Roulette table

Ten straight-up bets of 20 use the full 200-chip spin cap and cover 10 of 38 pockets. Any hit pays 700 against 180 lost on the others, a net gain of 520, which reaches the 1500 target in one spin.

I need 700 more chips in 19 spins. Two 21-chip straight-up bets means either hit takes me to about 1,514, and that stake level can be kept up across the remaining spins with the current bankroll.

With 758 chips and a 1500 target, seven straight-ups at 26 each (182 total) reach the target in one hit (net +754) with about an 18% chance per spin. Concentrated bold play limits how long the house edge wears down the bankroll.

Bold play: the smallest single straight-up stake whose win reaches 1,500 (576 - 27 + 972 = 1,521). Escalating the stake this way keeps total wagering low under the 100/200 caps, giving roughly a 36% chance of reaching the target.

A single hit of 28 on one number (+980) takes 549 to 1529, above the 1,500 target. Using the smallest stake that clears the target each spin spreads the bankroll over as many independent attempts as possible.

Bold play: a 28-chip straight-up bet takes the bankroll to 1501 on a hit. That reaches the target in one win while keeping enough chips for many more attempts over the remaining spins.

A single straight-up bet of 29 chips reaches the 1,500 target in one hit (493 + 35×29 = 1,508). Sizing each bet to the minimum that still reaches the target lets the bankroll cover about 13 more shots over the remaining spins, which gives the best chance of reaching the target.

With 464 chips, 1500 needed and 13 spins left, a 30-chip straight-up bet reaches 1514 on a single hit. Keeping the stake at this minimum lets me take the most shots at the target.

This is bold play toward the 1,500 target with a bankroll of 434 and 12 spins left. Two 32-chip straight-up bets pay 34×32 = 1,088 net if either hits, reaching 1,522, and this stake size lets me repeat the attempt for about six spins.

Reaching 1,500 from 370 needs a long shot, and a straight-up win is the only realistic path. Five different 40-chip straights on this spin give a 5/38 chance of ending at 1,610; if they all miss, 170 is left for a second round of four straight bets that would still reach the target.

Only reaching 1,500 counts, and I have 170 chips. Four 42-chip straight-up bets cover 4 of 38 pockets, and any single hit brings the bankroll to 1,514, giving about a 10.5% chance to reach the target.

With only 2 chips and 9 spins left, reaching 1,500 needs consecutive long-shot wins, so I'm staking the whole bankroll on one straight-up number for the 35:1 payout. This is the only realistic path to the target.

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

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

My bankroll is 0 and there are no legal bet IDs or stake capacity, so no bet is possible. I am submitting an empty bet list.

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

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

My bankroll is 0 and the legal bet list is empty with a max stake of 0, so the only legal action is no bet. The target can no longer be reached.

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

The bankroll is 0 and there are no legal bet IDs, with a maximum stake of 0, so the only valid action is to place no bet. The target can no longer be reached.