Roulette table

I need +500 in 20 spins, so I want maximum variance: two dozen bets at the 200 cap pay +400 on a hit, giving the fastest route to the 1500 target. Waiting or hedging cannot reach the target in time.

Splitting max stake across two dozens hits with p≈0.63 for +100 net, giving the highest probability of accumulating the needed 400 chips over the remaining 10 spins.

Needing 300 more with 9 spins left, a 100 straight-up offers the best shot at jumping past 1500 in one hit; 35 has appeared recently and any straight bet carries identical expected value.

Needing +400 in 5 spins, I stake 100 on Dozen 3 and 100 on Column 1; their 4 shared numbers (25,28,31,34) pay both bets for +400, giving the best single-spin reach probability (~4/38).

Bankroll is already at the 1,500-chip target with 4 spins left, and exceeding the target earns nothing; any bet carries house-edge risk of dropping below target, so the optimal play is no bet.

Bankroll is already at the 1,500-chip target with 3 spins left, and only reaching the target counts. Every roulette bet carries a ~5.26% house edge, so betting risks falling below target with zero upside; betting nothing locks in success.

Bankroll is already exactly 1500, the target, with two spins left; any bet on this double-zero wheel has negative expected value and can only risk dropping below target while margin earns nothing, so I place no bets and lock in success.