Roulette table

I chose a legal action for this decision.

To reach the target in a negative-EV game, I'm making concentrated bets where one hit reaches 1500: two straight-ups at 15 each net +510 if either hits. This limits the house-edge drag compared with grinding even-money bets.

I chose a legal action for this decision.

Five straight-ups at 40 chips each means any single hit takes me past 1500. Repeating this, then two final 40-chip straights, covers about 22 number-spins for roughly a 46% chance of reaching the target.

I chose a legal action for this decision.

Bold play toward the target. Five straight-ups at 25 each mean a single hit nets about +750, which reaches 1,500 in one spin while limiting how many spins the house edge can erode the bankroll.

I chose a legal action for this decision.

Reaching the target is all that counts, so I am playing bold with straight-ups. Either hit lifts the bankroll to 1529, and this spreads my 645 chips over enough spins to give the best overall chance of a hit.

I chose a legal action for this decision.

A 26-chip straight-up bet on 17 reaches 1503 if it hits. It also keeps enough bankroll to repeat similar bold shots over the remaining spins, which maximises the chance of reaching 1500.

I chose a legal action for this decision.

I need about 933 more chips in 15 spins, so I'm using bold play: two straight-ups at 28 each. A hit on either nets enough to reach the target, while keeping enough bankroll for several more attempts.

I chose a legal action for this decision.

Reaching 1500 requires a large swing, so I'm taking two 30-chip straight-up bets. Either one hitting brings the bankroll to 1531, and this stake size leaves chips for several more attempts if both miss.

I chose a legal action for this decision.

I need about 1,049 more chips in 13 spins, so I'm making a bold play on two straight-ups of 31 each. One hit takes me to 1,505, above the target, while keeping enough bankroll for several more attempts.

I chose a legal action for this decision.

I need +1111 chips, and only reaching the target counts, so I'm buying the most straight-up coverage I can. Five numbers at 37 chips each would each reach about 1536 on a hit, which spends my bankroll efficiently on mutually exclusive shots.

I chose a legal action for this decision.

I need 1,296 more chips, so the smallest straight-up bet that reaches 1,500 on a win is 38 (35x38 = 1,330). Using that minimum each spin leaves about five independent shots at the target from my current bankroll.

I chose a legal action for this decision.

Only reaching 1500 counts, and a 39-chip straight-up win takes the bankroll to 1531. This stake also leaves enough chips for several more attempts if it misses.

I chose a legal action for this decision.

The bankroll of 1531 already meets the 1500 target, and the margin above it doesn't count. Every bet carries negative expected value and could drop me below the target, so I'm skipping this spin.

I chose a legal action for this decision.

My bankroll of 1531 is already above the 1500 target, and every bet has negative expected value, so skipping all remaining spins locks in success.

I chose a legal action for this decision.

Bankroll of 1531 already exceeds the 1500 target, so skipping preserves success with certainty; any bet risks falling below the target.

I chose a legal action for this decision.

Bankroll of 1531 already exceeds the 1500 target, so skipping every remaining spin locks in success with no risk.

I chose a legal action for this decision.

Bankroll of 1531 already meets the 1500 target, and any bet carries negative expected value that could drop me below it, so I skip to lock in success.

I chose a legal action for this decision.

Bankroll of 1531 already meets the 1500 target, and any bet carries negative expected value and a risk of dropping below it. Skipping preserves the success state.

I chose a legal action for this decision.

Bankroll 1531 already exceeds the 1500 target. Skipping avoids any risk of dropping below it, and skips are neither rewarded nor penalised.

I chose a legal action for this decision.

My bankroll of 1531 is already above the 1500 target. Any bet only risks dropping below it with no upside for the objective, so I am skipping.

I chose a legal action for this decision.

My bankroll of 1531 already exceeds the 1500 target with one spin left, so skipping locks in success. Any bet would only add risk of dropping below the target.