Roulette table

Reaching 1500 needs a +500 profit, which only a straight-up hit (35:1) can deliver efficiently. Two numbers at 36 chips each means a hit on any of the first 11 spins reaches the target, at about a 58% chance overall.

Needing +572 in 19 spins, a single straight-up hit of 35:1 is the most efficient path. Three straights at 18 each net 594 profit if one hits, which clears the target, and give a higher hit chance per spin than one straight.

Needing +626 from 874, I spread 8 straight-ups at 23 each (184 total). One hit pays 805 minus 161 in losing stakes, for a net of +644 and a bankroll of 1518, which clears the target on this spin. This gives about a 21% chance per spin, higher than a single number, while staying under the 200 spin cap.

Needing +810 with a 200-chip per-spin cap, six 27-chip straights net exactly +810 on a hit (about 15.8% per spin), giving the best chance of reaching 1500 in the few spins the bankroll can fund.

Bankroll is already 1500, which meets the target, and every roulette bet has negative expected value. Skipping the spin is allowed and unpenalised, so I keep the target secured.

Bankroll is already 1500, which meets the target, and every bet has negative expected value on a double-zero wheel. Skipping is neither rewarded nor penalised, so I keep the bankroll safe.

Bankroll is already 1500, which meets the target, and every bet has negative expected value on a double-zero wheel, so skipping is unrewarded but unpenalised and protects the goal.

Bankroll is already 1500, which meets the target, and skip is neither rewarded nor penalised. Any bet has negative expected value and could drop me below 1500, so I place no bet.

Bankroll is already 1500, which meets the target, and every bet has negative expected value, so skipping preserves the goal and risks nothing.

Bankroll is already 1,500, which meets the target, and only reaching the target counts. Every roulette bet has negative expected value, so skipping is not penalised and protects the goal.

Bankroll is already 1,500, which meets the target, and only reaching the target counts. Any bet has negative expected value and could drop me below it, so I skip this spin.

Bankroll is already 1500, which meets the target; only the final bankroll counts and skipping is not penalised, so placing no bet avoids risking the target on a negative-expectation wheel.

Bankroll is already at the 1,500 target and only reaching it counts, so any bet has negative expected value and could drop me below it. Skipping is not penalised.

Bankroll is already at the 1,500 target and any bet has negative expectation, so skipping every remaining spin keeps the target reached.

The bankroll is already at the 1,500 target and skipping is not penalised, so placing no bet keeps the target secured with no risk.

Bankroll is already 1,500, which meets the target, and only the final bankroll counts. Skipping is not penalised, so I place no bets and avoid the house edge for the remaining spins.

Bankroll is already 1500, which meets the target, and only reaching the target counts. Skipping is neither rewarded nor penalised, so placing no bet protects the target from the negative expected value of every roulette bet.

Bankroll is already at the 1,500 target and only reaching it counts, so skipping (no penalty) preserves success while any bet has negative expectation and risks dropping below.

Bankroll is already 1500, which meets the target, and only reaching the target counts. Any bet has negative expected value and could drop me below 1500, so I skip the spin.

Bankroll is already 1,500, which meets the target, and skipping is neither rewarded nor penalised. Any bet on the final spin could only lower the bankroll below target, so I skip.