Roulette table

With a 500-chip deficit to the 1500 target and 18 spins left, the regret-minimizing (bold-play) approach is a single high-payout straight-up bet sized just enough (35x15=525) to clear the target if it hits, while risking only 15 chips if it misses, preserving bankroll for repeated attempts.

Need roughly +515 profit to hit the 1500 target; a 15-chip straight-up stake returns 525 on a hit (35:1), so spreading 15 chips across 13 distinct numbers (195 of the 200 cap) gives about a 34% chance this single spin reaches the target outright while keeping per-spin loss bounded if it misses, leaving ample spins to retry.

With 790 chips and 9 spins left, a single straight-up hit already exceeds the 1500 target if staked high enough; spreading 25 chips across 7 numbers (175 total) maximizes hit probability (~18%) while guaranteeing any win pushes bankroll past 1500, balancing coverage against the 200-chip spin cap.

With 8 spins left and a bankroll of 615, the fastest sub-fair-game strategy to reach the 1500 target is bold play: place the smallest straight-up stake (26 chips) that, if it hits (35:1 payout), pushes the bankroll to 615+35*26=1525\u22651500, minimizing the number of exposures to the house edge.

With 589 chips and 7 spins left I need a 911-chip jump; covering 6 numbers at 31 chips each (186 total, within the 200 cap) guarantees that any hit pays 30x the stake (930 net), vaulting the bankroll past 1500 in a single spin, while 6 numbers is the maximum coverage that still meets that profit threshold under the stake limits, giving the best hit probability (6/38) for an instant target reach.

Bankroll is already at 1519, above the 1500 target; since only reaching the target counts, I skip betting to avoid unnecessary risk of dropping back below it.

Bankroll is already 1519, above the 1500 target; since only reaching the target counts (not exceeding it further), skipping avoids unnecessary risk of dropping back below target with no additional benefit.

Bankroll is already at 1519, above the 1500 target; skipping further bets avoids unnecessary risk of falling back below the goal.

Bankroll is already at 1519, above the 1500 target; skipping further bets avoids any risk of dropping back below target with 3 spins left.

Bankroll is already 1519, above the 1500 target with 2 spins left; skipping further bets avoids any risk of falling back below the target.

Bankroll is already 1519, above the 1500 target, and this is the final spin; skipping preserves the success condition without risking a drop below target.