Roulette table

I chose a legal action for this decision.

Covering ten pockets gives a 10/38 chance of reaching 1,520 chips immediately, while a miss leaves 800 chips for further attempts. The numbers are arbitrary because spins are independent and uniform.

I chose a legal action for this decision.

A 20-chip straight-up win adds 700 chips, reaching the 1,500-chip target exactly while preserving most of the bankroll after a loss. Every pocket is equally likely; previous outcomes do not affect this spin.

I chose a legal action for this decision.

Covering seven pockets gives a 7/38 chance of immediately reaching 1,505 chips, while a miss leaves 605 chips for the remaining spins. These pockets are equally likely; past outcomes do not influence this choice.

I chose a legal action for this decision.

Covering six pockets gives a 6-in-38 chance of reaching 1,505 chips immediately, with no benefit from aiming higher. A miss leaves 425 chips for further attempts; past outcomes do not affect these probabilities.

I chose a legal action for this decision.

A 31-chip straight-up win would raise my bankroll to 1,510, reaching the target without much overshoot, while a loss leaves 394 chips for further attempts. Every pocket is equally likely, so past outcomes do not influence this choice.

I chose a legal action for this decision.

A 32-chip straight-up win would raise my bankroll to 1,514, meeting the target with the smallest stake that can do so in one spin. Keeping the remaining chips preserves further chances if this bet loses; every pocket is equally likely.

I chose a legal action for this decision.

A 33-chip straight-up win would raise my bankroll to 1,517, meeting the target immediately while preserving 329 chips if it loses. All pockets are equally likely; previous outcomes do not affect this choice.

I chose a legal action for this decision.

A hit raises the bankroll to 1,519, reaching the target with the smallest straight-up stake that can do so immediately. Every pocket is equally likely; previous outcomes do not affect this choice.

I chose a legal action for this decision.

Any of these five pockets brings my bankroll to 1,504, reaching the target with probability 5/38 this spin. A miss leaves 100 chips for another attempt; previous results do not affect the odds.

I chose a legal action for this decision.

A 40-chip straight-up win reaches exactly 1,500 chips, while a loss preserves 60 chips for further attempts. All pockets are equally likely, so previous outcomes do not affect this choice.

I chose a legal action for this decision.

A hit takes my bankroll to 1,530, immediately meeting the target, while a miss leaves 18 chips for the remaining spins. Every pocket is equally likely; past outcomes do not affect this choice.

I chose a legal action for this decision.

With only 18 chips and nine spins left, a straight-up win would raise the bankroll to 648 and give a meaningful chance to pursue 1,500. Every pocket is equally likely; choosing zero does not depend on past outcomes.

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 bet IDs are legal, so placing no bets is the only legal choice.

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 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. The target cannot be reached with the available actions.

I chose a legal action for this decision.

With a zero bankroll and no legal bet IDs, no wager is possible. I must skip this spin.

I chose a legal action for this decision.

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