decision.

The bankroll of 2360 is already above the 1500 target, and the margin does not matter. Skipping the remaining spins carries no risk and has no penalty.

I chose a legal action for this decision.

Bankroll is already 2360, above the 1500 target, and this is the final spin, so skipping keeps the target secured with no risk.