Roulette table

Need +500 in 20 spins with max 200 per spin, so I must bet the max each spin. Two dozens cover 24 of 38 pockets, which gives a positive-net win at about 63% per spin, while the higher-variance option is better saved for later once I see progress.</br>

Reaching 1500 needs +400 from 1100, and only a straight-up win pays enough in one spin. Betting the 200-chip spin maximum on two numbers gives the best chance of hitting before the bankroll runs out.

Need +600 from 900 in 18 spins, so I spread 8 straight-ups at 22 each. Any hit nets +616 to reach 1500, with about a 21% chance per spin while limiting the cost per miss.

I need +776 with 17 spins left, so I'm using straight-ups sized so a single hit reaches the target (25 x 35 minus the 75 lost on the other three straights nets +800). Four numbers per spin gives about a 10.5% hit chance while keeping the bankroll alive for several more tries.

Outside bets can't realistically close an 876-chip gap in 16 spins, so I'm using straight-ups. Six numbers at 30 each means any single hit leaves bankroll at 624 + 30*30 = 1524, which reaches the target, at 6/38 chance per spin.

A 35:1 straight-up with a 31-chip stake reaches 1529 if it hits, and it gives the best hit chance per chip risked. That leaves the most spins to try before the bankroll runs out.

Reaching 1500 needs a +1087 gain, and only a straight-up win can deliver that. A 32-chip straight pays 1120, so a single hit reaches the target, and it costs less per spin than covering two numbers.

Bankroll is already 1533, above the 1500 target, and only finishing at or above the target counts. Every bet has negative expectation, so skipping is allowed and unpenalised, and it protects the result.

Bankroll is already 1533, above the 1500 target. Every bet has negative expected value on a double-zero wheel, and skipping is neither rewarded nor penalised, so I skip to protect the target.

Bankroll is 1533, already above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expectation, so placing no bets keeps the target secured.

Bankroll of 1533 already exceeds the 1500 target, and skipping is not penalised, so any bet only adds risk of falling below target.

Bankroll is already 1533, above the 1500 target, and skipping is not penalised, so placing no bet keeps the target secured rather than risking it against the house edge.

Bankroll is already 1533, above the 1500 target, and only reaching the target counts. Skipping is unpenalised and every bet has negative expectation, so I place no bet.

Bankroll is already 1533, above the 1500 target, and skipping is allowed with no penalty. Every bet has negative expected value on this wheel, so placing no bet keeps the target secured.

Bankroll is already 1533, above the 1500 target, and only reaching the target counts. Skipping is neither rewarded nor penalised, so placing no bet keeps the target secured at no risk.

Bankroll is already 1533, above the 1500 target, and only reaching the target counts. Skipping every remaining spin keeps it safe, since betting only adds risk against a negative-edge wheel.

Bankroll is already 1533, above the 1500 target, and only reaching the target counts. Skipping is neither rewarded nor penalised, and every bet has negative expected value, so betting would only risk falling below 1500.

Bankroll of 1533 already exceeds the 1500 target and only reaching the target counts, so skipping is the risk-free choice.

Bankroll is already 1533, above the 1500 target, and skipping is neither rewarded nor penalised. Every bet has negative expected value and could drop me below target, so I place no bet.

Bankroll is 1533, already above the 1,500 target with one spin left. Skipping is not penalised, and any bet has negative expected value and could only put the target at risk, so I place no bet.