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

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Intern
Joined: 25 Dec 2008
Posts: 41
On his drive to work, Leo listens one of three radio station [#permalink]

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12 Jan 2009, 06:22
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Manager
Joined: 12 Aug 2008
Posts: 61

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12 Jan 2009, 10:52
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
Intern
Joined: 08 Jan 2009
Posts: 12

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13 Jan 2009, 17:39
I agree w/ Sid...0.657
Re: GMATPrep - Probability   [#permalink] 13 Jan 2009, 17:39
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# On his drive to work, Leo listens one of three radio station

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