2023 Fall LMT Speed p12 - flipping a weighted coin
Source:
March 2, 2024
combinatorics
Problem Statement
Sam and Jonathan play a game where they take turns flipping a weighted coin, and the game ends when one of them wins. The coin has a chance of landing heads and a chance of landing tails. Sam wins when he flips heads, and Jonathan wins when he flips tails. Find the probability that Samwins, given that he takes the first turn.Proposed by Samuel Tsui