Roulette table

Two maximum straight-up bets offer the best immediate chance of a win large enough to reach the target; the pockets are equally likely.

A 20-chip straight-up hit gains 700 chips, enough to reach the target from the current bankroll. This preserves bankroll for many attempts; if it misses, the stake can be adjusted upward on later spins.

A 21-chip straight-up win reaches the 1,500-chip target from 780 while keeping the loss small enough to preserve attempts. Roulette outcomes are independent, so the prior spins do not favor any number.

A 22-chip straight-up wager can exceed the 1,500-chip target if it hits, while limiting the loss on a miss and preserving more chips for later attempts. Outcomes are independent, so previous spins do not favor any number.

A 22-chip straight-up win yields 770 chips in profit, enough to reach the target immediately, while limiting losses on a miss preserves bankroll for future attempts.

A 23-chip straight-up win nets 805 chips, enough to reach the target immediately; this preserves bankroll for further attempts if it misses.

A 24-chip straight-up win pays 840 chips, enough to reach the target from my current bankroll. This is the minimum stake that makes a single hit sufficient while limiting the loss if it misses.

A 24-chip straight-up hit would bring the bankroll to at least the 1,500-chip target, while this stake preserves enough bankroll for repeated attempts. Roulette outcomes are independent, so prior results do not affect the choice of number.

A 25-chip straight-up win earns 875 chips in profit, enough to reach the 1,500-chip target from this bankroll. Keeping the stake at that minimum preserves as many attempts as possible.

A 26-chip straight-up wager wins enough to exceed 1,500 from the current bankroll, while keeping losses small enough to preserve chances on later spins. Prior outcomes do not affect the independent wheel odds.

Two straight-up bets cover 2 of 38 equally likely pockets. Either hit gains 918 net chips, enough to reach the target, while the 54-chip total stake leaves room to keep trying across the remaining spins.

With 539 chips and nine spins left, reaching 1,500 requires a high-variance win; a 100-chip straight-up bet offers the needed upside. Each pocket is equally likely, so past outcomes do not favor any number.

A 31-chip straight-up win reaches the 1,500-chip target, while risking more on the same 1-in-38 outcome would only worsen the downside. Prior spins do not affect the independent wheel odds.

Five straight-up bets cover five pockets while staying within the spin limit. A hit nets enough to reach the target from this bankroll; previous outcomes do not change the odds.

A minimal straight-up stake preserves bankroll while offering a small chance to boost it, leaving more spins for target-reaching bets.

A 36-chip straight-up win would raise the bankroll above 1,500, while risking more would not improve the chance of reaching the target this spin. The wheel is independent and uniform, so no pocket is more likely than another.

A 100-chip straight-up bet gives the best single-bet chance to reach the target in one hit; past spins do not affect the independent wheel odds.

With only three spins left, a 100-chip straight-up hit is the only single bet that can reach the target from this bankroll. Each number is equally likely, so I chose one arbitrarily.

With only two spins left, a straight-up hit on this maximum stake is needed to create enough bankroll for a possible target-reaching bet on the final spin.

No chips remain, and the observation permits no wagers. There is no legal action that can reach the target.