Roulette table

We need +500 within 20 spins under the 200-per-spin cap, so this play is aggressive but bounded. A dozen and a column at the 100 max each pay +400 on the four overlap numbers and +100 on a single hit.

Bold play suits a target objective with negative-EV bets. A 20-chip straight-up bet wins exactly the 700 needed to reach 1500, keeps losses small, and preserves many more attempts.

Only reaching 1500 counts, so I'm spreading small straight-up bets across spins. If any of these four numbers hits, it pays enough (23×32=736 net) to reach the target, while the low cost per spin leaves room for many more tries.

Bold play suits a sub-fair target game: seven straight-ups at 28 each (196 total) means any single hit lifts the bankroll from 688 to exactly 1500. That gives about an 18% chance per spin and roughly a 46% chance across the three spins the bankroll can fund.

Reaching 1500 needs about +1008 chips. A 29-chip straight-up bet takes the bankroll to about 1507 if it hits, and repeating this sizing gives roughly 16 tries, which is about a 35% chance of hitting the target. That beats the roughly 10% from even-money grinding or from 100-chip straight-up bets.

A 30-chip straight-up bet that hits pays 1050, which takes the bankroll from 463 to 1513 and clears the target in one win. Sizing each bet to just reach 1500 on a hit stretches the bankroll over as many attempts as possible across the remaining spins.

A single 31-chip straight-up bet is the smallest stake whose win alone lifts the bankroll to at least 1500. This keeps enough chips for the most remaining straight-up attempts and gives the best chance of reaching the target.

A single straight-up bet of 32 chips reaches the target on a hit (370 + 1152 = 1522). Staking only the minimum needed each spin keeps about 10 more tries in reserve across the remaining spins.

I need +1130 chips, so I'm making a bold straight-up play: two numbers at 34 chips each. A single hit nets +1156 and reaches 1,500, and losing still leaves enough bankroll for several more tries.

I need 1198 more chips with 11 spins left, so I'm using bold play. A 35-chip straight-up bet reaches 1527 if it hits and keeps enough bankroll for about seven such attempts, which maximises my chance of hitting the target.

A single 36-chip straight-up bet reaches the target if it hits (267 + 35×36 = 1527). Keeping the stake that small leaves enough bankroll for about six more such attempts in the remaining spins, which gives a better overall chance of reaching 1500 than spreading chips across numbers on one spin.

I need +1269 in 9 spins from 231 chips. A 37-chip straight-up bet reaches the 1500 target on a single hit, and spreading bets this way gives about five shots at roughly 13% overall, which is about the best a 231-chip bankroll allows.

Bankroll of 1526 already exceeds the 1500 target, and every bet has negative expectation, so skipping all remaining spins locks in success.

My bankroll of 1526 is already above the 1500 target, and every bet has negative expected value. Skipping all remaining spins locks in success.

The bankroll is 1526, already above the 1500 target, so any bet would only risk dropping below it. Skipping every remaining spin locks in success.

My bankroll of 1526 is already above the 1500 target, and only reaching the target counts. Skipping avoids any risk of falling back below it.

My bankroll of 1526 is already above the 1500 target, and only the final total counts. Any bet would only add risk of falling below it, so I skip this spin.

My bankroll of 1526 is already above the 1500 target, and any bet carries negative expected value and the risk of dropping below it. Skipping locks in success.

My bankroll of 1526 is already above the 1500 target, and only reaching the target counts. Skipping removes any risk of dropping below it in the last two spins.

The bankroll of 1526 is already above the 1500 target with one spin left, so skipping keeps success certain. Any bet over 26 chips could drop me below the target.