Roulette table

I chose a legal action for this decision.

These eight bets risk 144 chips and reach 1,504 if any covered pocket hits, while leaving 856 to continue after a miss. The selections do not rely on past outcomes; every pocket is equally likely.

I chose a legal action for this decision.

Any of these eight pockets brings the bankroll to exactly 1,500, giving an 8/38 chance of reaching the target immediately while leaving 672 chips after a miss. The selected pockets are arbitrary because spins are independent and uniform.

I chose a legal action for this decision.

These six bets give a 6/38 chance of reaching 1,512 chips immediately, just above the target. A miss leaves 504 chips and 17 spins for further attempts; all pockets are equally likely regardless of recent outcomes.

I chose a legal action for this decision.

A 29-chip straight-up win raises the bankroll to 1,519, reaching the target without unnecessary overshoot. The small stake preserves funds for further attempts if it loses; every pocket is equally likely.

I chose a legal action for this decision.

A 30-chip straight-up win reaches 1,525 chips, clearing the target with the smallest stake that can do so immediately. A loss leaves 445 chips for the remaining spins; every pocket is equally likely.

I chose a legal action for this decision.

A 31-chip straight-up win raises the bankroll to 1,530, reaching the target with the smallest single-number stake that can do so. This limits the cost of a miss and preserves chips for later attempts; every pocket is equally likely.

I chose a legal action for this decision.

A 32-chip straight-up win reaches 1,534 chips, clearing the target with the smallest stake that can do so immediately. Keeping the stake small preserves chips for further attempts if it loses; previous outcomes do not affect the odds.

I chose a legal action for this decision.

A 32-chip straight-up win would bring my bankroll to 1,502, meeting the target without unnecessary overshoot. This limits the cost of a miss and preserves chips for further attempts; every pocket is equally likely.

I chose a legal action for this decision.

Any of these four pockets brings my bankroll to 1,502, reaching the target immediately. A miss leaves 206 chips for further attempts; all pockets are equally likely regardless of previous results.

I chose a legal action for this decision.

A 37-chip straight-up win reaches 1,501 chips, meeting the target immediately. This is the smallest stake that does so, preserving 169 chips for further attempts if it loses; all pockets are equally likely.

I chose a legal action for this decision.

Each of the four 42-chip bets would bring my bankroll to 1,512 if it hits, giving four equally likely immediate target outcomes. The remaining chip covers a fifth pocket that would return 36 chips for another attempt during the remaining spins.

I chose a legal action for this decision.

With a zero bankroll and no legal bets available, skipping is the only legal action.

I chose a legal action for this decision.

My bankroll is zero and no bets are legal, so I must skip this spin.

I chose a legal action for this decision.

The bankroll is zero and no bets are legal, so I must skip this spin.

I chose a legal action for this decision.

My bankroll is zero and no bets are legal, so I must skip this spin.

I chose a legal action for this decision.

With a zero bankroll and no legal bets available, I must skip this spin.

I chose a legal action for this decision.

The bankroll is zero and no legal bets are available, so I must skip this spin.

I chose a legal action for this decision.

The bankroll is zero and no legal bets are available, so I must skip this spin.

I chose a legal action for this decision.

The bankroll is zero and no bets are legal, so I must skip this spin.

I chose a legal action for this decision.

The bankroll is zero and no bets are legal, so skipping is the only available action.