Roulette table

I chose a legal action for this decision.

I need +500 in 20 spins, so I'm covering two straight-ups at 15 each: a hit nets 510 and reaches the target at low cost. That leaves bankroll to repeat the play, scaling stakes up to cover any losses.

I chose a legal action for this decision.

Only reaching 1500 counts, so I am using bold, high-variance straight-up bets sized so that a single hit (+561) clears the target. Three numbers at 17 chips each keeps the per-spin cost low enough to allow many attempts over the remaining spins.

I chose a legal action for this decision.

I need +581 in 18 spins against a house edge, so I am betting the full 200 per spin on a high-variance dozen+column combination. That gives a 4/38 chance of +400, a 16/38 chance of +100 and an 18/38 chance of -200, which keeps the number of spins exposed to the edge low.

I chose a legal action for this decision.

Ten straight-ups at 19 chips each would reach the 1,500 target in one hit (about a 26% chance per spin), which is efficient bold play given the 200-chip cap per spin. The numbers themselves are arbitrary, since every pocket is equally likely.

I chose a legal action for this decision.

I need +671 and only reaching 1500 counts, so a bold play fits. Eight straight-ups at 25 each use the 200-chip spin cap; any single hit returns 875 and takes me to 1529, a 21% chance this spin.

I chose a legal action for this decision.

A 25-chip straight-up win pays 875 and lifts the bankroll from 629 to 1504, which reaches the target in one hit. Repeating this small bet each spin gives about a 1-in-3 chance of hitting before the session ends while keeping the bankroll intact for the remaining spins.

I chose a legal action for this decision.

I need +896 to reach the target. A single 27-chip straight-up win from either number would take me to 1522. Covering two numbers per spin spreads my bankroll across the remaining spins to maximise the chance of at least one hit.

I chose a legal action for this decision.

I need +950 in 13 spins, so I'm using bold straight-up play with the smallest stake whose win reaches 1500 (35*28 >= 950). This keeps enough bankroll for a shot on every remaining spin.

I chose a legal action for this decision.

My bankroll of 1530 is already above the 1500 target, and only finishing at or above the target counts. Skipping every remaining spin locks in success with no risk.

I chose a legal action for this decision.

My bankroll of 1530 is already above the 1500 target, and every bet has negative expected value and could drop me below it. Skipping every remaining spin locks in the target.

I chose a legal action for this decision.

My bankroll of 1530 is already above the 1500 target, and only reaching the target counts. Skipping removes any risk of falling below it.

I chose a legal action for this decision.

Bankroll of 1530 already meets the 1500 target, and every bet has negative expected value. Skipping protects the target, since a single 200-chip loss would drop me below it.

I chose a legal action for this decision.

Bankroll of 1530 already meets 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.

My bankroll of 1530 already meets the 1500 target and a larger margin earns nothing, so I am skipping to avoid any risk of dropping below it.

I chose a legal action for this decision.

My bankroll of 1530 already exceeds the 1500 target, and every bet has negative expected value. Skipping preserves a guaranteed success.

I chose a legal action for this decision.

My bankroll of 1530 is already above the 1500 target, and any bet risks dropping below it. Skipping carries no penalty, so not betting locks in success.

I chose a legal action for this decision.

Bankroll of 1530 is already above the 1500 target, and every bet has negative expected value. Skipping the remaining spins locks in success.

I chose a legal action for this decision.

My bankroll of 1530 is already above the 1500 target, and success only counts if I finish at or above it. Skipping removes all risk of falling below.

I chose a legal action for this decision.

My bankroll of 1530 is already above the 1500 target. Any bet could only lower my chance of finishing at or above it, so skipping locks in success.

I chose a legal action for this decision.

At 1530 chips I am already above the 1500 target with one spin left, so skipping locks in success; any bet only adds risk.