Roulette table

I chose a legal action for this decision.

Reaching +500 needs a long shot, so I spread about 23 straight-up bets of 42 chips each over the session. One hit then pays 1470 and clears the target even after the earlier losses, which gives roughly a 45% chance of success.

I chose a legal action for this decision.

I need +584 in 19 spins, and a 17-chip straight-up pays 595, which reaches the target in one hit. It risks only 17 chips per spin, so I can keep trying for the hit across the remaining spins.

I chose a legal action for this decision.

Needing +601 from 899, a single straight-up hit at 19 chips (net 627 after covering three numbers) reaches the target, so spreading three straights per spin maximizes the chance of at least one hit before bankroll runs out.

I chose a legal action for this decision.

Reaching 1500 needs +658; eight straight-ups at 24 chips each is the widest spread (8/38 chance) where a single hit still lands at 1514, within the 200 per-spin limit.

I chose a legal action for this decision.

Bankroll is 1514, already above the 1500 target, and only reaching the target counts. Skipping is not penalised, so I place no bet and avoid any risk of dropping below the target.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and only reaching the target counts. Roulette has negative expectation, so skipping the spin is the safest way to stay above target.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and only reaching the target counts. Every bet has negative expected value, so skipping is safest.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and skipping is allowed with no penalty, so placing no bet keeps the target secured against the negative-edge wheel.

I chose a legal action for this decision.

Bankroll is 1514, already above the 1500 target, and roulette has negative expectation, so skipping every remaining spin keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and every roulette bet has negative expectation. Skipping keeps the target reached at no risk.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and every roulette bet has negative expected value, so skipping preserves the success condition.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1,500 target, and only reaching the target counts. Every bet has negative expectation and could drop me below 1,500, so I skip and keep the chips.

I chose a legal action for this decision.

Bankroll is already 1514, 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 1514, already above the 1500 target. Any bet has negative expectation and risks falling below it, so I skip the spin, which is neither rewarded nor penalised.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1,500 target, and every roulette bet has negative expected value. Skipping the remaining spins keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and skipping is not penalised. Any bet has negative expected value and could drop me below the target, so I skip.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and skipping is allowed and not penalised. Every bet has negative expected value and could only lower the chance of finishing at or above 1500, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1514, above the 1500 target, and skipping is allowed with no penalty. Betting only adds risk of falling below the target, so I skip.

I chose a legal action for this decision.

Bankroll is 1514, already above the 1500 target, and only reaching the target counts. Skipping is allowed and unpenalised, so I place no bet and avoid any risk.

I chose a legal action for this decision.

Bankroll is 1514, already above the 1500 target on the final spin, so placing no bet secures success; any bet over 14 chips risks falling below target.