Roulette table

Need +500 in 20 spins with max 200 per spin; high-variance straight-up bets give the best chance of reaching the target, since low-variance bets cannot realistically get there.

I need +700 from 800, and a single straight hit with 8 bets of 25 nets exactly +700 to reach 1500. This maximizes the per-spin chance (8/38) of reaching the target while staying within the 200 total stake limit.

Needing +900 from 600 in 18 spins, one straight-up hit at 27 on each of two numbers nets +918 (34*27), so a single win reaches the target. Spreading small stakes across two numbers allows more spins to try for a hit.

Needing +954 from 546 is only realistic with a straight-up hit. A 28-chip straight pays 980, and a second 26-chip straight still leaves a net gain of at least 954 if either one hits, so I take two tries this spin while conserving bankroll for later spins.

Only a straight-up hit can reach 1500 from 492 in the spins left, so I cover 5 numbers at 33 each. After the other four lose, a single hit still lands at 1515 (492-132+1155), the most coverage that still reaches the target.

Reaching 1500 from 327 needs a +1173 gain, so only straight-up bets can do it; three straights at 36 each give a net +1188 on a hit, which reaches the target, while keeping chips for further tries.

Needing +1281 with 219 chips, only a straight-up hit can reach 1500; five straights at 37 each (185 total) each win enough to hit the target, giving 5/38 chance this spin.

Reaching 1,500 from 34 chips needs about a 44x gain, so only high-variance play can work. I put the full 34 on a single straight-up, which pays 35:1 and leaves about 1,224, with 12 spins left to close the gap.

Need +276 in 12 spins. Twelve straight-ups at 12 chips each stake 144 and net +288 if any hits (31.6% per spin), enough to reach 1500 in one hit while keeping bankroll to retry with adjusted sizing.

Only reaching 1500 counts, so I spread 17-chip straight-ups over 8 pockets. One hit nets +476, enough to reach the target, and the 136-chip cost per spin leaves room for later spins.

Need +556 in 10 spins, so I cover 9 straight-ups at 22 each (198 total); any hit nets +594 and reaches the target, giving the highest hit chance per spin that still reaches 1500.

Need +754 in 9 spins; outside bets cannot get there fast enough. Seven straight-ups at 28 each (196 total) net +812 on any hit, which reaches 1500, and give about 18.4% per spin.

Needing +950 in 8 spins, six straight-ups at 32 each (192 total) net +960 if any hits, reaching 1510 with about 15.8% chance this spin while leaving 358 chips for later tries.

Bankroll is already 1510, above the 1500 target, and skipping is not penalised. Every bet has negative expected value and could drop me below the target, so I skip.

Bankroll is already 1510, above the 1500 target, and skipping is not penalised. Every bet has negative expectation, so placing no bets keeps the target secured.

Bankroll is already 1510, above the 1500 target, and skipping is not penalised, so placing no bets and keeping the bankroll safe is the best way to finish at or above target.

Bankroll is already 1510, above the 1500 target, and skipping is not penalised, so placing no bets keeps the target secured through the remaining spins.

Bankroll is already 1510, above the 1500 target, and only reaching the target counts. Skipping spins is not penalised and carries no risk, so I place no bet.

Bankroll is already 1510, above the 1500 target, and only reaching the target counts. Skipping is allowed and unpenalised, so not betting keeps the target secured with no risk.

Bankroll is already 1510, above the 1500 target, and this is the final spin. Skipping keeps the target secured, since any meaningful bet only adds risk with no benefit.