Roulette table

I chose a legal action for this decision.

Bold play suits a reach-target objective with negative-EV bets: ten 20-chip straight-ups use the full 200 per-spin cap and reach 1520 on a hit (about a 26% chance), while a miss still leaves room to adapt over later spins.

I chose a legal action for this decision.

Reaching 1500 needs +700, and the 200-chip cap per spin rules out bold even-money play. Three straight-up bets at 22 each pay about +726 on a hit, which reaches the target in one win, while losses stay small enough to allow many more attempts.

I chose a legal action for this decision.

Only reaching 1,500 counts, so I'm using high-payout straight-up bets. One hit at 23 chips each takes the bankroll to 1,516, and the total stake still leaves room to keep trying over the remaining 17 spins.

I chose a legal action for this decision.

I need +812 chips, and the per-bet and per-spin caps make grinding unlikely to get there. A single 100-chip straight-up gives about seven shots at a 35:1 hit that clears the target alone, roughly a 17% chance overall, which looks like the best route.

I chose a legal action for this decision.

I need +912 and can stake at most 200 a spin, so I'm playing boldly with six straight-ups at 33 each (198 total). Any one hit nets +990 and takes me past 1500, giving about a 15.8% chance per spin and roughly three attempts from this bankroll.

I chose a legal action for this decision.

A 32-chip straight-up win takes the bankroll from 390 to 1510, just past the target. Sizing each bet to the minimum needed to reach 1500 gives the most shots at a hit before the bankroll runs out.

I chose a legal action for this decision.

I need +1142 chips, so I'm betting the minimum straight-up stake that reaches 1500 on a single hit. This keeps enough bankroll for several more attempts in the remaining spins.

I chose a legal action for this decision.

I need +1175 chips in 13 spins, so I'm playing for the target, not the average. A 34-chip straight-up bet reaches 1500 if it hits and leaves enough bankroll for about 9 such attempts, roughly a 21% chance overall.

I chose a legal action for this decision.

Bankroll of 1515 already exceeds the 1500 target, and every bet has negative expected value, so skipping preserves the success.

I chose a legal action for this decision.

Bankroll of 1515 already exceeds the 1500 target, and any bet has negative expectation and risks dropping below it, so skipping preserves success.

I chose a legal action for this decision.

Bankroll of 1515 is already above the 1500 target, and every bet has negative expected value, so skipping preserves success.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target, so skipping keeps it safe. Any bet has negative expected value and could drop me below the target.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target, and only reaching the target counts. Skipping is allowed, so I sit out to lock in success with no risk.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target, so skipping preserves success; any bet only risks falling below the target.

I chose a legal action for this decision.

Bankroll 1515 already exceeds the 1500 target, so any bet only risks dropping below it; skipping preserves success.

I chose a legal action for this decision.

My bankroll of 1515 already meets the 1500 target, and only finishing at or above the target counts. Any bet has negative expected value and risks dropping me below, so skipping is optimal.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target, so skipping preserves success; any negative-EV bet only risks dropping below the target.

I chose a legal action for this decision.

My bankroll of 1515 is already above the 1500 target, and only reaching the target counts. Skipping is allowed and carries no penalty, so I bet nothing to avoid any risk of dropping below the target.

I chose a legal action for this decision.

My bankroll of 1515 already exceeds the 1500 target, so skipping both remaining spins locks in success. Any bet would only add risk.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target with one spin left, so skipping guarantees success; any bet could only drop me below the target.