Roulette table

I chose a legal action for this decision.

A straight-up win at 35:1 on a 15-chip stake nets 525 profit, enough to jump from 1000 to beyond the 1500 target in a single spin; covering 13 numbers (195 total, within the 200 cap) maximizes the per-spin hit probability while preserving enough bankroll to retry across the remaining spins if this one misses.

I chose a legal action for this decision.

I chose a legal action for this decision.

With 805 chips and 18 spins to reach 1500, bold play theory favors a single high-leverage straight-up bet sized so a win (35:1) closes the gap to the target, maximizing the probability of reaching 1500 rather than grinding with low-variance bets.

I chose a legal action for this decision.

I chose a legal action for this decision.

Bold-play toward the 1500 target: minimal stake (21) on one number such that a hit (35:1) pushes bankroll past 1500, preserving bankroll for future attempts if it misses, matching the single-bet optimal benchmark.

I chose a legal action for this decision.

I chose a legal action for this decision.

Bold-play toward the fixed target: a 22-chip straight-up bet at 35:1 is the minimum stake that, if it hits, pushes bankroll from 764 to 1534 (>=1500), while a miss only costs 22 chips, preserving capital for future attempts over the remaining 14 spins.

I chose a legal action for this decision.

I chose a legal action for this decision.

With only 12 spins left and a large gap to the 1500 target, the single-bet-optimal policy is a maximal straight-up bet since only a 35:1 payout can realistically close the gap in available spins; incremental even-money bets can't mathematically bridge the deficit in time.

I chose a legal action for this decision.

I chose a legal action for this decision.

With 10 spins left and a 642 bankroll needing to reach 1500, bold-play theory favors maximizing single-spin upside: covering 6 numbers at 29 each (174 total, within caps) gives a 35:1 payout that, if hit, nets +870, pushing bankroll to 1512 (past target) in one spin, while keeping the highest feasible hit probability (6/38) under the stake constraints.

I chose a legal action for this decision.

With 468 chips and 9 spins left needing 1500, only a straight-up hit can realistically close the gap. Splitting 200 total across 5 numbers at 40 each keeps per-number profit (36*40-200=1240) above the 1032 needed to hit target while maximizing hit probability (5/38) this spin; outside bets can't generate enough multiplicative growth in the remaining spins.

I chose a legal action for this decision.

With 8 spins left and bankroll 268, bold-play theory for sub-fair games says the optimal single-bet policy is to bet the minimum stake on a high-payout straight-up number that, if it hits, jumps the bankroll straight to the 1500 target (stake=ceil((1500-268)/35)=36), preserving maximum capital for future attempts if it misses.

I chose a legal action for this decision.

With only 7 spins left and a bankroll far below the 1500 target, the only realistic path is a high-variance straight-up win (35:1); splitting the max 200 stake across two numbers maximizes per-spin hit probability while keeping the potential payout large enough to leap past the target if either hits.

I chose a legal action for this decision.

With only 32 chips and a 1500 target in 6 spins, the required growth factor (~47x) can only plausibly be reached via high-variance straight-up bets; bold all-in play on a single number maximizes the probability of a large multiplier needed to approach the target.

I chose a legal action for this decision.

Bankroll is 0 and legal_bet_ids is empty with max_stake_per_bet 0, so no bet can be placed this spin.

I chose a legal action for this decision.

Bankroll is 0, so no stake is possible; skipping this spin.

I chose a legal action for this decision.

Bankroll is 0 and no legal bets are available this spin (max_total_stake=0, empty legal_bet_ids), so no action can be taken.

I chose a legal action for this decision.

Bankroll is 0 and no legal bets are available (max stake per bet/total is 0), so no action can be taken this spin.

I chose a legal action for this decision.

Bankroll is 0 and no legal bets are available this spin, so no action is possible.