Roulette table

Since only reaching 1500 counts, I'm taking high variance within the 200-per-spin cap. A dozen plus a column (overlapping on 4 numbers) gives a better rough chance of reaching +500 before busting than straight-up or even-money bets.

To reach 1500 we need +700, and 20 on one number pays exactly that. Small straight-up bets sized to hit the target give roughly a 40% chance over the remaining spins. That is well above the roughly 15% chance from grinding even-money bets.

Since only reaching 1,500 counts, I'm using small straight-up bets sized so that one hit gets there (780 - 44 + 792 = 1528). This spreads the bankroll over many spins instead of grinding even-money bets against the house edge.

Bold play toward the 1,500 target: two straight-up bets of 23 each. A hit nets +782, reaching the goal in one spin, while the cost stays small enough to allow many more attempts over the remaining spins.

Only reaching 1,500 counts, so I'm placing two straight-up bets sized so that a single hit clears the target (690 + 34×24 = 1,506). This budget stretches the bankroll across many of the remaining spins, which gives a better chance of reaching the target than low-variance betting.

A single 25-chip straight-up bet on 17 is the smallest stake that reaches 1517 if it hits. Keeping each stake just big enough to reach the target lets me repeat the bet across the remaining 15 spins, which gives roughly a 1 in 3 chance of reaching 1500 overall.

Two straight-up bets at 26 chips each take the bankroll to 1501 if either one hits, which reaches the target in a single win. This uses the remaining bankroll on as many target-reaching tries as it can afford over the 14 spins left.

I'm 935 short with 13 spins left, and the stake caps rule out bold even-money play. Two straight-up bets at 28 each are the smallest stakes where either hit lifts me to 1,517, which spreads my bankroll over as many single-number shots as possible.

A single straight-up hit of 29 pays 35×29 = 1,015 and lifts 509 to 1,524, clearing the 1,500 target. Sizing each bet to just reach the target on a hit spreads the bankroll over roughly 12 attempts, giving about a 27% chance of success.

Bold play toward the target: two straight-up bets of 30 each; a hit nets +1020 and reaches exactly 1500. This spreads the bankroll over about 8 attempts, giving better odds of reaching the target than one straight bet per spin.

Staking 42 on one straight each spin can run all 10 remaining spins, and any single hit lifts the bankroll to at least 1,500. That gives about a 23% chance of reaching the target, better than concentrating the stake into fewer spins.

Only reaching 1500 counts, so I am making the smallest straight-up bets that still hit the target if one lands: 378 - 66 + 36*33 = 1500. This stretches the bankroll over as many roughly 1/38 shots as possible, since outside bets can't close the gap in 9 spins.

Reaching 1500 from 312 in 8 spins realistically needs a single-number hit. Five straight-up bets of 39 give a 5/38 chance this spin, and any hit lands at 1521, above the target.

The bankroll of 1521 is already above the 1500 target, and only reaching the target counts. Skipping every remaining spin locks in success, while any bet adds risk for no benefit.

At 1521 chips I am already above the 1500 target, and every bet has negative expected value, so any wager only risks falling below it. Skipping all remaining spins locks in success.

My bankroll of 1521 is already above the 1500 target, and only the final result counts. Skipping removes any risk of dropping below it.

My bankroll of 1521 already meets the 1500 target, so I'm skipping this spin. Any bet has negative expected value and would only risk dropping below the target.

The bankroll is 1521, already above the 1500 target, and only reaching the target counts. Any bet has negative expected value and could drop me below the target, so I skip to lock in success.

At 1521 chips the bankroll is already above the 1500 target, and any bet has negative expected value and could drop it below. Skipping guarantees success.

The bankroll of 1521 is already above the 1500 target and this is the last spin. Any bet over 21 chips could drop me below the target, so skipping locks in success.