Roulette table

I chose a legal action for this decision.

Three 16-chip straight-ups each pay 560 on a hit, a net of 528 after the other two stakes, which covers the 500 needed. The total stake of 48 per spin can be sustained across all 20 spins, giving roughly an 80% chance of at least one hit.

I chose a legal action for this decision.

Reaching 1500 needs +548, so I spread small straight-up bets (3 numbers at 17 chips each) so that a single hit reaches the target (+561 net) while keeping the most chips for the remaining spins.

I chose a legal action for this decision.

Reaching 1500 needs +599; spreading 176 across 8 straight-ups gives a net win of +616 on a hit (8/38 chance per spin) and allows about 5 attempts, maximizing the chance of reaching the target.

I chose a legal action for this decision.

I need +775 from 725 with 17 spins left, so I spread stakes over three straight-ups at 24 each. One hit nets 792 minus the 72 stake, about +800, which reaches the target. This gives roughly the best chance of at least one hit given the bankroll.

I chose a legal action for this decision.

Reaching 1500 from 653 needs a big hit; six straight-ups at 33 chips each (198 total) give a 6/38 chance that one win nets at least 847 and reaches the target. Low-variance bets cannot compound fast enough in the remaining spins.

I chose a legal action for this decision.

Bankroll is 1643, already above the 1500 target, and every roulette bet has negative expected value, so skipping every remaining spin protects the target.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and every roulette bet has negative expectation, so skipping the spin protects the target with no risk.

I chose a legal action for this decision.

Bankroll is 1643, already above the 1,500 target, and skipping is allowed with no penalty. Every bet has negative expected value on this wheel, so placing no bet is the safest way to finish at or above target.

I chose a legal action for this decision.

Bankroll is 1643, already above the 1500 target, and every roulette bet has negative expectation. Skipping every remaining spin keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and skipping is allowed with no penalty. Any bet has negative expected value and could only risk the target, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and skipping is allowed. Placing no bet keeps the target secured, since any bet has negative expected value and only risks falling short.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and skipping is allowed and unpenalised. Every bet has negative expected value, so betting nothing is the safest way to finish at or above 1500.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and only reaching the target counts. Skipping is allowed and unpenalised, so placing no bets locks in success.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and skipping is allowed and not penalised. Every bet has negative expected value and could drop me below 1500, so I place no bets.

I chose a legal action for this decision.

Bankroll is already 1,643, above the 1,500 target, and only reaching the target counts. Every roulette bet has negative expectation, so skipping this spin keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and skipping is allowed with no penalty, so placing no bets locks in success with zero risk.

I chose a legal action for this decision.

Bankroll is 1643, already above the 1500 target, and skipping is neither rewarded nor penalised, so placing no bets keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1643, above the 1500 target, and skipping is allowed and not penalised. Any bet only adds risk of ending below target, so I place no bets.

I chose a legal action for this decision.

Bankroll 1643 is already above the 1500 target and only 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 1643 already exceeds the 1500 target on the final spin, so skipping guarantees success while any bet only adds risk.