A box contains 3 tickets. One of the tickets is for a basketball game, another for a football game and the third ticket is fake. A trio of people called 1, 2, and 3 are drawing lots from it to decide who gets to go to the games. All of them choose a ticket each from the box without looking at it and draw them simultaneously. (a) Find the joint PMF that describes the probabilities for each pair of people going to the games. (b) Find the marginal PMFs that describe going to the football game and the basketball game using the joint PMF. Are these independent? Why or why not