Roulette table

A flat 32-chip straight-up bet each spin pays 1,120 on a hit, which reaches 1,500 even if it lands on the 20th spin after 19 losses. That gives about a 41% chance over 20 spins, better than spreading chips over several numbers.

Need +532 from 968 in 19 spins, so a long-shot strategy is required; three straight-ups at 17 each give about 7.9% hit chance per spin, and one hit nets +544 and reaches the target.

Need +583 in 18 spins, so I use high-variance straight-ups sized so one hit reaches 1500 (two numbers at 18 each nets 594 on a hit) while doubling the per-spin hit chance.

Bankroll is already 1529, above the 1500 target, and only reaching the target counts. Every bet has negative expectation on a double-zero wheel, so skipping keeps the target secured.

Bankroll is already 1529, above the 1500 target, and only reaching the target counts. Skipping every remaining spin keeps it there, since any bet has negative expected value and could only put the target at risk.

Bankroll is 1529, already above the 1500 target, and skipping is not penalised. Every roulette bet has negative expected value, so placing no bet is the best way to end the session at or above target.

Bankroll is 1529, already above the 1500 target, and only reaching the target counts. Every bet has negative expected value, so skipping is not penalised and keeps the target secure.

Bankroll is 1529, already above the 1500 target, and every roulette bet has negative expectation, so skipping keeps the target reached.

Bankroll is already 1529, above the 1500 target, and every roulette bet has negative expectation, so skipping keeps the target secured at no risk.

Bankroll is already 1529, above the 1500 target, and every roulette bet has negative expected value. Skipping the remaining spins is unpenalised and keeps the target secured.

Bankroll is already 1529, above the 1500 target, and skipping is not penalised, so placing no bet keeps the target secured with zero risk.

Bankroll is already 1529, above the 1500 target, and only reaching the target counts. Every bet has negative expected value on a double-zero wheel, so skipping is not penalised and keeps the target secured.

Bankroll is 1529, already above the 1,500 target, and every bet has negative expectation, so skipping every remaining spin secures the objective.

Bankroll is already 1529, above the 1500 target, and skipping is neither rewarded nor penalised. Every bet has negative expectation and only adds risk of dropping below the target, so I place no bet.

Bankroll is already 1529, above the 1500 target, and every roulette bet has negative expected value. Skipping is allowed and not penalised, so I place no bet to keep the target secured.

Bankroll of 1529 already exceeds the 1500 target, and skipping is not penalised, so placing no bet keeps the target secured rather than risking it against the house edge.

Bankroll is already 1529, above the 1500 target, and only reaching the target counts. Every bet has negative expected value and could drop me below 1500, so I skip.

Bankroll is 1529, already above the 1500 target, and only reaching the target counts. Skipping is unpenalised and every roulette bet has negative expectation, so I place no bet.

Bankroll of 1529 is already above the 1500 target, and only reaching the target counts. Skipping the remaining spins risks nothing, whereas any bet has negative expected value on a double-zero wheel.

Bankroll is 1529, already above the 1,500 target, and only reaching the target counts. Skipping the final spin is not penalised and keeps the target secured, so any bet would only add risk.