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# On his drive to work, Leo listens one of three radio station

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On his drive to work, Leo listens one of three radio station [#permalink]  12 Jan 2009, 05:22
On his drive to work, Leo listens one of three radio station A, B and C. He first tunes to A. If A is playing 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 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?

A. 0.027
B. 0.090
C. 0.417
D. 0.657
E. 0.900
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Joined: 12 Aug 2008
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Re: GMATPrep - Probability [#permalink]  12 Jan 2009, 09:52
The probability that Leo will hear a song he likes = 1 - the probability that he will not hear any song.

Thus,

1 - (0.7*0.7*0.7)

= 0.657
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Re: GMATPrep - Probability [#permalink]  13 Jan 2009, 16:39
I agree w/ Sid...0.657
Re: GMATPrep - Probability   [#permalink] 13 Jan 2009, 16:39
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