Roulette table

We need 515 chips to reach the 1,500 target. A straight-up bet of 15 chips pays 35:1 (+525 net), immediately reaching the goal if hit while minimizing bankroll lost on a miss.

With a bankroll of 970 needing 530 chips to hit the 1,500 target, a single straight-up bet of 16 chips reaches 1,530 on a win (35:1 payout) while minimizing bankroll risk on a loss.

With 17 spins remaining and needing 546 chips to reach 1,500, a straight-up bet of 16 chips pays 35:1 for a 560 profit, reaching the target bankroll immediately upon a single hit.

We need 562 chips to hit the 1,500 target. A straight-up bet of 17 pays 595 net, reaching the target in one hit while preserving bankroll across all remaining spins.

With 14 spins remaining and a 579-chip shortfall to reach 1,500, a 17-chip straight-up bet yields 595 on a win to achieve the target immediately with higher probability over the session than outside bets.

Betting 19 chips across four straight-up numbers provides a single-spin win of 608 chips, which reaches the 1,500 target immediately while maximizing hit probability over the remaining spins.

With 12 spins left and 672 chips needed to reach 1,500, a single straight-up bet of 20 chips pays 700, immediately achieving the target bankroll while conserving capital if it misses.

With 11 spins remaining and 692 chips needed to reach 1,500, a 20-chip straight-up bet achieves the target in a single win while conserving bankroll across remaining attempts.

With 788 chips and a target of 1500, hitting any of the three straight-up bets with a 22-chip stake yields a net profit of 726 chips, reaching 1514 chips and securing the objective.

Covering 7 numbers at 27 chips each maximizes single-spin hit probability to reach the 1,500 target immediately upon winning.

Covering 6 numbers with 33 chips each gives a 6/38 chance to gain 990 chips, surpassing the 1,500 target immediately while staying within the 200 stake limit.

With 7 spins remaining and a bankroll of 335 needing 1500, a single hit on a straight-up bet with stake 34 pays 35:1 (1,190 chips), immediately surpassing the 1,500 target. We have enough bankroll to sustain this bet across all remaining spins.

With 6 spins left and needing to reach 1,500 chips from 301, betting 40 chips on each of five straight numbers maximizes the single-spin probability (5/38) of immediately hitting the target bankroll (reaching 1,541).

Betting 40 on a single number yields a return of 1,440 plus the remaining 61 chips, hitting the 1,500 target immediately while leaving enough chips for a second attempt if it misses.

With four spins remaining and 61 chips, a 42-chip straight-up bet yields 1,531 chips upon hitting, satisfying the 1,500 target while preserving 19 chips for future attempts if it misses.

With 19 chips and 3 spins left to reach 1,500, our only mathematically viable path is hitting consecutive straight-up bets.

Bankroll is depleted to 0, so no further bets are possible.

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