Roulette table

I chose a legal action for this decision.

Target needs +500 within 20 spins; two straight-up numbers at 15 each nets +510 on a hit (reaching 1500) while costing only 30 per miss, letting me repeat this efficiently for ~19 spins (≈64% chance of at least one hit), which beats both even-money grinding and expensive wide coverage.

I chose a legal action for this decision.

Need +530 with 19 spins; even-money grinding at 100/spin is a long shot, so I spread small straight-up stakes sized so any single hit (3 numbers at 17 → +561 net) clears the 1500 target while keeping enough bankroll to repeat for ~11 spins, giving roughly 60% success.

I chose a legal action for this decision.

Need +581 with 18 spins left; two straight-up bets of 18 each net +612 on a hit (clears 1500) while keeping per-spin drain small enough to sustain ~16 spins, giving roughly a 58% chance of at least one hit versus far worse odds grinding even-money bets.

I chose a legal action for this decision.

Need +617 with 17 spins left; a single straight-up hit at 19 chips (net +646 after the other losing number) clears 1500, and two numbers per spin spreads ~30 affordable number-shots across the remaining spins for roughly 55% success.

I chose a legal action for this decision.

Need +655 in 16 spins; even-money bets can't realistically get there, so I bet straight-up with stakes sized so a single hit (34x20=680 net) clears 1500 while spreading the bankroll across nearly all remaining spins to maximize cumulative hit probability (~53%).

I chose a legal action for this decision.

Need +695 to reach 1500; 8 straight-ups at 25 (200 total) yields a net +700 on any hit (36*25-200), reaching 1505 in one spin with ~21% chance, which beats grinding even-money bets under the house edge and leaves fallback spins if it misses.

I chose a legal action for this decision.

At 605 with 14 spins left, even-money bets can't realistically reach 1500; betting 43 on a single number each spin lets one hit (36x) clear the target no matter when it comes, giving ~31% success vs far lower for outside bets.

I chose a legal action for this decision.

Need +938 with 13 spins and a 200 cap, so even-money grinding is near hopeless; 33 on each of 6 numbers is the minimum stake per number that still clears 1500 on a hit (33*35-165=+990), maximizing coverage (6/38) while keeping every hit a success.

I chose a legal action for this decision.

Bankroll of 1552 already exceeds the 1500 target and only finishing at or above the target counts, so any further wager only adds downside risk; skipping is the optimal action.

I chose a legal action for this decision.

Bankroll of 1552 already exceeds the 1500 target and only finishing above it matters; skipping is allowed and avoids any risk of dropping below the threshold.

I chose a legal action for this decision.

Bankroll is 1552, already above the 1,500 target with 10 spins left; since only reaching the target counts and skipping is allowed, the optimal policy is to stop betting and lock in the result.

I chose a legal action for this decision.

Bankroll is 1552, already above the 1500 target; the objective only counts reaching the target, so skipping (allowed and unpenalised) locks in success with zero variance.

I chose a legal action for this decision.

Bankroll of 1552 already exceeds the 1500 target and only finishing above the target matters, so skipping all remaining spins locks in success with zero risk.

I chose a legal action for this decision.

Bankroll of 1552 already exceeds the 1500 target and only finishing above it counts, so any bet adds risk with no benefit; skipping locks in success.

I chose a legal action for this decision.

Bankroll of 1552 already exceeds the 1500 target and only reaching it counts, so any bet adds downside risk with no upside; skipping locks in success.

I chose a legal action for this decision.

Bankroll of 1,552 already exceeds the 1,500 target and only reaching the target counts, so the optimal policy is to skip all remaining spins to lock in success.

I chose a legal action for this decision.

Bankroll of 1552 already exceeds the 1500 target with 4 spins left; any bet only risks dropping below it, so skipping is optimal.

I chose a legal action for this decision.

Bankroll 1552 already exceeds the 1500 target with 3 spins left; any bet only risks dropping below the threshold, so skipping is optimal.

I chose a legal action for this decision.

Bankroll 1552 already exceeds the 1500 target with 2 spins left; any bet only risks dropping below the threshold, so skipping (no bet) locks in success.

I chose a legal action for this decision.

Bankroll of 1552 already exceeds the 1500 target with one spin left; any bet risks dropping below target while adding nothing, so skipping (allowed, not penalised) is optimal.