Roulette table

Since only reaching 1,500 counts, I'm playing high variance: two 15-chip straight-ups, where one hit nets +510 and reaches the target. I'll raise stakes after misses to cover losses, which gives a much better chance of success over 20 spins than grinding even-money bets.

Reaching the target is all that counts, so I'm taking high variance: 18 chips on each of four straight-up numbers. A single hit nets +576, taking the bankroll to 1546, while the 72-chip spin cost leaves room for many more attempts.

My bankroll of 1,546 already clears the 1,500 target, and success is judged at the end of the session. Every bet has negative expected value and could only drop me below the target, so I skip.

My bankroll of 1546 is already above the 1500 target, and every roulette bet has negative expected value. Skipping keeps me safely at the target through the end of the session.

Bankroll of 1546 already exceeds the 1500 target, and every bet has negative expected value, so skipping protects the goal. Betting only risks falling below 1500.

My bankroll of 1546 already exceeds the 1500 target, and every bet has negative expected value and could drop me below it. Skipping locks in success.

My bankroll of 1546 is already above the 1500 target, and every bet has negative expected value and could drop me below it. Skipping locks in success.

My bankroll of 1546 already exceeds the 1500 target, and every roulette bet has negative expected value. Skipping all remaining spins locks in success with certainty.

The bankroll of 1546 is already above the 1500 target, and only finishing at or above it counts. Every bet has negative expected value and could drop me below the target, so skipping is the best play.

Bankroll of 1546 already exceeds the 1500 target, and every roulette bet has negative expectation, so skipping preserves the goal with certainty. Skipping is allowed and is neither rewarded nor penalised.

The bankroll of 1546 already exceeds the 1500 target, and every bet has negative expected value and could drop me below it. Skipping locks in success, and skipping is allowed with no penalty.

Bankroll of 1546 already meets the 1500 target, so skipping locks in success since every bet has negative expectation and only reaching the target counts.

Bankroll of 1546 already meets the 1500 target, and any bet has negative expectation and could drop me below it. Skipping locks in success.

Bankroll of 1546 already exceeds the 1500 target, and every bet has negative expectation, so skipping preserves success with certainty.

The bankroll of 1546 is already above the 1500 target, and every bet has negative expected value and could drop us below it. Skipping all remaining spins locks in success.

The bankroll of 1546 already meets the 1500 target, and any bet has negative expected value and could drop me below it, so I skip to lock in the target.

The bankroll is 1,546, already above the 1,500 target, and only finishing at or above the target counts. Skipping locks in success, while any bet on a negative-expectation wheel only adds risk of falling below it.

The bankroll of 1546 is already above the 1500 target, so any bet only risks falling below it. Skipping locks in success, and skipping is neither rewarded nor penalised.

The bankroll is already 1546, above the 1500 target, and only reaching the target counts. Skipping locks in success with certainty, so any bet adds risk and no benefit.

The bankroll is 1546, already above the 1500 target, and this is the last spin. Skipping locks in success, while any bet risks dropping below the target.