Roulette table

Betting 20 on each of 10 straight numbers gives a 10/38 chance to profit 520 and immediately reach 1520, while retaining 800 if it misses for later spins.

Need 700 to reach 1500; 21 on each of two straight numbers nets 714 on a hit, giving a 2/38 chance this spin while preserving bankroll for many similarly sized attempts.

Bankroll is 742 below target with 18 spins left; a 22-chip straight-up win pays 770, enough to reach 1500 in one hit, and repeating this minimum sufficient stake maximizes survival for a hit.

Bankroll 736 needs 764 to reach 1500; a 22-chip straight-up win pays 770, exactly reaching the target, and repeating this sized straight bet each remaining spin maximizes the chance of one hit.

Bankroll 714 needs 786 to reach 1500; a 23-chip straight-up win pays 805 net, reaching the target in one spin while using the minimum sufficient stake to preserve bankroll for up to 16 trials.

Covering three straight numbers for 25 each gives an 825-chip net gain on any hit, enough to reach 1500, while costing only 75 per spin to preserve bankroll for repeated attempts over the remaining spins.

Far below target with 14 spins left, a minimal straight-up stake of 41 makes any hit within the remaining spins reach 1500 while preserving bankroll to sustain all 14 attempts, maximizing hit probability.

Needing 925, a hit on any of four straight numbers at 29 each returns 1044 for a 1503 bankroll. This gives a 4/38 chance to reach the target immediately while preserving funds for further attempts if it misses.

Bankroll 459 needs 1041 to reach 1500; only a straight-up win can reach in one spin, and 30 is the minimum stake whose 35:1 profit reaches the target while preserving bankroll for repeated attempts over 12 spins.

Far from target with 11 spins left, a minimum straight-up stake of 31 wins 1085 profit, enough to reach 1514, while preserving bankroll for repeated attempts if it misses.

Bankroll 398 needs 1102 in 10 spins; a 32-chip straight-up win pays 1120 profit and reaches 1518, giving a 1/38 success chance per spin while preserving bankroll for repeated minimal sufficient attempts.

Bankroll 366 needs 1134 to reach 1500 in 9 spins; a 33-chip straight-up win pays 1155 profit and reaches the target immediately, while the minimal winning stake preserves bankroll for repeated attempts.

With 333 and 8 spins left, even-money bets cannot reach 1500; a 34-chip straight-up bet gains 1190 on a hit to reach the target while preserving bankroll for repeated attempts.

Bankroll 299 needs 1201 in 7 spins; a 35-chip straight-up win pays 1225 and reaches 1524, while the minimum reaching stake preserves bankroll for repeated 1/38 attempts.

With 264 chips and 6 spins left, 36 on a straight number is the minimum stake whose 35:1 win reaches 1500, preserving bankroll for repeated 1/38 attempts if it loses.

Bankroll 228 needs 1272 in 5 spins; even-money and dozen bets cannot reach the target quickly enough. A 37-chip straight-up bet wins 1295 profit to reach 1523, using the minimum sufficient stake to preserve bankroll for repeated attempts if it misses.

With 191 and 4 spins left, only a straight-up win can reach 1500; 38 is the minimum stake whose 35:1 win reaches the target while preserving bankroll for repeat attempts if it loses.

With 153 and three spins left, three straight bets of 41 give a 3/38 chance to gain at least 1347 and reach 1500 immediately, while preserving 30 chips for a growth-and-reach attempt on the final spins if they miss.

With 30 chips and two spins left, an all-in dozen gives a 12/38 chance to reach 90, from which two straight numbers can still reach 1500 on the final spin; this maximizes the two-step target probability.

Last spin with 90 chips needing 1410 profit: two straight bets of 45 each is the maximum coverage that still reaches 1500+ on a hit (1620), giving a 2/38 chance; three straights cannot reach the target within 90 chips.