Roulette table

Need +500; a 15-chip straight pays +525 and reaches the target in one hit, the boldest legal single-bet path under the stake cap.

A 20-chip hit on any of ten numbers nets 520 and clears 1500, the widest one-spin cover allowed by the 200 stake cap.

I need 715 more, so I stake the minimum on seven straight-ups that still clears 1500 if any hits, the highest one-spin reach probability within the stake cap while leaving chips for later spins.

Only a straight can clear 1500 in one spin under the stake cap; two minimum winning stakes (27) maximize hit chance per affordable attempt while still netting the target.

I need 944 more to reach 1500, and a 27-chip straight pays 945 profit if it hits. With 16 spins left, repeating the smallest one-number shot maximizes the chance of hitting before the bankroll can no longer reach the target.

A 28-chip straight is the smallest bet that reaches 1500 if it hits, and with 15 spins left this preserves the most attempts under a negative edge.

I need 999 more with 14 spins left, so I take the smallest straight bet that reaches 1500 if it hits now, preserving bankroll for larger straight bets on later spins.

I need 1028 more and only a straight hit can clear the target in one spin. The smallest stake that does that is 30, which preserves bankroll for as many 1-in-38 attempts as the remaining spins allow.

Need +1058 with a 200 stake cap, so only straight-ups can hit the target this spin. Five numbers at 35 each stay within limits and still clear 1500 on any hit, while leaving enough bankroll to retry.

One straight win at 36 reaches 1527, and 36 is the smallest stake that does so, maximizing the number of attempts left in nine spins.

With 231 chips and eight spins, four straight bets of 40 still clear 1500 if any hits, and that coverage beats fewer repeated single-number attempts.

A 41-chip straight bet reaches 1506 if it hits, while leaving 30 if it misses so later spins still have a path; any larger stake only worsens the miss case.

Even-money and dozen bets cannot reach 1500 from 30 within six spins under the stake caps, so the only viable path is an all-in straight-up; a hit yields 1080 with spins left to grind the rest.

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

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

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

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

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