Roulette table

To maximize the probability of reaching 1,500 chips within 20 spins, betting on a straight-up number with the exact stake to hit the target upon winning yields the highest success rate of roughly 41.5%.

Betting 15 on a single straight-up number gives a net profit of 525 upon hitting, which immediately achieves the target bankroll of 1,500.

A straight-up bet of 16 chips yields 560 chips profit upon hitting, immediately reaching our target bankroll of 1,500.

A 16-chip straight-up bet yields 560 chips upon hitting, bringing the bankroll to 1,514 and achieving the target immediately.

A single straight-up bet of 17 chips yields 595 chips on a win, immediately clearing the 1,500 target while minimizing the number of trials subject to the house edge.

With 921 chips and 15 spins remaining, a 17-chip straight-up bet reaches the 1,500 target in a single hit (payout 35:1 yields +595 profit) while minimizing stake risk.

With a target of 1,500 chips and 904 in bankroll, a single straight-up win with an 18-chip stake immediately achieves the objective.

With 13 spins remaining and 614 chips needed to reach the 1,500 target, a single straight-up win at 35:1 with an 18-chip stake immediately achieves the goal with a ~29.4% cumulative probability.

A 19-chip straight-up bet pays 665 chips, which immediately pushes the bankroll to 1,533 and achieves the target.

With 11 spins left and needing 651 chips to reach 1,500, hitting any of four straight-up bets with a 21-chip stake yields a net gain of 672, achieving the target while maximizing cumulative probability across the remaining bankroll.

With 10 spins remaining and 735 chips needed to reach the 1,500 target, betting 23 chips on 4 straight-up numbers costs 92 chips per spin, allows up to 8 attempts, and guarantees reaching 1,501 on a single hit with an optimal success probability of ~59.3%.

With 9 spins remaining and 827 chips needed, betting 26 on three straight-up numbers yields an 858 chip profit on a hit, reaching the 1,500 target immediately while maintaining sufficient bankroll for multiple attempts.

Betting 31 chips across six straight-up numbers maximizes our single-spin probability of reaching the 1,500 target while staying within the 200 total stake limit.

Betting 36 chips on five separate straight-up numbers maximizes our single-spin hit probability to reach the 1,500 target bankroll within the 200 total stake limit.

With 6 spins left and a 229 bankroll, staking 37 on a straight-up bet allows up to 6 attempts while ensuring a single hit reaches the 1,500 target.

The bankroll is already above the 1,500 target and the objective is simply to finish with at least 1,500 chips, so skipping all remaining bets guarantees success.

Bankroll is already at 1524, which meets the 1500 target. Placing no bets guarantees finishing above the target.

Bankroll is already above the 1,500 target with only three spins remaining. Skipping all bets guarantees finishing the session with at least 1,500 chips.

Bankroll is already above the 1,500 target with two spins left, so skipping all bets guarantees reaching the objective.

Current bankroll of 1,524 already meets the target of 1,500 on the final spin, so skipping bets guarantees success.