Tradeoff between Step Size and Win Probability in Ruin Problems

In this article, I ask a huge question - how to select chess puzzles to maximize rating!
We'll discuss martingales, use interesting properties of them, and solve the tricky Gambler's ruin problem associated with asymmetric probabilities, and even asymmetric step sizes.
We'll even see an interesting method to construct arbitrary Martingales, and how to apply it!

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