Judith has a penny, nickel, dime, and quarter in her pocket. So does Joe. They both reach into their pockets and choose a coin. Let X be the greater (in cents) of the two.
(a) Construct a sample space and describe the events {X = k} for k = 1, 5, 10, 25.
(b) Assume that coin selections are equally likely. Find the probabilities for each of the aforementioned four events.
(c) What is the probability that Judith’s coin is worth more than Joe’s? (It is not 1/2.)