Kyle and Lygia are going to play a series of Trivial Pursuit games. The first person to win four games will be declared the winner. Suppose that outcomes of successive games are independent and that the probability of Lygia winning any particular game is .6. Define a random variable x as the number of games played in the series.
a. What is p(4)?
b. What is p(5)?
c. Determine the probability distribution of x.
d. On average, how many games will the series last?