Roulette table

I chose a legal action for this decision.

Reaching +500 in 20 spins needs straight-up hits. I'm staking two straights at 15 each so one hit lands about 1510, and I'll keep stakes sized so any later hit still reaches 1500.

I chose a legal action for this decision.

Needing +530 with a 200 per-spin cap, I spread the stake over 9 straight-ups at 22 each. One hit nets +594 to reach about 1564, with a 9/38 chance on this spin, and I can retry on later spins if it misses.

I chose a legal action for this decision.

Reaching 1500 needs +728, and two straight-ups at 22 each net +748 on a hit. This gives the best chance of reaching the target over the remaining spins while the bankroll lasts.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and every roulette bet has negative expected value. Skipping preserves the target, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and skipping is allowed with no penalty. Every roulette bet has negative expected value, so betting could only risk dropping below the target.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and skipping is allowed with no penalty, so placing no bet keeps the target secured with zero risk.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and every bet has negative expected value, so skipping the spin protects the target.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and skipping is allowed and unpenalised. Every roulette bet has negative expected value, so I place no bets and keep the position.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and skipping is allowed with no penalty. Placing no bet keeps the target secured, since any bet has negative expected value and could drop me below 1500.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and every bet has negative expected value and could drop me below it, so I skip this spin.

I chose a legal action for this decision.

The bankroll is 1520, already above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expectation on this double-zero wheel, so placing no bets for the remaining spins keeps the target secured.

I chose a legal action for this decision.

Bankroll is 1520, already 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 the spin.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and only reaching the target counts. Skipping is allowed and unpenalised, and every bet has negative expected value, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and only reaching the target counts. Skipping every remaining spin keeps it safe, since a skip is neither rewarded nor penalised.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and skipping is allowed and not penalised. Every bet has negative expectation, so I place no bet to keep the target secured.

I chose a legal action for this decision.

Bankroll is 1520, already above the 1,500 target, and skipping is allowed with no penalty. Any bet has negative expected value and could drop me below the target, so I sit this spin out.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and every bet has negative expected value. Skipping is allowed and not penalised, so I place no bet to stay at or above the target.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and only reaching the target counts. Every bet has negative expectation and could drop me below it, so I skip the spin.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and only reaching the target counts. Skipping both remaining spins keeps it safe at no risk.

I chose a legal action for this decision.

Bankroll is already 1520, above the 1500 target, and only success counts, so on the final spin skipping keeps the target secured with no risk.