Roulette table

Reaching +500 needs a high-payout bet; a straight-up hit at about 42 chips pays 1470 and clears the target. Spreading roughly 24 straight-up number-spins across the 20 spins maximizes the chance of at least one hit before the bankroll runs low.

Needing +584 from 916, only a straight-up hit can get there in time. Four numbers at 19 each (76 total) net +608 on a hit and allow about 12 spins of attempts, which looks close to the best chance of reaching the target.

Needing +660 from 840, three straight-ups at 20 chips each net exactly +660 on any hit (700 win minus 40 lost), reaching 1500. That gives a 3/38 chance per spin at an efficient cost, and the bankroll still covers several more attempts.

Needing +720 in 17 spins, only a straight-up hit can get there; four straights of 23 gives a hit net of about +736 (enough to reach 1500) with decent per-spin hit probability while preserving bankroll for repeated tries.

Needing +812 from 688 means only a straight-up hit can reach 1500; two straights at 24 each net +816 on a hit, which reaches the target, while limiting the loss per spin to 48.

Needing +860 from 640, outside bets can't realistically get there. Six straight-ups at 29 each (174 total) net +870 if any hits, reaching 1510, with about a 15.8% chance this spin.

Reaching 1500 needs a gain of 1034, so a 35:1 straight-up bet at 30 chips (+1050) is the cheapest single hit that gets there. At 30 chips a spin, the bankroll covers all 14 remaining spins, giving about a 31% chance of reaching the target.

Need +1064 in 13 spins, so only straight-up bets can get there. Five straights at 35 each stay within the 200 stake cap, and a single hit nets 1085, enough to reach 1500.

Needing +1239 from 261 with 12 spins left, only straight-up hits can get there. Five straights at 40 each (200 total) give a 5/38 chance of reaching 1500 on a single hit (261-200+1400+40 = 1501).

From 61 chips with 11 spins left, only a straight-up win can reach 1500 in time. A 42-chip straight pays 1470 and ends at 1531, so it reaches the target on its own. The remaining 19 chips go on a second straight-up to cover another number and leave a path to recovery.

Bankroll is 0 and the legal bet list is empty with max total stake 0, so no bet is possible; skipping is the only legal action.

Bankroll is 0 and legal_bet_ids is empty with max total stake 0, so no bet is legal; skipping with an empty bet list is the only valid action.

Bankroll is 0 and max total stake is 0 with no legal bet IDs, so the only legal action is to place no bet.

Bankroll is 0 and max stake is 0 with no legal bet ids, so no bet is possible; the fallback is no bet.

Bankroll is 0 and max total stake is 0 with no legal bet ids, 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; the fallback is no_bet, so I place no bets.

Bankroll is 0 and legal_bet_ids is empty with max total stake 0, so no bet is legal; the fallback is no_bet and I submit an empty bet list.

Bankroll is 0 and no legal bet ids or stake are available (max_total_stake is 0), so the only legal action is to place no bets.

Bankroll is 0 and the max total stake is 0 with no legal bet IDs, so no bet is possible and the only legal action is to place none.

Bankroll is 0 and the legal bet list and max stake are empty, so no bet is possible; the only legal action is to place no bet.