Roulette table

I chose a legal action for this decision.

Four straight-ups at 16 each profit 512 on a hit, enough to clear 1500, and the 64 total can be repeated about 15 times, which is a strong reach-target chance on a fair wheel.

I chose a legal action for this decision.

I need 564 more and only a straight-up can clear that in one spin; 17 is the smallest stake that reaches 1500 on a hit while leaving enough for many more attempts.

I chose a legal action for this decision.

A 581-chip gap clears on one straight hit at 22 if I cover nine numbers, the widest one-spin reach under the 200 stake cap, so I take that maximum-probability shot.

I chose a legal action for this decision.

I need 779 more, and seven straight bets of 27 still clear the target on a single hit while maximizing coverage within the 200 stake cap.

I chose a legal action for this decision.

Only a straight can reach 1500 in one hit from 532, and the minimum winning stake of 28 preserves the most attempts under a growing bold-play requirement.

I chose a legal action for this decision.

Only a straight can reach 1500 in one spin; 29 chips is the smallest stake that clears the target on a hit, preserving bankroll for later attempts.

I chose a legal action for this decision.

I chose a legal action for this decision.

Four minimum one-shot straights reach 1500 if any hits, and the stake still leaves enough for later single-number attempts if they miss.

I chose a legal action for this decision.

I need +1157 with 12 spins left, so only a 35:1 hit clears 1500. Five straights at 38 is the widest cover that still reaches the target on one hit and stays within the 200 stake cap.

I chose a legal action for this decision.

A 39-chip straight-up win pays 1365 and lifts the bankroll from 153 to 1518, clearing 1500 in one spin while leaving 114 for later attempts if it misses.

I chose a legal action for this decision.

A 42-chip straight is the smallest stake that reaches 1500 if it hits, and leaving 72 preserves a second full attempt.

I chose a legal action for this decision.

Only a straight-up pays enough to reach 1500 from 72 in one hit; 41 is the minimum stake that does it, leaving 31 for a two-hit recovery if this misses.

I chose a legal action for this decision.

With 31 chips and a 1500 target, only a straight-up hit multiplies the bankroll enough to stay alive; even-money and dozen bets cannot reach the target in the spins left.

I chose a legal action for this decision.

Bankroll is zero and no bets are legal, so I skip this spin.

I chose a legal action for this decision.

Bankroll is zero and no bets are legal, so I must skip this spin.

I chose a legal action for this decision.

Bankroll is zero and no bets are legal, so I skip this spin.

I chose a legal action for this decision.

Bankroll is zero and no bets are legal, so I must skip this spin.

I chose a legal action for this decision.

Bankroll is zero and no bets are legal, so I skip this spin.

I chose a legal action for this decision.

Bankroll is zero and no bets are legal, so I skip this spin.

I chose a legal action for this decision.

Bankroll is zero and no bets are legal, so the only valid action is to skip.