Roulette table

I chose a legal action for this decision.

A 15-chip straight-up bet wins 525 at 35:1, enough to reach the 1500 target in one hit. Repeating this, with the stake raised after losses, gives about a 41% chance of at least one hit over 20 spins, better than grinding even-money bets.

I chose a legal action for this decision.

I'm 515 chips short of the target with 19 spins left, so I'm placing two straight-ups of 16 each. A single hit nets +544 and reaches 1500, and the cost per spin is low enough to keep many attempts in reserve.

I chose a legal action for this decision.

I need +547 chips and only reaching the target counts, so I'm using high-variance straight-up bets. Four 18-chip straights mean any single hit lifts me to 1529 chips, with a 4/38 chance per spin at a modest 72-chip cost.

I chose a legal action for this decision.

I need 619 chips with a capped stake per spin, so I'm making high-variance straight-up bets. Seven numbers at 23 each would net 667 on a hit, which reaches 1,500 in a single spin.

I chose a legal action for this decision.

Reaching 1500 is all that counts, so I am spreading small straight-up bets across the remaining spins. Two numbers at 24 each lands at 1536 on a hit, which gives roughly a 55% chance of reaching the target over the session.

I chose a legal action for this decision.

I am going for bold play toward the target. If any of these six straight-ups hits, the payout of 36×28 minus 168 staked takes me to about 1512, and spreading across six numbers gives the best hit chance while keeping that requirement.

I chose a legal action for this decision.

Smallest straight-up stake (29) that reaches 1500 on a single hit (504+1015=1519). This keeps the bankroll alive for the most attempts across the remaining 14 spins.

I chose a legal action for this decision.

Each 31-chip straight bet pays enough on a hit to take the bankroll past 1500 in one spin (475-62+31+1085=1529). Splitting the bankroll into many target-sized straight bets gives the most chances to hit within the remaining spins.

I chose a legal action for this decision.

At 413 chips and needing 1500, bold play is the best route. Five straight-up bets of 36 each mean any single hit clears the target, giving a 5/38 chance this spin while keeping some chips for later attempts.

I chose a legal action for this decision.

With 233 chips and a target of 1500, I need to gain 1,267, which only a straight-up hit can reach. Two straights at 38 each is the most coverage per spin where a single hit still reaches the target, and it leaves enough bankroll for two more similar attempts.

I chose a legal action for this decision.

A 39-chip straight-up win reaches 1522, which clears the target in one hit. Using the minimum stake that does this leaves enough bankroll for about four such attempts across the remaining spins.

I chose a legal action for this decision.

A 40-chip straight-up bet is the smallest single bet that reaches 1,518 on a win, clearing the 1,500 target. It also keeps 78 chips for another full-target attempt if it misses.

I chose a legal action for this decision.

I need roughly 19x in 8 spins. Winning a dozen first would give me 234 chips, enough for about five straight-up shots that each reach the target, which beats going all-in on a single straight now (about 3.9% vs 2.6%).

I chose a legal action for this decision.

Bankroll is 0 and no bets are legal (max total stake 0), so the only valid action is no bet.

I chose a legal action for this decision.

Bankroll is 0 and no bet IDs are legal (max stake 0), so the only valid action is to place no bets.

I chose a legal action for this decision.

Bankroll is 0 and no bet IDs are legal (max total stake 0), so the only valid action is to place no bets.

I chose a legal action for this decision.

Bankroll is 0 and there are no legal bet IDs or stake capacity, so the only legal action is to place no bets.

I chose a legal action for this decision.

My bankroll is 0 and there are no legal bet IDs, so the only valid action is to place no bets.

I chose a legal action for this decision.

My bankroll is 0 and there are no legal bet IDs, so the only valid action is to place no bets.

I chose a legal action for this decision.

Bankroll is 0 and there are no legal bet IDs or stake capacity, so no bet can be placed; the target is unreachable.