Roulette table

I chose a legal action for this decision.

Bold play toward the target: ten straight-ups at 20 chips each win 26×20 = 520 net with probability 10/38, enough to reach 1,500 in a single spin while minimizing total chips exposed to the house edge.

I chose a legal action for this decision.

Small straight-up bets give the best chance of reaching the target, because a single hit takes the bankroll to 1,500 or more. Staking 21 on each of two numbers means one hit nets at least +700, while the bankroll can fund many more attempts.

I chose a legal action for this decision.

Only reaching 1500 counts, and every bet loses on average, so I'm playing for high variance. Seven 26-chip straight-ups each reach the target on a hit (758+936-182=1512) and together give the widest per-spin coverage I can buy while keeping a reserve.

I chose a legal action for this decision.

A 27-chip straight-up bet is the smallest stake that reaches the 1500 target in one hit (576 - 27 + 36*27 = 1521). Keeping each bet minimal preserves bankroll for as many of the remaining 17 spins as possible.

I chose a legal action for this decision.

I need +951 in 16 spins, so I'm sizing two straight-up bets so that either hit takes me to 1500 (549 - 56 + 1008 = 1501). That keeps each spin cheap enough to get many tries at the target.

I chose a legal action for this decision.

I need +1007 with 15 spins left. A single straight-up bet sized so a hit reaches 1500 (29 x 35 = 1015) gives about 14 shots before I run out, which maximizes my chance of reaching the target.

I chose a legal action for this decision.

I need +1036 to reach 1,500, and a 30-chip straight-up wins 1,050. That reaches the target in a single hit while keeping the stake small enough to spread my bankroll across the remaining spins.

I chose a legal action for this decision.

A single straight-up bet sized so that one hit reaches 1500 (434 - 31 + 1116 = 1519) spreads the bankroll across about 11 spins. That gives roughly a 26% chance of reaching the target, far better than full-size bets.

I chose a legal action for this decision.

Reaching 1,500 from 403 needs bold play. Five straight-ups at 40 chips each covers 5/38 of the wheel, and any single hit brings the bankroll to 1,643, which reaches the target.

I chose a legal action for this decision.

Staking 38 on one number means a single hit lifts the bankroll to 1533, just over the target. Using the smallest stake that still reaches 1500 on a hit leaves enough chips for about five such attempts, roughly a 12.5% overall chance versus about 5% from betting 100s.

I chose a legal action for this decision.

A 39-chip straight-up bet is the smallest stake whose 35:1 win (165 - 39 + 1365 = 1491... recalculated as 165 + 1365 = 1530) clears 1,500 in a single hit. That leaves enough bankroll for about four such attempts, which gives the best practical odds of reaching the target.

I chose a legal action for this decision.

I need +1374 from 126, so bold play is required. A 40-chip straight-up is the smallest stake that reaches 1500 if it hits, which keeps chips back for further attempts.

I chose a legal action for this decision.

With 86 chips and 1500 needed, splitting 43 on each of two straight-ups means either hit pays 1548. That gives about a 2/38 chance of reaching the target, the best achievable from here.

I chose a legal action for this decision.

Bankroll is 0, max stake is 0, and there are no legal bet IDs, so no bet is possible and I place none.

I chose a legal action for this decision.

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

I chose a legal action for this decision.

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

I chose a legal action for this decision.

My bankroll is 0 and no bet IDs 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 there are no legal bet IDs, so no bet can be placed; the only legal choice is to submit no bets.

I chose a legal action for this decision.

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

I chose a legal action for this decision.

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