Roulette table

I chose a legal action for this decision.

A single spin on ten straight-up numbers at 20 each (200 total) wins 520 net on any hit, reaching 1500 immediately, with about a 26% chance per spin, and I can re-size the spread from the reduced bankroll if it misses.

I chose a legal action for this decision.

A 20-chip straight-up bet on 17 pays 700, exactly the gain needed from 800 to 1500, and it keeps losses small per miss, which suits a 19-spin reach-target objective better than even-money or dozen progressions.

I chose a legal action for this decision.

Only reaching 1500 counts, so I need a high-variance bet: a 21-chip straight-up pays 735 and takes me from 780 to 1515 if it hits, and the stake is small enough to survive many misses.

I chose a legal action for this decision.

I need +741 to reach 1500, and a single spin can only return that with a 35:1 win covering enough pockets. Seven straights at 26 each (182 total) give a net +754 on any hit, reaching 1513, for about 18.4% per spin, the highest single-spin chance within the 200 cap.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, so placing no bets preserves the lead and avoids giving back chips.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, and only the final result counts, so skipping avoids any chance of dropping below target.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, so I'm skipping this spin to avoid risking the lead.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, so I'll skip to avoid any chance of dropping below it.

I chose a legal action for this decision.

My bankroll of 1513 already clears the 1500 target, and any bet risks dropping below it, so skipping this spin keeps the success condition intact.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, and only reaching the target counts, so placing no bets protects the lead.

I chose a legal action for this decision.

With 1513 chips the target is already met and any further bet only adds risk of falling below 1500, so skipping is the safest choice.

I chose a legal action for this decision.

My bankroll of 1513 already clears the 1500 target, and only reaching the target counts, so placing no bets avoids any risk of falling back below it.

I chose a legal action for this decision.

My bankroll of 1513 already meets the 1500 target, and only reaching the target counts, so I'll skip this spin to avoid risking it.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, so skipping preserves the success condition without risking chips on negative-expectation bets.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, and only the final bankroll matters, so skipping keeps the lead safe with no further variance.

I chose a legal action for this decision.

My bankroll of 1513 already meets the 1500 target, and only reaching the target counts, so I'm skipping to avoid losing it back.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, and only reaching the target counts, so placing no bets protects the lead for the remaining spins.

I chose a legal action for this decision.

My bankroll of 1513 already exceeds the 1500 target, so I'll skip this spin to protect the lead rather than risk falling below it.

I chose a legal action for this decision.

Bankroll is already 1513, above the 1500 target, and skipping guarantees finishing at or above it, while any bet could only add risk of dropping below.

I chose a legal action for this decision.

I already hold 1513, above the 1500 target, and skipping keeps the success guaranteed on the final spin.