Problem 1. Odd One Out Consider a game played with n 2 3 people that goes as follows: each person flips a fair coin. If exactly one person's coin comes up different from all the others, then that person is the winner. If there is no winner, then play the game again and again, until a winner is finally determined. 60Find the probability that a winner is determined the first time the game is played. b) 60 0 Fix an integer k 2 1. Find the probability that a winner is determined on the kth time the game is played