Roulette table

I chose a legal action for this decision.

Reaching +500 needs a high-payout bet; three straight-ups at 16 chips each net +528 on any hit (35*16 minus the 32 lost on the other two). That costs only 48 chips per spin, which keeps many spins available to hit.

I chose a legal action for this decision.

Needing +548 from 952, only a straight-up hit can reach the target; four numbers at 18 each nets 576 on a hit (10.5% per spin) at modest cost, preserving bankroll for repeated attempts.

I chose a legal action for this decision.

Needing +620 from 880, I spread 20 chips on each of five straight-ups so one hit pays exactly 620 net while losing spins cost a moderate 100 chips.

I chose a legal action for this decision.

Two straight-ups at 22 each give a single hit a net of +748, enough to reach 1500 from 780, while the 44 chip per-spin cost lets me play all 17 remaining spins.

I chose a legal action for this decision.

Bankroll is 1528, already above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expected value, so placing none protects the target.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1500 target, and skipping is allowed and unpenalised, so placing no bet locks in success with no risk.

I chose a legal action for this decision.

Bankroll is 1528, already above the 1,500 target, and skipping is allowed and unpenalised. Every bet has negative expected value, so placing no bet keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1528, 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 am placing no bet.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1500 target, and only reaching the target counts. Every roulette bet has negative expected value, so skipping is the safest way to stay above 1500.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1500 target, and skipping is allowed and not penalised. Every bet has negative expected value and could only risk dropping below the target, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1500 target, and skipping is allowed with no penalty. Any bet only adds the risk of dropping below the target, so I place no bets.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1500 target, and only reaching the target counts. Skipping every spin keeps it there, since any bet has negative expectation and risks falling below 1500.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1500 target, and a skip is allowed with no penalty. Every bet has negative expected value on a double-zero wheel, so placing no bets keeps the target secured.

I chose a legal action for this decision.

Bankroll is 1528, already above the 1500 target, and skipping is allowed. Betting has negative expected value and only risks falling below the target, so I skip.

I chose a legal action for this decision.

Bankroll is 1528, already above the 1500 target, and success is all that counts. Skipping is allowed and unpenalised, so placing no bet avoids any risk of falling below the target.

I chose a legal action for this decision.

Bankroll is 1528, already above the 1,500 target, and skipping is allowed with no penalty, so placing no bet locks in success without risking anything.

I chose a legal action for this decision.

Bankroll is 1528, already above the 1500 target, and roulette has negative expectation, so skipping the remaining spins keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1500 target, and skipping is allowed and unpenalised. Placing no bets for the remaining spins locks in success.

I chose a legal action for this decision.

Bankroll is already 1528, above the 1,500 target, and only reaching the target counts. Skipping the spin keeps the bankroll safe at no risk, since skipping is not penalised.

I chose a legal action for this decision.

Bankroll is 1528, already above the 1500 target on the final spin, so skipping keeps the target secured; any bet only adds risk.