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On his drive to work, Leo listens to one of three radio [#permalink]
11 Oct 2007, 08:40
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On his drive to work, Leo listens to one of three radio stations: A, B, or C. He first turns to A. If A plays a song he likes, he listens to it. If not, he turns to B. If B is playing a song he likes, he listens to it. If not, he turns to C. If C is playing a song he likes, he listens to it. If not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Tune to A and likes what he is hearing = 0.3
Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.7 * 0.3 = 0.21
Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program = 0.7^2 * 0.3 = 0.147