Roulette table

Bold play: a 15-chip straight-up bet wins 525, which reaches the 1,500 target in one hit. It risks little per spin, so I can repeat it across all 20 spins for about a 41% chance of success.

Reaching 1,500 requires about 515 more chips. Three straight-up bets of 16 each net roughly +528 on a hit, clearing the target in one win. At 48 chips per spin, the bankroll can keep taking these shots across most of the remaining spins while limiting how much is lost to the house edge.

The target needs +563 in 18 spins with a 200-chip-per-spin cap, so I bet the full spin limit for maximum variance. An overlapping dozen and column gives the highest spread among outside bets at the same house edge.

Only reaching 1,500 counts, so I'm placing two straight-up bets sized so that either hit lands at about 1,519 in one spin. That spends a small share of the bankroll per spin and leaves room for many more attempts.

I need +809 in 16 spins. Putting 24 chips on each of two numbers is the smallest stake where a single hit reaches 1,507, which stretches my bankroll over as many winning chances as possible.

Only reaching the target counts, so I am sizing straight-up bets so that a single hit takes me to at least 1,500. If either number hits, I finish at 1,527. Keeping stakes near that minimum gives the most attempts before my bankroll runs out, but the odds still favour the house.

Only reaching the target counts, so I'm putting 29 chips on each of four straight-up numbers. Any single hit takes the bankroll to 1519, and keeping each stake to the smallest amount that clears the target stretches the bankroll over more chances.

I need +1025 chips in 13 spins, so I am making a single 35-chip straight-up bet: a hit takes me to about 1700. Keeping the stake small spreads my bankroll over more spins, which should give roughly the best chance of one hit before the session ends.

I need +1060 in 12 spins, so I'm taking the high-variance route. A 31-chip straight-up hit here takes me to 1525, and a slowly rising straight-up schedule keeps the target reachable with one hit on each of the remaining spins, for about a 27% overall chance.

A single straight-up bet of 32 wins 1120 net, enough to reach 1500 from 409. Sizing each spin to just reach the target spreads the bankroll across all 11 remaining spins, which gives roughly a 25% chance of hitting the goal.

I need +1123 from 377 with 10 spins left. A single 33-chip straight-up bet would reach 1532 if it hits, and repeating minimal target-reaching straights each spin gives about 10 shots, roughly a 24% overall chance.

I need 1,156 more chips in 9 spins, so I'm playing bold on straight-ups: two numbers at 34 each means either hit takes me to 1,500 or more. Covering few numbers per spin keeps the cost per number low and leaves bankroll for several more tries.

The bankroll is already at the 1,500 target and only reaching it counts. Skipping every remaining spin locks in success, while any bet has negative expectation and could drop me below the target.

The bankroll is already exactly at the 1,500 target, and the margin above it doesn't count. Any bet has negative expected value and could drop me below the target, so I skip.

The bankroll is already at the 1,500 target, and only reaching the target counts. Any bet has negative expectation and could drop me below it, so skipping protects the win.

The bankroll already equals the 1,500-chip target, and every bet has negative expected value, so any wager could only drop me below the target. Skipping keeps the goal secured, and skips are allowed at no penalty.

Bankroll is already at the 1,500 target and success is judged on the final bankroll, so any bet would add risk of dropping below it with no benefit. Skipping locks in the target.

The bankroll is already at the 1,500 target, and only reaching the target counts. Skipping the remaining spins locks in success, while any bet has negative expected value and risks dropping below the target.

The bankroll is already at the 1,500 target, and any bet has negative expected value and risks dropping below it. Skipping the remaining spins locks in success.

The bankroll is already exactly at the 1,500 target with one spin left, so any bet could only risk dropping below it. The margin doesn't count, so skipping locks in success.