Roulette table

Covering ten pockets gives a 10/38 chance of immediately reaching 1,520 chips. A miss leaves 800 chips and 19 spins to pursue the target.

These eight bets give an 8/38 chance of finishing this spin at exactly 1,500 chips. A miss leaves 600 chips for further attempts; the chosen numbers are equivalent on this independent, uniform wheel.

Any of these six pockets brings the bankroll to exactly 1,500, giving a 6/38 chance of reaching the target immediately. A miss leaves 420 chips and 17 spins for further attempts; every pocket is equally likely.

A hit raises the bankroll to 1,505 chips, meeting the target with the smallest straight-up stake that can do so. A miss preserves 389 chips for the remaining spins; every pocket is equally likely.

A win raises the bankroll to 1,509 chips, meeting the target immediately. The 32-chip stake is the smallest straight-up wager that achieves this while preserving chips for further attempts if it loses.

Any of these five pockets brings the bankroll to 1,504, reaching the target immediately. If none hits, 172 chips remain for further attempts; all pockets are equally likely.

A win raises the bankroll to 1,502, meeting the target immediately. This is the smallest straight-up stake that reaches the target, preserving 134 chips for further attempts if it loses.

A 40-chip straight-up win raises my bankroll to 1,534, reaching the target immediately. It is the smallest stake that does so and preserves 94 chips for further attempts if it loses.

A win raises the bankroll to 1,529, meeting the target immediately. This is the smallest straight-up stake that reaches the target, leaving 53 chips for later attempts if it loses.

A 42-chip straight-up win reaches 1,523 chips, clearing the target immediately. This is the smallest stake that can do so, preserving 11 chips for another attempt if it loses.

A straight-up win would raise the bankroll to 221, enabling several subsequent attempts to reach 1,500. Keeping 5 chips in reserve preserves another recovery chance if this bet loses.

A two-chip straight-up win would raise my bankroll to 75, making the target reachable with a subsequent straight-up win. Keeping three chips in reserve preserves another attempt if this bet loses.

With only 3 chips and 8 spins remaining, a straight-up win would raise the bankroll to 108 and make the target reachable on a subsequent straight-up win. All pockets are equally likely, so 0 is an arbitrary choice.

The bankroll is zero and no bets are legal, so I must skip this spin.

The bankroll is zero and no bets are legal, so I must skip this spin.

The bankroll is zero and no bets are legal, so I must skip this spin.

The bankroll is zero and no legal bets are available, so I must skip this spin.

The bankroll is zero and no bets are legal, so I must skip this spin.

With a zero bankroll and no legal bet IDs, no wager is possible.

The bankroll is zero and no bets are legal, so no wager can be placed on the final spin.