Question

A CD player has a magazine that holds six CDs. The machine is capable of randomly selecting
a CD at random and then selecting a song randomly from that CD. Suppose that five CDs are
albums by Paul McCartney and one is by Billy Joel. The player selects songs until a song by
Billy Joel is played after which the machine is turned off. Give the probability that the machine
is turned off after
a. The sixth song.
b. At least five songs have been played.
c. Suppose now that the songs continue to be played until the second song by Billy Joel has been
played. Find the probability that at most four songs are played.

Answer 1