Roulette table

Reaching 1500 needs +500, which only a 35:1 straight-up hit can deliver quickly. Ten numbers at 20 chips each uses the 200 spin cap, so a hit on the first spin nets +520 and reaches the target. The cost is a 200-chip loss on a miss.

Reaching 1500 needs +700, so I use two straight-ups sized to hit the target with one win (21 chips each nets +714 on a hit). This should give roughly a 50% chance of reaching the target over the remaining spins, better than a single straight (about 39%) or three (about 48%).

Need +742 with 18 spins left, so a flat outside bet is too slow. Seven straight-ups at 26 chips each (182 total) net +754 on any hit, which reaches 1500 with about 18% chance per spin.

Reaching 1500 from 576 needs about +924, which only a straight-up hit can deliver. A 28-chip straight pays 980, so either number hitting reaches exactly 1500. Two numbers per spin use the remaining spins and chips efficiently.

Reaching 1500 from 520 needs a big win, so I bet a single straight-up at the minimum stake (28 chips) whose 35:1 hit reaches the target, which gives the best chance with the remaining spins.

A 29-chip straight-up win pays 1015 and lifts the bankroll from 492 to 1507, so one small bet reaches the target. Single straight-ups are the cheapest way to buy that win chance across the remaining 15 spins.

The target needs a gain of about 1037 from 463, which only a straight-up hit can deliver in the time left. A 30-chip straight pays 1050 and lands on 1513, so I stake exactly 30 per spin to afford as many attempts as possible.

Reaching 1500 from 433 needs a +1067 gain, and a 31-chip straight-up win pays 1085, which is enough. Spreading 31-chip straight bets over the remaining spins gives the best chance of hitting once, at roughly 29%.

Needing +1098 with 12 spins left, only straight-up bets can get there. Five straights at 36 chips each (180 total) make any single hit bring the bankroll to at least 1500 (402 - 180 + 36*36 = 1518), with about a 13% chance per spin.

Reaching 1500 from 222 needs a single straight-up hit with a stake of at least 37 (37*35=1295, so 222+1295=1517), and a hit at that stake is the most efficient route to the target within the remaining spins.

Needing 1500 from 185 with 10 spins left, a 38-chip straight-up bet pays 1330 on a hit, which reaches the target exactly. I'll repeat this each spin, scaling the stake to the target.

Reaching 1500 from 147 needs roughly a 10x gain, so I used the fewest chips that let any one of three straight-ups hit 1500 (41 each pays 35:1, giving 1500 exactly) and kept 24 in reserve.

Reaching 1500 from 24 needs a large multiple, so a single straight-up hit (35:1) is the only realistic path. I put the full 24 on it to get the biggest payout, which would then leave enough spins for one more hit to reach the target.

Bankroll is 0 and legal_bet_ids is empty with max_total_stake 0, so no bet is legal; the only valid action is to place no bets.

Bankroll is 0 and legal_bet_ids is empty with max total stake 0, so no bet is legal; the only valid action is to place no bets.

Bankroll is 0 and legal_bet_ids is empty with max_total_stake 0, so no bet is legal; the only valid action is to place no bets.

Bankroll is 0 and legal_bet_ids is empty with max total stake 0, so no bet is legal; the only valid action is to place no bets.

Bankroll is 0 and there are no legal bet ids or allowed stake, so the only legal action is to place no bet.

Bankroll is 0 and legal_bet_ids is empty with max_total_stake 0, so no bet is legal; skipping is the only valid action.

Bankroll is 0 and the legal bet list and max stake are empty, so no bet is legal. Skipping with no bets is the only valid action.