Roulette table

Any one of these four outcomes would take the bankroll past 1,500, while the 64-chip total stake preserves funds for later spins if none hits.

A hit on any of these nine pockets brings the bankroll to 1,503 chips, meeting the target immediately. Spreading the straight-up bets gives a 9-in-38 chance this spin while staying within the 200-chip limit.

Any of these seven outcomes would bring the bankroll above 1,500 immediately. Spreading the stakes gives a 7-in-38 chance of reaching the target on this spin.

Any of these six outcomes brings the bankroll above 1,500. A 32-chip stake on each keeps the total wager below the 200-chip limit.

Any of these five pockets pays enough to reach 1,500 chips immediately. The pockets are equally likely, so their identities do not affect the chance of success.

A dozen bet gives a substantial bankroll increase on 12 of 38 pockets while leaving 81 chips for later spins if it loses.

A 41-chip straight-up win would take the bankroll past 1,500 immediately. If it misses, 40 chips remain for the 13 later spins; previous outcomes do not affect the odds.

A 40-chip straight-up win would raise the bankroll to 1,440, leaving only 60 chips to reach the target with 12 spins remaining. Previous outcomes do not affect the next spin.

The bankroll is zero and no bets are legal, so there is no available action that can reach the target.

The bankroll is zero, so no stakes or bets are legal.

The bankroll is zero, so no stake is legal and the target is unreachable.

With zero chips and no legal bets available, there is no action that can change the bankroll.

The bankroll is zero and no bets are legal, so there is no available action that can reach the target.

The bankroll is zero and no bets are legal, so there is no available action that could reach the target.

The bankroll is zero, so no stakes are legal. There is no available bet that could reach the target.

The bankroll is zero and no bets are legal, so there is no available wager.

The bankroll is zero, and the legal maximum stake is zero, so no bet is possible.

With zero chips and no legal bet IDs, no wager can be placed.

The bankroll is zero, so no stake is legal and the target cannot be reached.

With zero chips and no legal bets, there is no action that can reach the target.