Roulette table

I chose a legal action for this decision.

Reaching +500 needs only one 35:1 hit, so I spread small straight-up stakes over three numbers per spin. A hit nets +561 now, and I can resize stakes on later spins to cover accumulated losses.

I chose a legal action for this decision.

Reaching 1500 needs a long-shot win, so I bet a 35-chip straight-up each spin. One hit on any of the remaining spins gets me to the target, and about 0.395 is my chance of at least one hit in 19 spins.

I chose a legal action for this decision.

I need +586 from 914 and only reaching 1500 counts, so I spread 198 chips over 9 straight-ups at 22 each. Any single hit pays 770 net of the other stakes, which clears the target (a hit pays 770 and the other eight stakes cost 176, so the net gain is 594), with about a 24% chance per spin.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and skipping is allowed with no penalty. 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 1508, above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expected value and could drop me below target, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and only reaching the target counts. Any bet has negative expected value on this wheel and could drop me below the target, so I skip the spin.

I chose a legal action for this decision.

Bankroll is 1508, already above the 1,500 target, and only reaching the target counts. Every roulette bet has negative expected value, so skipping the spin protects the target.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and skipping is allowed and unpenalised, so placing no bets keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and every roulette bet has negative expectation. Skipping is allowed and unpenalised, so I place no bet to keep the target.

I chose a legal action for this decision.

Bankroll is 1508, already above the 1500 target, and any bet has negative expected value on a double-zero wheel. Skipping carries no penalty, so I preserve the bankroll.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and only reaching the target counts. Skipping every remaining spin keeps the bankroll safe, since every bet has negative expected value.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1,500 target, and only reaching the target counts. Every bet has negative expectation, so skipping with no bet is the safest way to finish at or above 1,500.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1,500 target, and every roulette bet has negative expectation, so skipping this spin and the rest keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expectation, so I sit out to keep the target secured.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and only reaching the target counts. Every bet has negative expected value, so skipping is not penalised and keeps the target secured.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and only reaching the target counts. Skipping every remaining spin keeps it safe, since any bet has negative expected value and could drop us below the target.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1,500 target, and every bet has negative expected value, so skipping the remaining spins keeps the target reached.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and only reaching the target counts. Skipping the remaining spins avoids any risk of falling below it.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and skipping is not penalised. Any bet only adds risk of dropping below the target, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1508, above the 1500 target, and this is the last spin, so skipping keeps the target secured with no risk.