Roulette table

Two 16-chip straight-up bets: a hit on either pays enough to reach 1,500 at once (+544 net). The low cost per spin keeps many attempts available across the remaining 19 spins.

Since only reaching 1,500 counts, I'm using high-variance straight-up bets. Each is sized so a single hit on either number lifts the bankroll past the target (938 + 595 - 17 = 1516), at a cost of 34 chips per spin, which leaves many spins of coverage.

Reaching the target is all that counts, so I'm playing boldly with eight straight-up bets of 22 chips each. Any hit pays 792 against the 176 staked, which lifts the bankroll from 904 to about 1520, and it gives roughly a 21% chance of finishing this spin while limiting total exposure to the house edge.

Only reaching 1,500 counts, so I am spreading small straight-up bets over many spins, sized so any single hit clears the target (728-46+828=1510). Two numbers per spin keeps the cost per covered pocket low while still using most of the remaining spins.

I need +818 chips to reach 1500. Two 25-chip straight-ups mean a single hit nets 850, which reaches the target on its own while spending only 50 chips a spin, so I can take many more shots than I could with even-money bets.

This is a bold-play approach, since only reaching 1500 counts: a hit on either straight takes the bankroll to 1516. Two numbers at 26 chips costs 52 per spin, which spreads the remaining 632 chips across roughly all 14 remaining spins and gives each spin a 2/38 chance to hit.

Six straight-up bets of 31 chips each cost 186. If any one hits, the bankroll rises by 31×35−155=930 to 1510, just past the target, and this pace gives roughly a 40% chance of reaching 1500 over the next three spins.

Needing +1106 in 12 spins, the most efficient route is repeated minimum-size straight-up bets. A 32-chip hit alone lifts the bankroll to 1514, and this sizing keeps enough chips for roughly 11 attempts.

A single 33-chip straight-up bet reaches 1,517 on a hit, clearing the 1,500 target. This keeps the cost per attempt low, so the bankroll can fund about ten tries over the remaining spins.

Only reaching 1,500 counts, so I'm putting 34 on a single number: a hit takes the bankroll to 1,519. Keeping each stake near the minimum needed to reach the target from one hit leaves enough chips for several more attempts across the remaining spins.

I need +1205 with only 295 chips and 9 spins left, so only a straight-up hit can reach 1500. A 35-chip stake is the smallest that gets there (295 + 35×35 = 1520), and keeping stakes minimal leaves room for as many attempts as possible.

I need +1240 in 8 spins, so the cheapest route is one straight-up bet per spin just large enough to hit the target (36 x 35 = 1260). This spreads the bankroll over about 6 attempts.

A 37-chip straight-up bet on 17 reaches the target in one hit: 224 - 38 + 37*36 = 1518. The extra 1 chip on 00 is a tiny side cover. This stake leaves room for about five more tries over the remaining spins.

With 186 chips and 6 spins left, a single 38-chip straight-up bet is the smallest stake whose 35:1 win (to 1516) reaches the 1500 target. This bold-play approach leaves chips for several more attempts.

I need 1,352 more chips, and only a straight-up can do that. Two 40-chip straights reach 1,512 if either hits, and a miss still leaves 68 chips for one more single straight big enough to reach the target.

41 on one number reaches 1,503 chips outright if it hits. The other 27 on a dozen that doesn't contain that number can grow the stack to 81, giving another shot at the target over the last three spins; I estimate this at about 4.1%, versus about 2.6% for going all-in on one number.

With 81 chips and 3 spins left, one straight-up bet can reach 1,500 only about 2.6% of the time. Going all-in on a dozen first (to 243), then several straight-ups over the last two spins, gives about 4.1%, which beats the other lines I checked.

Two straights at 37 each; a hit lands exactly 1501. A miss leaves 169, enough for four straights at 42 on the final spin, which would reach 1513. That gives about 220/1444 to hit the target, the best split I found.

This is the last spin and I need to gain 1,331 chips, so only straight-up bets can get there. Four straights at 42 chips each is the most numbers I can cover while any single win still lands at 1,513 chips, giving a 4/38 chance of reaching the target.