These questions pertain to Examplc 1.20 where Peter and Mary take turns rolling a fair die. To answer the questions, be precise about the definitions of your events and their probabilities. (a) As in Example 1.20, suppose Peter takes the first roll. What is the probability that Mary wins and her last roll is a six?
(b) Suppose Mary takes the first roll: What is the probability that Mary wins?
(c) What is the probability that the game lasts an even number of rolls?