Roulette table

I chose a legal action for this decision.

A maximum straight-up stake gives the high-variance chance of clearing the 500-chip target with a single hit; past outcomes do not affect the independent spins.

I chose a legal action for this decision.

A straight-up hit with 18 chips earns enough to reach the 1,500-chip target from my current 900, while repeated small attempts preserve chances across the remaining spins.

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; this minimizes the stake while giving the same hit probability as any other straight-up number.

I chose a legal action for this decision.

A 19-chip straight-up win would cross the 1,500-chip target from this bankroll. Using the smallest qualifying stake preserves chips for future attempts, and every pocket is equally likely.

I chose a legal action for this decision.

A 100-chip straight-up bet offers the variance needed to reach the target quickly; no pocket is more likely than another on an independent uniform spin.

I chose a legal action for this decision.

A 22-chip straight-up win would raise the 745-chip bankroll above the 1,500 target, while risking only the minimum needed for that outcome and preserving funds for later spins.

I chose a legal action for this decision.

A 23-chip straight-up win yields 805 chips in profit, enough to reach the target from my current bankroll, while keeping the cost of a miss low so I can try again.

I chose a legal action for this decision.

I need a large gain to reach the target, so a 100-chip straight-up bet offers the best chance for one spin to close the gap; past outcomes do not affect the independent wheel odds.

I chose a legal action for this decision.

A 26-chip straight-up win would add 910 chips and put me above the 1,500-chip target. Keeping the stake to the minimum needed preserves more bankroll for the remaining spins if it misses.

I chose a legal action for this decision.

A 100-chip straight-up hit would clear the target in one spin; roulette outcomes are independent, so the recent history offers no useful prediction.

I chose a legal action for this decision.

With 474 chips and 10 spins left, three straight-up bets of 32 each give enough net winnings on any hit to reach 1,500. This covers three pockets while keeping the total stake within limits; past outcomes do not predict the next spin.

I chose a legal action for this decision.

A 33-chip straight-up win pays enough to reach the target from my current bankroll, while keeping the loss small so I can make more attempts.

I chose a legal action for this decision.

With eight spins left, reaching 1,500 requires a large win; a 100-chip straight-up bet can clear the target on a hit. Outcomes are independent and uniform, so past results do not favor any pocket.

I chose a legal action for this decision.

With only 245 chips and seven spins left, a maximum-stake straight-up bet offers the best chance of reaching the 1,500-chip target in one hit; past outcomes do not predict the next spin.

I chose a legal action for this decision.

Three distinct straight-up bets maximize the chance of reaching the target this spin; any hit raises the bankroll above 1,500. Roulette outcomes are independent, so recent results do not inform the choice.

I chose a legal action for this decision.

With only 19 chips and five spins remaining, a straight-up hit offers the only plausible path to build enough bankroll for a later target-reaching wager. Roulette outcomes are independent, so the recent history does not change the odds.

I chose a legal action for this decision.

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

I chose a legal action for this decision.

The legal limits allow no stake, and my bankroll is already zero, so no bet is available.

I chose a legal action for this decision.

My bankroll is 0 and the legal maximum stake is 0, so I cannot place a bet.

I chose a legal action for this decision.

No chips remain and the legal betting limits are zero, so I cannot place a bet.