Roulette table

I chose a legal action for this decision.

Ten straight-ups at 20 chips each net +520 on a hit, reaching 1,500 at once with about a 26% chance. This is the bold-play approach, and it gives a much better chance of hitting the target than grinding even-money bets against the house edge.

I chose a legal action for this decision.

Every bet carries the same house edge, so bold play is best. Eight straight-ups at 25 chips each win 700 net on a hit, landing exactly on the 1500 target with a 21% chance this spin, while risking the full 200-chip spin limit.

I chose a legal action for this decision.

A straight-up bet of 26 chips nets 910 if it hits, which takes the bankroll from 600 to 1510 and clears the target. Making the smallest single-number bet that can reach 1500 gives the most attempts over the remaining 18 spins, which should give the best chance of reaching the target.

I chose a legal action for this decision.

A single straight-up bet of 27 wins 945, which takes the bankroll to 1519 and clears the target. Repeating minimal-sized straights over the remaining spins should give the best chance of reaching 1500, though the house edge means each bet still loses chips on average.

I chose a legal action for this decision.

A 28-chip straight-up bet is the smallest stake whose 35:1 win reaches the 1500 target from 547 (547 + 980 = 1527). Raising the stake slightly after each loss can stretch this over all 16 remaining spins for about a 35% chance to hit.

I chose a legal action for this decision.

A 29-chip straight-up bet that wins would take the bankroll to 1534 in one hit. Repeating this kind of bet over the remaining spins gives roughly a one-in-three chance of reaching the target, better than slower outside-bet strategies under the 200-chip stake cap.

I chose a legal action for this decision.

Bold play toward the target: two straight-up bets of 30 each net +1020 on a hit, reaching 1510, while keeping enough bankroll for several more attempts.

I chose a legal action for this decision.

I need +1070 chips in 13 spins, so I'm using bold play: the smallest straight-up stake whose 35:1 payout reaches 1500 (31 chips). This lets the bankroll fund roughly one attempt per remaining spin.

I chose a legal action for this decision.

My bankroll of 1515 is already above the 1500 target, and every roulette bet has negative expected value. Skipping the remaining spins locks in success.

I chose a legal action for this decision.

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

I chose a legal action for this decision.

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

I chose a legal action for this decision.

My bankroll of 1515 already exceeds the 1500 target and any bet has negative expectation, so skipping keeps the target secured.

I chose a legal action for this decision.

My bankroll of 1515 already meets the 1500 target, and any bet has negative expected value and could drop me below it, so skipping protects the result.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target, so any bet only risks dropping below it. Skipping every remaining spin locks in success.

I chose a legal action for this decision.

Bankroll of 1515 already meets the 1500 target, so I am skipping all bets to protect it from the negative-expectation wheel; skipping is allowed and not penalised.

I chose a legal action for this decision.

Bankroll 1515 is already above the 1500 target, so I am skipping to preserve it, since skipping is allowed and any bet only risks dropping below the target.

I chose a legal action for this decision.

Bankroll of 1515 already meets the 1500 target, and only reaching it counts, so skipping avoids any risk of dropping below it.

I chose a legal action for this decision.

My bankroll of 1515 is already above the 1500 target, and the margin earns nothing extra. Skipping keeps me there, while any bet risks dropping below it.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target, so skipping preserves success; any bet risks dropping below the target for no benefit.

I chose a legal action for this decision.

Bankroll is 1515, already above the 1500 target with one spin left, so skipping locks in success with no risk of falling below.