1. Players A and B take turns (player A starts rst) in tossing coins which have proba bilities pA and p3 respectively of coming up H. Game ends on the rst turn on which one of the players tosses H. Write down the sequence of outcomes in which B wins the game, and nd their probabilities. What is the chance that player B wins? Do the same for outcomes in which A wins the game. What is the chance that player A wins? Find the probability distribution of the number of turns until the game ends when B wins, and the same for the number of turns until game ends when A wins. What is the expected number of tosses until the game ends