Roulette table

Need +500 in 20 spins; a 15-chip straight-up hit pays 525 and reaches the target in one go, so I spread 15 chips over 3 numbers each spin to maximize number-spins of coverage within the bankroll (roughly 40 number-spins, ~65% chance of at least one hit).

Need +545 in 19 spins; stacking two highly correlated even-money bets (red+odd overlap on 10 numbers) approximates a 200-chip even-money bet, giving roughly a 35-45% chance to reach 1500 versus ~22% for straight-up bets.

Need +545 with 18 spins left; a 16-chip straight-up hit pays 560 and clears the 1500 target in one spin, giving roughly a 38% chance over the remaining spins while risking little per spin, far better than grinding even-money bets against the house edge.

Need +561 in 17 spins; two straight-up bets of 17 each net +578 on a hit (2/38 per spin), and the escalating-stake plan fits the bankroll for ~16 spins, giving roughly a 59% chance to reach 1500 versus ~35% for even-money grinding.

Need +595 with 16 spins left; two straight-up bets of 18 net +612 on a hit (reaching the target in one spin) while keeping cost low enough to repeat this scaled-up plan every remaining spin within the 905 bankroll, maximizing the chance of at least one hit (~57%).

Need +631 in 15 spins; even-money grinding is unlikely to net +4 wins, so I cover 4 numbers at 20 each (a hit yields 869-80+720=1509, clearing the target) with ~10.5% per spin and enough bankroll to repeat with escalating stakes for ~7 spins, giving roughly a 54% overall success chance.

Need +711 with 14 spins left; a single straight-up hit at 21 chips nets 714 (after the other 21 lost) which clears the target, so covering two numbers per spin at minimal size maximizes the number of spins I can afford and thus the overall hit probability (~50%).

Need +753 in 13 spins; two straight-up bets of 23 each mean any hit nets +782 and clears the target in one spin, while keeping per-spin cost low enough to sustain ~12 attempts (~48% overall), far better than grinding even-money bets.

Need +799 in 12 spins; even-money grinding is hopeless, so I use small straight-up bets sized so a single hit (35:1) clears 1500 (24*35-24=816), spreading ~700 chips across 11 spins on two numbers each for roughly 43% success versus ~38% for bold max bets.

At 653 with 11 spins left, even-money bets can't realistically close an 847-chip gap, so I use straight-up bets sized so a single hit (34x25 = 850 net) reaches 1500, spreading ~50 chips/spin over two numbers to maximize cumulative hit probability (~40%) across the remaining spins.

Need +897 in 10 spins; even-money bets can't realistically get there, so two straight-up bets at 27 each give a single hit that lands exactly at 1521 ≥ 1500 while keeping enough bankroll to repeat this for roughly 9 more spins (~18 chances at 1/38).

At 549 chips needing 1500 in 9 spins, only a straight-up hit can realistically reach the target; 28 chips on a number is the minimum stake that gets there (549-56+28*36=1501), so I spread minimal stakes across two numbers to maximize total number-spin coverage.

Need +1007 in 8 spins from 493; only straight-up hits can close that gap, so I cover three numbers at 31 each (a hit nets 33*31=1023, reaching 1516) while keeping enough bankroll to keep firing two-number shots on later spins.

Need +1100 in 7 spins with only 400 chips, so even-money grinding is near-hopeless; only a straight-up hit can reach 1500. Betting 33 on two numbers is the minimum stake that still reaches 1500 on a hit (400+35*33-33=1522), maximizing total number-chances (~10) across the remaining spins.

Need +1166 in 6 spins from 334; only straight-up hits can get there. Five numbers at 40 each: any hit yields 134+1440=1574 >= target (5/38 chance), and if it misses the remaining 134 still allows a 3-number shot next spin.

With 134 chips and 5 spins left, only a straight-up hit can reach 1500; staking 42 on three numbers (any hit yields 134-126+1512=1520) gives 3/38 right now, slightly better than sequential single-number shots, while keeping 8 chips for a longshot chain.

With 8 chips and 4 spins left, only consecutive straight-up hits can reach 1500; betting the full bankroll on a single number (8 -> 288) is the only path that keeps the target reachable.

With 288 chips and 3 spins left, only straight-up hits can reach 1500; five numbers at 40 each hits 1528 on a win (5/38 chance) and leaves 88 for a two-number follow-up next spin, maximizing total coverage across remaining spins.

Need a 35:1 hit to reach 1500 from 88 in two spins; 41 on a number reaches 1518 if it hits, while keeping 42 in reserve for a final all-in straight-up (42*36=1512). The extra 5 on a second number keeps the reserve intact but, if it hits, lets me cover four numbers on the last spin.

Last spin with 42 chips and target 1500; only a straight-up win (42*35=1470 profit -> 1512) can reach the target, so all-in on a single number is the only policy with nonzero success probability.