Roulette table

These bets give an 8-in-38 chance of immediately reaching 1,504 chips, with little wasted overshoot. A miss leaves 856 chips and 19 spins for further attempts.

Any of these eight pockets brings the bankroll to exactly 1,500, giving an 8/38 chance of reaching the target this spin without overshooting. A miss leaves 672 chips and 18 spins to continue.

Any of these four pockets brings the bankroll to 1,504, reaching the target with little overshoot. A miss leaves 568 chips and 17 spins for further attempts; all pockets are equally likely.

A 27-chip straight-up win brings the bankroll to 1,513, reaching the target. This is the smallest single-number stake that does so, preserving chips for further attempts if it loses.

A 28-chip straight-up win raises the bankroll to 1,521, reaching the target without unnecessary overshoot. A loss preserves 513 chips for the remaining 15 spins; every pocket is equally likely.

Any of these five pockets brings the bankroll to 1,505, reaching the target without paying for unnecessary overshoot. A miss leaves 353 chips and 14 spins for further attempts.

A 33-chip straight-up win raises the bankroll to 1,508, reaching the target immediately. This is the smallest straight-up stake that does so, preserving 320 chips for later attempts if it loses.

Any of these four pockets brings the bankroll to 1,504, meeting the target without substantial overshoot. A miss leaves 172 chips for another target-reaching attempt; all pockets are equally likely.

A 38-chip straight-up win brings the bankroll to 1,502, meeting the target immediately. It is the smallest stake that can do so, preserving 134 chips for further attempts if it loses.

A 40-chip straight-up win reaches 1,534 chips, clearing the target immediately. A loss leaves 94 chips for further attempts with ten spins remaining.

A 41-chip straight-up win raises the bankroll to 1,529, clearing the target with the smallest possible one-spin stake. A loss leaves 53 chips for further attempts over the remaining nine spins.

A hit raises the bankroll to 1,523, meeting the target immediately. This is the smallest straight-up stake that reaches the target, preserving 11 chips for the remaining spins if it misses.

A straight-up win would raise the bankroll to 221, creating several chances to reach 1,500 in the remaining spins. Keeping 5 chips preserves a recovery chance if this bet loses.

With only 5 chips and seven spins left, a straight-up win would rebuild the bankroll to 180 and create several chances to reach 1,500. This accepts the risk of immediate ruin in pursuit of the target.

The bankroll is zero and no bets are legal, so skipping is the only available action.

The bankroll is zero and no bets are legal, so skipping is the only available action.

The bankroll is zero and no bets are legal, so skipping is the only available action.

The bankroll is zero and no bets are legal, so skipping is the only available action.

The bankroll is zero and no bets are legal, so skipping is the only valid action.

The bankroll is zero and no bets are legal, so skipping is the only available action.