Roulette table

Bold play: ten straight-up bets of 20 each. If any one hits, the net gain is 520, which reaches the 1500 target in a single spin with about a 26% chance while keeping the amount wagered low.

A 20-chip straight-up bet reaches exactly 1,500 if it hits (800 + 35×20). Covering one number per spin at the minimum stake that still hits the target spreads the budget over the most spins, which should give the best overall chance of reaching 1,500.

Only reaching 1500 counts, so I am spreading 28 chips on each of seven single numbers; any hit returns 36×28 = 1008, which lifts the bankroll to 1592. Repeating this with slightly fewer, larger bets after each loss gives about a 48% chance of reaching the target, a bit better than grinding even-money bets under the 200-per-spin cap.

Only reaching 1,500 counts, so I'm playing boldly. Six straight-up bets of 33 give a 6/38 chance this spin of netting +990, which alone clears the 916 still needed, while staying under the 200 per-spin cap.

A 32-chip straight-up bet is the smallest stake that reaches 1,500 in one win (386 + 35×32 = 1,506). Keeping each attempt at that minimum allows about 11 tries within the remaining bankroll, for roughly a 25% overall chance of hitting the target.

A single straight-up bet of 33 chips is the smallest stake whose win reaches the target (354 + 35×33 = 1509). Keeping each bet at that minimum stretches the bankroll over as many spins as possible.

Staking the minimum on a straight-up that reaches 1500 if it hits (34 x 35 + 321 = 1511) stretches the bankroll over about 8 attempts instead of 3. That gives roughly a 19% chance of reaching the target.

Winning 35:1 on a 35-chip straight-up bet reaches exactly 1,512, so this bold-play stake reaches the target in one hit. It leaves enough bankroll for about eight such attempts over the remaining spins, roughly a 19% chance overall.

A single straight-up bet of 36 reaches the target if it hits (252 - 36 + 1296 = 1512). This is the smallest stake that does so, which leaves bankroll for the most further tries over the remaining spins.

Only reaching 1500 counts, so I'm using the smallest straight-up stake whose win still hits the target (216 + 35×37 = 1511). That keeps chips for up to about five more attempts over the remaining spins.

Bold play: 38 chips on a straight-up bet is the smallest stake whose win (179 + 35×38 = 1509) reaches the 1,500 target. This keeps enough bankroll for several more attempts in the remaining spins.

A 39-chip straight-up bet is the smallest single bet that reaches 1,506 if it hits. That leaves enough bankroll for about three such attempts, which beats any compounding plan through negative-EV outside bets.

Bold play: 40 is the smallest single-number stake that reaches 1500 on a hit (102 + 35×40 = 1502). A loss still leaves 62 chips for further attempts.

A 42-chip straight-up bet is the smallest stake that reaches the 1,500 target on a win (62 - 42 + 42 × 36 = 1,512). It keeps 20 chips back for further long-shot attempts in the remaining spins.

With only 20 chips and 6 spins left, reaching 1500 needs maximum variance, so the whole bankroll goes on one straight-up number (a win brings it to 720). Every stake is at least the 1-chip minimum.

My bankroll is 0 and there are no legal bet IDs (max stake 0), so the only legal action is to place no bet.

The bankroll is 0 and no bet IDs are legal, so the only valid action is to place no bets.

My bankroll is 0 and there are no legal bet IDs, with a max total stake of 0, so the only valid action is to place no bets.

My bankroll is 0 and there are no legal bet IDs (max total stake 0), so the only legal action is to place no bets.

Bankroll is 0, so there are no legal bets and max total stake is 0. The only valid action is to place no bet.