Roulette table

Using a bold-play approach on the best near-fair outside bet (red, ~47.4% win) to grow the 500-chip deficit efficiently across the remaining 18 spins while keeping downside capped at 100 chips this spin.

Applying bold-play logic: with 900 chips and needing +600 to hit 1500 in 17 spins, a single straight-up bet of 18 chips (35:1) would, if it hits, push the bankroll to 1530, clearing the target in one step; if it misses, we retain most of the bankroll to continue the bold-play sequence.

Down to 882 with 16 spins left, need +618 to hit 1500; a bold straight-up bet of 18 on a single number pays 35:1, which if it hits jumps the bankroll to 1512 in one shot, maximizing the chance of reaching the target given the sub-fair house edge.

Bold-play optimal: with 15 spins left and needing 636 more chips, a single straight-up bet of 19 chips (35:1) exactly reaches the 1500 target on a win, minimizing exposure to the house edge while preserving bankroll if it loses for further attempts.

With only 10 spins left and needing to jump from 845 to 1500, only a bold, high-payout single-number bet can realistically close the gap; staking the minimum (19) on a straight-up bet yields a payout that lands exactly at 1500 if it hits, while preserving most of the bankroll for future attempts if it misses.

With 826 chips and 4 spins left, bold-play math shows betting 25 chips on 8 distinct numbers (200 total) guarantees a bankroll of 1526 if any hits, meeting the 1500 target while maximizing hit probability (~21%) given the max-stake constraint.