Roulette table

I chose a legal action for this decision.

Reaching 1,500 from 1,000 rewards bold play near the 200 per-spin cap, and every bet here carries the same house edge. Correlated even-money bets on red and even give about plus or minus 200 swings, a rough 50% path to the target in 20 spins.

I chose a legal action for this decision.

I need +300 within 19 spins, so I'm using the full 200 exposure on two overlapping 2:1 bets for high variance. If both hit I gain 400 and reach the target in one spin; if one hits I gain 100.

I chose a legal action for this decision.

Bold play toward the +500 target: a hit on any of three straights nets 594 chips (33 x 18) and clears 1,500 in one spin, while keeping losses small enough to retry over many spins.

I chose a legal action for this decision.

I need +554 to reach the target, so I'm placing 20 chips on each of six straight-up numbers. Any hit nets +600 and clears the target, a 6/38 chance per spin, while the remaining bankroll still covers escalating bets if this spin misses.

I chose a legal action for this decision.

My bankroll of 1546 is already above the 1500 target, and every bet has negative expected value. Skipping this spin keeps the target secured.

I chose a legal action for this decision.

Bankroll of 1546 already exceeds the 1500 target, and any bet carries negative expected value and risks dropping below it, so skipping preserves success.

I chose a legal action for this decision.

Bankroll of 1546 already exceeds the 1500 target, and every bet has negative expected value, so skipping preserves the success state.

I chose a legal action for this decision.

My bankroll of 1546 is already above the 1500 target, and every bet has negative expected value. Skipping keeps the target secured with certainty.

I chose a legal action for this decision.

My bankroll of 1546 is already above the 1500 target, and every bet on this wheel has negative expected value. Skipping the remaining spins locks in success.

I chose a legal action for this decision.

My bankroll of 1546 is already above the 1500 target, and only finishing at or above the target counts. Skipping is allowed and avoids any risk of falling below it.

I chose a legal action for this decision.

My bankroll of 1546 is already above the 1500 target, and every bet has negative expected value. Skipping protects the goal, so I place no bet.

I chose a legal action for this decision.

Bankroll of 1546 already meets the 1500 target, and every bet has negative expected value, so skipping preserves the success state.

I chose a legal action for this decision.

My bankroll of 1546 is already above the 1500 target, and every roulette bet has negative expectation. Skipping locks in success, while any bet could only risk dropping below the target.

I chose a legal action for this decision.

My bankroll of 1546 already exceeds the 1500 target, and every bet has negative expected value, so I'm skipping to lock in the finish.

I chose a legal action for this decision.

Bankroll of 1546 already exceeds the 1500 target, so skipping every remaining spin locks in success; any bet carries negative EV and only risks falling below the target.

I chose a legal action for this decision.

Bankroll 1546 already exceeds the 1500 target, and every bet has negative expected value, so skipping preserves the success state.

I chose a legal action for this decision.

Bankroll of 1546 already exceeds the 1500 target; any bet carries negative expectation and risks dropping below the target, so skipping preserves success.

I chose a legal action for this decision.

My bankroll of 1546 already meets the 1500 target, and any bet risks dropping below it. Skipping the remaining spins locks in success.

I chose a legal action for this decision.

My bankroll of 1546 is already above the 1500 target, and only reaching the target counts. Skipping keeps it there with certainty.

I chose a legal action for this decision.

I'm already at 1546, above the 1500 target, and only reaching the target counts. Skipping the final spin locks in success with no risk.