Consider a deck of 52 cards with 13 hearts, 13 spades, 13 clubs, and 13 diamonds and assume that a card is drawn at random. Define a random variable X to be 1 if a heart is drawn, 2 if a spade is drawn, and 3 if either a club or a diamond is drawn.
a) List the values of X and their probabilities.
b) What is the probability that X is greater than 1?
c) What is the probability that X is either 1 or 3?