Problem #WSP-000409

Problems Probability and statistics

Problem

David and Eesa are playing a game with tossing a coin. They toss a fair coin until the first time that one of the following two sequences appears: \(HHH\) or \(THH\). If \(HHH\) appears first, then David wins. Otherwise, if \(THH\) appears first, then Eesa wins.

What are their chances of winning?