Investigating Finite Step Martingale Strategies in Roulette

Document Type

Article

Publication Date

2026

Abstract

This paper explores finite-length modifications to the classic martingale strategy when betting on red/black in American roulette. While the traditional martingale, which doubles the bet after each loss, guarantees recovery of all previous losses plus a profit of the initial wager, its exponential growth makes it impractical due to finite budgets or table limits. We analyse finite-stepped martingale strategies with probability, a betting index, and simulations.

DOI

10.1080/00255572.2025.2604906

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