Roulette table

I chose a legal action for this decision.

Covering 10 numbers at 20 each gives a 10/38 chance that any hit nets +520 and reaches 1500 immediately, while a miss still leaves 800 and 19 spins to adapt.

I chose a legal action for this decision.

Bankroll 800 needs 700 to reach 1500; a 20-chip straight-up win pays 700 exactly, maximizing repeated attempts at 1/38 each over 19 spins without risking bust.

I chose a legal action for this decision.

Bankroll 780 needs 720 to reach 1500. Three straight bets at 22 each give a 3/38 chance to net 726 and reach the target immediately, while costing only 66 on a miss and preserving bankroll for many further attempts over 18 spins.

I chose a legal action for this decision.

Far from target with 17 spins left, a minimal straight-up bet that reaches 1500 on a hit maximizes repeated chances to hit once before the bankroll runs out.

I chose a legal action for this decision.

Bankroll 690 needs 810 to reach 1500 in 16 spins; a 24-chip straight bet pays 840 and reaches the target in one hit while risking little per spin, allowing repeated attempts.

I chose a legal action for this decision.

Bankroll 666 needs 834 to reach 1500; a 24-chip straight-up bet profits 840 on a hit, exactly reaching the target with the highest one-spin success chance for that goal while preserving bankroll for remaining spins.

I chose a legal action for this decision.

Far from target with 14 spins left, a minimum straight-up stake of 25 wins 875 profit, enough to reach 1517, while preserving bankroll for repeated attempts if it misses.

I chose a legal action for this decision.

Bankroll 617 needs 883 in 13 spins; a 39 straight-up bet pays 1365, so any single hit in the remaining spins reaches 1500 even after prior losses, while preserving enough bankroll to bet all 13 spins.

I chose a legal action for this decision.

Bankroll 578 needs 922 to reach 1500; a 27-chip straight-up win pays 945, enough to hit the target while preserving bankroll for up to 12 independent attempts.

I chose a legal action for this decision.

Bankroll 551 needs 949 to reach 1500; a 28-chip straight-up win pays 980 profit, exactly enough to reach the target while preserving bankroll for repeated attempts over 11 spins.

I chose a legal action for this decision.

With 523 chips and 10 spins left, a 28-chip straight-up win pays 980, reaching 1503. This preserves enough bankroll to repeat the minimum target-reaching straight bet on later spins, maximizing chances to hit once.

I chose a legal action for this decision.

Bankroll 495 needs 1005 to reach 1500 in 9 spins; a 29-chip straight-up win pays 1015 profit and reaches the target in one hit while preserving bankroll for repeated attempts.

I chose a legal action for this decision.

Bankroll 466 needs 1034 to reach 1500; a 30-chip straight-up win pays 1050, the minimum stake that reaches the target in one hit while preserving bankroll for the remaining spins.

I chose a legal action for this decision.

Bankroll 436 needs 1064 to reach 1500; a 31-chip straight-up win profits 1085 and reaches the target, while minimizing the loss if it misses and preserving bankroll for repeat attempts in the remaining spins.

I chose a legal action for this decision.

Far below target with 6 spins left, only a straight-up win can reach 1500 in one spin; betting the minimum 32 needed (32*35=1120 profit) preserves bankroll for repeated attempts.

I chose a legal action for this decision.

With 373 chips, 5 spins left and a 1500 target, I need a straight-up hit; covering five numbers at 37 each reaches 1520 on any hit while leaving 188 if it misses.

I chose a legal action for this decision.

With 188 chips and 4 spins left, a 38-chip straight-up bet reaches 1518 if it hits while preserving 150 chips for further minimum reaching bets if it misses.

I chose a legal action for this decision.

With 150 chips and 3 spins left, a 39-chip straight-up win reaches 1515 while preserving enough bankroll for two more sufficient straight-up attempts if it loses.

I chose a legal action for this decision.

With 111 and two spins left, only a straight-up win can reach 1500; betting 40 wins immediately to 1511 while a loss leaves 71, enough for a 41 straight-up bet on the final spin to still reach the target.

I chose a legal action for this decision.

Last spin with 71 chips needing 1500: only a straight-up win can reach the target, requiring at least 42 on one number, so I concentrate all chips on a single number for the maximum 1-in-38 chance.