Roulette table

This is a bold-play plan: cover two single numbers each spin, sized so that one hit clears the 1,500 target (15×35 − 15 = +510). Stakes will scale with cumulative losses, which should allow roughly 19 attempts for about a 64% chance of reaching the target.

This is bold play toward the target: two small straight-up bets sized so a single hit on either number lifts the bankroll past 1,500. Staking the minimum needed each spin keeps the house edge's drain low while giving roughly a 60% chance of reaching the target over the remaining spins.

Every bet here carries the same house edge, and the 200-per-spin cap rules out classic bold play, so I'm using small straight-up bets sized so that one hit reaches the target (net +594, taking the bankroll to 1532). Spreading across three numbers raises the chance of a hit each spin while leaving enough bankroll to keep trying over the remaining 18 spins.

Only reaching the target counts, so this is a bold bet: four straight-ups at 20 chips each, where any hit takes the bankroll to 1524. That gives about a 10.5% chance per spin while leaving enough chips for several more tries.

I need +696 chips, so I'm betting 21 on each of two straight-up numbers. A hit nets 714 and reaches the target in one spin, while the per-spin cost stays low enough to allow many attempts over the 16 remaining spins.

Only reaching 1,500 counts, so I am using the smallest straight-up stakes that still hit the target on a win (762 - 44 + 792 = 1,510). This keeps enough bankroll to buy as many chances as possible over the remaining 15 spins.

I am 782 chips short with 14 spins left, so I need high variance within the 200-chip cap. A dozen plus a column pays 2:1 each, with a +400 swing on the four shared numbers (25, 28, 31, 34), and it gives more reach than even-money bets.

A 29-chip straight-up win pays 1,015, which takes the bankroll from 518 to at least 1,500, the target. Staking only the minimum needed each spin leaves the most spins, and so the most chances at a 1-in-38 hit, before the chips run out.

We need about +1011 chips in 12 spins, and only reaching 1500 counts. Two 30-chip straight-up bets are the cheapest stakes where either hit lands us at 1509, which gives us the most total shots at the target from what's left of the bankroll.

The target is 1,071 chips away, so I'm using bold play: the smallest single straight-up stake where one 35:1 hit reaches 1,500. That leaves enough bankroll to keep taking roughly one shot per remaining spin.

I need +1,102 with 10 spins left, so I am playing boldly with two straight-up bets sized so either win reaches the target (398 - 66 + 34×33 = 1,520). This lets me afford about 5 or 6 tries, which by my rough count is slightly better than the other sizings I checked.

With 332 chips and 9 spins left, only a straight-up hit can realistically reach 1500. A 34-chip straight bet gets there on a single hit (332 - 34 + 36×34 = 1522) while leaving enough chips for further attempts on later spins.

I need +1202 chips in 8 spins. A 35-chip straight-up is the smallest stake that reaches 1500 in one hit (298 - 35 + 36×35 = 1523). Keeping stakes this small spreads the bankroll over about seven such attempts.

With 263 chips and 7 spins left, only a straight-up hit can reach 1500, and 36 is the smallest stake whose win clears the target. Betting the minimum qualifying stake on one number per spin gives about six attempts.

Four straight-up bets of 40 each: any hit leaves 1507, which reaches the 1500 target in one spin, and a loss still leaves 67 for one more 41-chip straight-up shot. By my rough count this plan has the best chance of any I compared (about 12.9%) of hitting the target from 227.

A 41-chip straight-up win takes the bankroll to exactly 1502, which reaches the 1500 target in one spin. That keeps 26 chips back for another long-shot attempt if this spin misses.

With 26 chips and 3 spins left, only straight-up bets can reach 1,500, and three 8-chip straights give the best rough estimate (about 1.4%). A hit leaves about 290 chips to spread across straights on the last two spins.

With 2 chips and one spin left, the best possible result is 72 chips (2 on a straight-up at 35:1), so the 1,500 target is unreachable. Skipping is neither rewarded nor penalised, so I sit out.