Roulette table

I chose a legal action for this decision.

A 50-chip straight-up bet can reach the target on any hit while preserving enough bankroll to play all 20 spins if it misses. The wheel is independent, so no number is more likely than another.

I chose a legal action for this decision.

A 50-chip straight-up win nets 1,750 chips, enough to reach the target, while the stake allows up to 19 attempts without a win. Roulette outcomes are independent, so prior results do not affect the number choice.

I chose a legal action for this decision.

An 18-chip straight-up win nets 630 chips, enough to reach the 1,500 target; keeping the stake minimal preserves bankroll for repeated independent chances.

I chose a legal action for this decision.

An 18-chip straight-up win nets 630 chips, enough to reach the 1,500-chip target. A single number preserves bankroll for the remaining spins if it misses.

I chose a legal action for this decision.

Three straight-up bets cover three pockets, and a hit at 20 chips each would put my bankroll above the target. The spins are independent, so past results do not favor any pocket.

I chose a legal action for this decision.

A 100-chip straight-up win would raise the bankroll above the 1,500-chip target immediately; no pocket is more likely under the uniform spin distribution.

I chose a legal action for this decision.

A 23-chip straight-up win nets 805 chips, enough to reach the 1,500-chip target from this bankroll. The smaller qualifying stake preserves more chips for later attempts if it misses.

I chose a legal action for this decision.

A 100-chip straight-up wager offers the needed upside to reach the target in one hit; each pocket is equally likely on this independent wheel.

I chose a legal action for this decision.

A 27-chip straight-up win nets 945 chips, taking my 581-chip bankroll above the 1,500 target. Roulette outcomes are independent, so recent results do not give a number an advantage.

I chose a legal action for this decision.

A 100-chip straight-up bet gives a chance to reach the target in one hit while preserving bankroll for more attempts if it misses. Past outcomes do not affect the independent wheel odds.

I chose a legal action for this decision.

With 10 spins left and a large gap to the target, a maximum-stake straight-up bet offers the best chance of a sufficiently large win; past outcomes do not affect the independent spin odds.

I chose a legal action for this decision.

Two distinct straight-up bets give a 2-in-38 chance to reach the target while preserving most of my bankroll if they miss. A 34-chip hit returns enough to put my bankroll above 1,500.

I chose a legal action for this decision.

With 8 spins left and 1,214 chips needed, a straight-up hit is the only practical way to reach the target in one spin. Two maximum-stake numbers give the best chance of hitting while still clearing the target; past outcomes do not predict the next spin.

I chose a legal action for this decision.

With only 86 chips and seven spins left, two max-value straight-up bets give two outcomes that can reach the target in one hit; roulette outcomes are independent, so I use both zero pockets.

I chose a legal action for this decision.

My bankroll is 0 and the legal limits allow no stake, so I cannot place a bet.

I chose a legal action for this decision.

No bet is legal: bankroll is 0 and the current maximum stake is 0.

I chose a legal action for this decision.

No bet is legal: the bankroll is 0, and the observation lists no legal bet IDs or available stake.

I chose a legal action for this decision.

No bet is legal: my bankroll is 0 and the observation sets the maximum stake to 0.

I chose a legal action for this decision.

I have no bankroll and no legal bet IDs, so I cannot place a bet.

I chose a legal action for this decision.

No bet is legal: the bankroll is 0 and the observation sets the maximum stake to 0.