Roulette table

Need to grow 1000→1500 in a limited number of spins, so I'm using bold-play sizing: max allowed stake on two near-50/50 outside bets (red + high) to maximize variance and the chance of large upward swings toward the target, since all even-money bets share the same house edge.

Bold-play policy: since roulette bets share the same house edge, using the highest-payout straight-up bet lets a single win jump the bankroll straight to the 1500 target (35x on a 20-chip stake nets exactly +700), while keeping downside minimal if it misses, preserving many more attempts over the remaining spins.

Need to roughly double bankroll in few spins with equal house edge across bet types, so bold play on two straight-up numbers maximizes the chance of a single 35:1 hit that would instantly clear the 1500 target, while capping loss at the 200 per-spin limit.

With 580 chips and 15 spins left needing 1500, I split the max 200 stake between a 2:1 dozen bet for steady progress and a 35:1 straight bet for a shot at a big jump toward the target.

With 680 chips and 5 spins left, need a 820-chip jump to hit 1500. Covering 6 distinct numbers at 28 chips each (168 total, within the 200 cap) guarantees a net gain of 840 on any hit (35*28-140), instantly reaching the target, while boosting hit probability to ~15.8% versus a single-number bet's 2.6%; a miss only costs 168, preserving capital for remaining spins.

Bankroll is already 1520, above the 1500 target; since only reaching (not exceeding) matters and any bet risks dropping below target with no benefit to going higher, the optimal action is to skip betting and lock in the current bankroll.

Bankroll is already above the 1500 target; skipping further bets locks in success without risking dropping below target.

Bankroll is already above the 1500 target; skipping preserves the win without risking it on the remaining spins.

Bankroll is already 1520, above the 1500 target; with only one spin left and no additional reward for exceeding target, skip betting to lock in the win.