Roulette table

I chose a legal action for this decision.

I'm using a near-bold-play plan with two straight-up bets sized so one hit takes me past 1500 (to 1510). Stakes will grow after misses, which should give roughly a 64% chance of reaching the target within 20 spins.

I chose a legal action for this decision.

With 19 spins left, about 23 single-number bets of 42 chips fit the 970-chip bankroll, and any one hit still lifts me past 1,500. This gives roughly a 46% chance of reaching the target, far better than the low-variance even-money bets.

I chose a legal action for this decision.

Eight straight-up bets of 25 chips each win a net 700 if any of them hits. That alone takes the bankroll from 886 past the 1500 target, giving roughly an 8/38 chance per spin at a cost of 200 per miss.

I chose a legal action for this decision.

For a reach-the-target goal on a negative-edge wheel, bold play is best. Six straight-ups at 29 chips each mean any single hit returns 870 net, which takes the bankroll from 686 past 1,500 in one spin.

I chose a legal action for this decision.

Reaching 1500 from 512 calls for bold play. A 42-chip straight-up bet gives about 12 independent 1/38 shots: any single hit within roughly the next 12 losses still lifts the bankroll past the target, which gives more chances than betting 100 per spin.

I chose a legal action for this decision.

With 470 chips I need a big jump to reach 1500. A 30-chip straight-up bet is about the smallest stake that clears the target if it hits, which leaves me as many attempts as possible across the remaining spins.

I chose a legal action for this decision.

A 31-chip straight-up bet reaches 1525 if it hits. This is the smallest single-number stake that gets me to 1,500, which spreads my 440 chips over the most possible attempts in the 14 spins left.

I chose a legal action for this decision.

Bold play toward the target: five straight-ups of 36 each, so any hit lifts the bankroll from 409 to about 1525, which clears the 1500 target. That is roughly a 13% chance this spin, and a miss still leaves enough chips to try again.

I chose a legal action for this decision.

I need +1271 from 229. Five straight-up bets of 45 each give about 5/38 odds of hitting the target, because any single win reaches it. That beats concentrating everything into one or two max bets.

I chose a legal action for this decision.

I need roughly an 8x return with 11 spins left, so a single straight-up hit of 38 chips is the most efficient path: it lifts the bankroll to 1514. This stake also leaves enough chips for about four more attempts.

I chose a legal action for this decision.

I need 1,354 more chips, so I am using bold play: 39 on one straight-up number brings the bankroll to 1,511 on a win. If it loses, enough chips remain for more attempts.

I chose a legal action for this decision.

A 40-chip straight-up win reaches 1507 chips, which hits the target. Staking 40 rather than the full stack keeps enough chips for a second identical attempt if this one loses.

I chose a legal action for this decision.

A 41-chip straight-up bet is the smallest stake that reaches the target if it hits (67 - 41 + 41 x 36 = 1,508). It keeps 26 chips back for later attempts instead of going all-in for the same 1-in-38 chance.

I chose a legal action for this decision.

With 26 chips and 7 spins left, the target of 1500 needs maximum variance, so the whole bankroll goes on one straight-up number. A hit gives 936 chips, and one more straight-up hit at the 100-chip cap would clear the target.

I chose a legal action for this decision.

Bankroll is 0 and no bet IDs are legal (max stake 0), so the only valid action is to place no bets.

I chose a legal action for this decision.

Bankroll is 0 and no bets are legal (max total stake is 0), so the only valid action is to place no bets.

I chose a legal action for this decision.

Bankroll is 0 and no bet IDs are legal (max stake 0), so the only valid action is to place no bets.

I chose a legal action for this decision.

Bankroll is 0 and there are no legal bet IDs, so the only valid action is to place no bets.

I chose a legal action for this decision.

My bankroll is 0 and there are no legal bet IDs or stake capacity, so no bet is the only legal action.

I chose a legal action for this decision.

My bankroll is 0 and there are no legal bet IDs, with max stake and total stake both 0, so the only valid action is to place no bet.