A CD player has a magazine that holds six CDs. The machine is capable of randoml

Question

A CD player has a magazine that holds six CDs. The machine is capable of randomly selecting a CD and then selecting a song randomly from that CD. Suppose that five CDs are albums by Paul McCartney and one is by Billy Joel. (a) The player selects songs until a song by Billy Joel is played after which the machine is turned off. Find the probability that the machine is turned off after at least five songs have been played. (b) 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.

Explanation / Answer

a) at least five songs have been played.

equivalent to all possible outcomes after having paul mccartney play 4 times. ---- (5/6)^4=0.4822

b) the probability that at most four songs are played

1- (5/6)^4 = 0.5178

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