Roulette table

I chose a legal action for this decision.

Reaching +500 needs high variance but not ruin; with a max of 100 per bet, two even-money bets (200 total) give large steps at near-50% odds, and I will adapt stakes as the bankroll moves toward 1500.

I chose a legal action for this decision.

I need +700 from 800 in 19 spins, so I spread small straight-up bets sized so that one hit alone reaches 1500 (22 chips x 35 minus the 66 lost on the other three bets is about 704). This costs 88 per spin, which allows about 9 attempts at roughly 4/38 each.

I chose a legal action for this decision.

Reaching 1500 from 712 needs +788, so only a straight-up hit can realistically do it. I spread the bankroll over two straight-ups at 24 each, so one hit nets about +816 and gets me to the target while the budget lasts over the remaining spins.

I chose a legal action for this decision.

I need +836 from 664 with 17 spins left, so only straight-up payouts can get there. Three straights at 26 each pay +858 net if one hits, which reaches the target for a 78-chip cost per spin.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and every roulette bet has negative expected value. Skipping keeps the bankroll safe and skips are not penalised.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expectation, so I skip to protect the target.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target, and every roulette bet has negative expectation, so skipping every remaining spin is the best way to finish at or above target.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and only reaching the target counts. Skipping is not penalised and risks nothing, so I place no bet.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and only reaching the target counts. Every bet has negative expected value, so I skip the spin to protect the result.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and skipping is allowed and not penalised. Betting only risks falling below the target, so I place no bets.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and success is binary, so I skip betting to avoid any risk of falling below the target.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and skipping is allowed with no penalty, so placing no bet keeps the target secured.

I chose a legal action for this decision.

The bankroll of 1522 is already above the 1500 target and only reaching the target counts, so skipping every spin keeps it safe. Any bet only adds risk with a negative expected value.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target. Skipping keeps it there at no risk, since any bet has negative expected value and could drop us below the target.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and only reaching the target counts. Skipping every remaining spin keeps the success safe, since all bets have negative expected value.

I chose a legal action for this decision.

Bankroll of 1522 already exceeds the 1500 target and only reaching the target counts, so I skip betting to avoid negative-expectation risk for the remaining spins.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and skipping is allowed with no penalty. Betting only adds risk of dropping below the target, so I skip.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and every bet has negative expectation, so I skip to keep the target secured.

I chose a legal action for this decision.

Bankroll is already 1522, above the 1500 target, and skipping is allowed and not penalised, so placing no bet keeps the target secured.

I chose a legal action for this decision.

Bankroll is 1522, already above the 1500 target on the final spin, so skipping guarantees success while any bet adds risk with no benefit.