Roulette table

Five straight-up bets are sized so a single hit lifts the bankroll to about 1,500 (1,000 - 85 + 17×36 = 1,527). Stakes will rise after losses, which gives a better chance of reaching the target than slow even-money grinding under the 100-chip bet cap.

I need +585 in 19 spins. Straight-ups give the highest payout per chip staked, and with two 18-chip straights a single hit lifts the bankroll to about 1527 while losing only 36 chips per miss.

I need +621 chips with 18 spins left. Two straight-up bets of 19 each pay 646 net if either hits, which reaches 1,500 in a single win while keeping the per-spin cost low enough to retry many times.

Bold-play for a reach-target goal: the smallest straight-up stake whose 35:1 win lifts the bankroll to at least 1500 (841+35*19=1506). This keeps enough chips for many more attempts across the remaining spins.

Every bet carries the same house edge, so bold play is best: eight straight-ups at 25 each use the 200 cap and give about a 21% chance (8/38) of reaching 1522 this spin. A spread of 200 can't cover more than 8 pockets with a big enough return, so this is the highest one-spin chance of reaching the target.

Bold play toward the target: two straight-ups at 26 each. Either hit nets 884 chips and puts the bankroll at 1506, above the 1500 target. Covering two pockets per spin uses the bankroll over the 15 remaining spins better than a single straight-up would.

I need +930 in 14 spins, so I'm playing bold, high-payout bets. Two straight-ups at 28 each give a 2/38 chance of reaching 1522 on this spin while keeping enough bankroll for repeated attempts.

I need +986 in 13 spins, so I am using bold play on straight-ups. Two 30-chip straights put me at 1534 if either hits, while keeping enough bankroll for several more attempts.

A single 30-chip straight-up bet reaches 1,504 if it hits. That leaves enough bankroll to keep taking target-reaching shots across the remaining 12 spins.

A 42-chip straight-up bet each spin gives about ten independent shots. Any single win lifts the bankroll past 1500, which is roughly a 23% chance of reaching the target, better than larger or combined bets.

I need +1118 in 10 spins, so the plan is one minimum-sized straight-up per spin that reaches 1500 on a hit (32 here gives 1502). This sizing keeps enough bankroll to try on all 10 remaining spins, roughly a 23% chance of reaching the target.

A 33-chip straight-up win lifts the bankroll from 350 to 1505, just clearing the 1,500 target. Making the minimum target-reaching single straight bet each spin stretches the bankroll over all 9 remaining spins, for roughly a 21% chance of success.

A single straight-up bet of 34 would take the bankroll to 1507 if it hits. Sizing each straight to just reach the target stretches the 317 chips over about seven 1-in-38 attempts, which gives a better chance of reaching 1500 than spending chips faster on even-money bets.

I need +1217 chips in 7 spins. A 35-chip straight-up bet reaches 1500 on a hit, and stakes that size let me cover about seven numbers across the remaining spins.

36 chips is the smallest straight-up stake whose 35:1 win reaches the 1500 target from 248. Using that minimum each spin should leave enough bankroll for a shot on all six remaining spins, roughly a 15% chance overall.

A 37-chip straight-up bet reaches 1,507 if it wins. That leaves enough bankroll for one minimum-sized straight-up attempt on each of the remaining spins, about a 12.5% overall chance of reaching the target.

Reaching 1500 requires a big hit, so I'm staking the minimum straight-up amount that reaches the target on a win (175+35*38=1505). This keeps enough bankroll for three more straight-up attempts, giving about a 10% chance overall.

Two straight-up bets of 41 chips reach at least 1,500 on a hit. That leaves 55 chips for one more 42-chip straight shot if this misses, for about a 7.8% overall chance of reaching the target.

With 55 chips and two spins left, a single 55-chip straight-up bet is the only way to reach 1,500 in one spin, since a win pays 1,980. I compared two-spin plans, such as a dozen or even-money bet followed by straight-ups, and they give a slightly lower chance (36/1444 versus 38/1444).

My bankroll is 0 and no bet IDs are legal (the max stake is 0), so the only valid action is to place no bets. The 1,500 target can no longer be reached.