Roulette table

Reaching +500 needs a big payout, so I use straight-up bets sized so a single hit (net +510) reaches the 1500 target, while spreading over many spins for repeated chances.

Reaching 1500 needs +530, so I spread 20-chip straight bets over 9 numbers (180 staked). A hit nets +540, which reaches the target, and each spin hits with probability 9/38. This should give roughly a 70% chance of reaching the target over about 5 spins, versus lower odds from small-edge outside bets.

Needing +710 from 790, only a straight-up hit can get there, so I place two straights at 22 each. One hit reaches 1500 or more, and the smaller stakes preserve bankroll for more spins.

Needing +754 in 17 spins, only a straight-up hit can get there. Two 23-chip straights net +782 on a hit, and the 46-chip cost per miss lets me keep this up for about 16 spins.

Needing +800 from 700 in 16 spins, only long-shot straight-up bets can get there. Three 25-chip straights reach 1,525 on a hit (33×25 = 825 net) while limiting the loss to 75 chips per miss so I keep several tries.

I need +875 in 15 spins, so I'm betting straight-ups sized so one hit reaches 1500 (26 on each of two numbers nets 884 on a hit). This risks a small amount per spin and allows about 12 attempts.

Needing +927 in 14 spins, a single straight-up hit with four numbers at 29 each nets +928 and reaches 1500, while keeping enough bankroll for several more tries if it misses.

Reaching 1500 from 457 needs +1043, so a single straight-up hit at 31 chips on either of two numbers (net +1054) reaches the target. Two numbers per spin gives about the best chance of a hit across the remaining bankroll and spins.

Bankroll of 1511 already exceeds the 1500 target and only reaching the target counts, so skipping (no penalty) preserves success while any bet has negative expectation.

Bankroll is already 1511, above the 1500 target, and skipping is not penalised. Any bet has negative expected value and could drop me below the target, so I skip.

Bankroll is already 1511, above the 1500 target, and only reaching the target counts. Every bet has negative expected value, so skipping (which is not penalised) is the safest choice.

Bankroll is already 1511, above the 1500 target, and skipping is not penalised, so placing no bets locks in success while any bet has negative expected value.

Bankroll is already 1511, above the 1500 target, and skipping is allowed and unpenalised, so placing no bet keeps the target secured against the house edge.

Bankroll is already 1511, above the 1500 target, and only finishing at or above the target counts. Every bet has negative expected value and only adds risk, so I skip this spin.

Bankroll is 1511, already above the 1500 target, and skipping is not penalised, so placing no bet locks in success rather than risking the surplus.

Bankroll is 1511, already above the 1500 target, and skipping is not penalised, so placing no bet keeps the target secured against the house edge.

Bankroll is already 1511, above the 1500 target, and only reaching the target counts. Skipping every remaining spin keeps it there, since any bet has negative expected value and could drop me below 1500.

Bankroll is already 1511, above the 1500 target, and skipping is allowed without penalty. Any bet has negative expected value and could drop me below 1500, so I skip.

Bankroll is already 1511, above the 1500 target, and skipping is allowed and not penalised. Placing no bets on the last two spins locks in success.

Bankroll is 1511, already above the 1,500 target on the final spin. Skipping is allowed and unpenalised, so it locks in success with no risk.