Roulette table

I chose a legal action for this decision.

Ten straight-up bets of 20 cover 10 of 38 pockets, so a hit nets +520 and reaches 1520 in one spin, about a 26% chance. Spreading the full 200 cap across ten numbers gives the best single-spin odds of clearing the 500-chip gap.

I chose a legal action for this decision.

I need +700 in one spin for the target, and seven straight-up numbers at 25 each (175 total) reach 1500 on any hit while staying within the per-spin cap, the best single-spin success chance available.

I chose a legal action for this decision.

I need +875 from 625 and only reaching the target counts, so a high-variance six-number straight-up spread with 30 per number pays +900 net on any hit, reaching 1525, at a 6/38 hit chance per spin.

I chose a legal action for this decision.

At 445 chips, a 31-chip straight-up hit (+1085) would reach the 1500 target in one spin, and spins are independent, so I'm taking that single high-variance shot.

I chose a legal action for this decision.

A single straight-up win at 32 chips lifts the bankroll past 1,500, and small stakes let me survive more losing spins while I wait for it.

I chose a legal action for this decision.

I need a net gain of 1118, and a 32-chip straight-up bet on one number returns exactly 1502 if it hits, so I am taking the bold single-number shot each spin.

I chose a legal action for this decision.

With 14 spins left I need to grow 350 to 1500, so I'm taking a 100-chip even-money red bet, which keeps a real chance to build up without the long shot of a single straight-up bet.

I chose a legal action for this decision.

With 250 chips I need a 6x gain, so bold play is best; four straight-ups at 50 each give a 4/38 chance of reaching 1500 this spin.

I chose a legal action for this decision.

My bankroll of 1850 already exceeds the 1500 target, so I'll skip this spin to avoid risking the lead.

I chose a legal action for this decision.

Bankroll is already 1850, above the 1500 target, and only reaching the target counts, so skipping this spin keeps the objective secured with no risk.

I chose a legal action for this decision.

Bankroll is already 1850, above the 1500 target, so placing no bets preserves the lead and avoids variance.

I chose a legal action for this decision.

Bankroll is already 1850, above the 1500 target, and only reaching the target counts, so skipping this spin keeps the objective secured with no risk.

I chose a legal action for this decision.

The bankroll of 1850 already exceeds the 1500 target, so placing no bets preserves the lead without added risk.

I chose a legal action for this decision.

My bankroll of 1850 already exceeds the 1500 target, and only reaching the target counts, so any bet only adds risk of falling below it. Skipping keeps the position safe.

I chose a legal action for this decision.

My bankroll of 1850 already exceeds the 1500 target, and only reaching the target counts, so skipping avoids any risk of falling below it.

I chose a legal action for this decision.

The bankroll of 1850 already exceeds the 1500 target, and only reaching the target counts, so I'm skipping to avoid any risk of dropping below it.

I chose a legal action for this decision.

My bankroll of 1850 already exceeds the 1500 target, so any bet only adds risk of falling below it; skipping keeps the success condition secure.

I chose a legal action for this decision.

The bankroll is already 1850, above the 1500 target, and any bet could only add risk of falling below it, so skipping keeps the success condition secure.

I chose a legal action for this decision.

Bankroll is already 1850, above the 1500 target, so skipping keeps the success condition secure without adding risk over the last two spins.

I chose a legal action for this decision.

Bankroll is already 1850, above the 1500 target, and only reaching the target counts, so I'm skipping the final spin to avoid any risk.