Roulette table

Betting 15 chips on a straight-up number pays 35:1 for a net gain of 525 chips, which immediately achieves the 1,500 target upon winning while preserving bankroll across all 20 spins.

Betting 15 on a straight-up number yields a net profit of 525 chips on a hit, immediately reaching the 1,500 target bankroll.

Covering 9 straight-up numbers with 20 chips each maximizes the single-spin probability (9/38) of reaching the 1,500 target bankroll within the 200 total stake limit, yielding +540 net on any hit.

Betting 22 chips on two straight-up numbers yields a 748 chip profit on a hit, reaching the 1,500 target immediately while maintaining enough bankroll for all 17 remaining spins.

Betting 22 chips on a straight-up number yields a profit of 770 upon winning, which reaches the target bankroll of 1,500.

With 724 chips and a 1,500 target, a straight-up win with stake 23 yields 805 profit, immediately hitting the goal while conserving capital across remaining spins.

Betting 24 on two straight-up numbers yields an 816 chip net win upon a hit, reaching the 1,500 target while keeping total cost at 48 per spin across all 14 remaining spins.

With 13 spins remaining and needing 847 chips to reach the 1,500 target, hitting any single number with a 26-chip stake yields a net profit of 858 chips, immediately achieving the target. Spreading across three numbers optimizes our cumulative probability of hitting across the bankroll while staying within table limits.

With 575 chips and a target of 1500, a win on a 28-chip straight bet nets 952 chips, achieving the objective. Betting on two numbers balances coverage and survival across up to 10 spins.

Betting 29 chips on a single straight-up number is the minimal single bet that reaches the 1,500 target on a win (29 * 35 = 1,015 net gain), conserving bankroll for future spins.

With 10 spins remaining and needing 1,010 chips to reach 1,500, hitting a 30-chip straight-up bet nets 1,020 chips and instantly achieves the target. Placing two 30-chip straight-up bets maximizes the hit probability per spin within bankroll limits.

Betting 42 on two straight-up numbers costs 84 chips, leaving plenty of bankroll for subsequent attempts while a single hit yields 430 - 84 + 42*36 = 1858, achieving the 1500 target.

Covering 5 straight-up numbers at 38 chips each reaches the 1,500 target immediately on a hit while keeping total stake under 200.

To reach the 1,500 target from 156 bankroll, a single straight-up win with at least a 39 stake satisfies the condition immediately while preserving bankroll for subsequent attempts if it misses.

A 40-chip straight-up win yields 1,400 chips of net profit, taking the bankroll to 1,517 to clear the 1,500 target while leaving 77 chips for another attempt if it misses.

A single straight-up win at a 41 chip stake yields 1,512 chips, immediately clearing the 1,500 target while preserving 36 chips for future attempts if missed.

With 36 chips and 4 spins remaining to reach 1,500, a straight-up win is necessary to have a viable path to the target.

Bankroll is zero, so no legal bets can be placed.

With a bankroll of 0, no legal bets can be placed.

Bankroll is 0, so no bets can be made.