Five friends share a pizza and decide to flip coins to determine who will pay. Each ofthe five will flip a fair coin and if there are four heads and one tail then the personwith one tail will pay the bill. If there are four tails and one head then the personwith one head will pay the bill. If the five flips produce any other result then the fivefriends will all flip again. They will continue to do so until there is a round with oneperson having a different result than the other four. What is the probability that