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# What is the probability that a man and woman selected at

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VP
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What is the probability that a man and woman selected at [#permalink]

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04 Jan 2006, 02:35
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What is the probability that a man and woman selected at random amongst 4 married couples happen to be married to each other?
A) 1/16
B) 1/4
C) 4C2/16C2
D) 4/16C2

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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

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CEO
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04 Jan 2006, 02:55
I think its B.

Total number of possibilities = 4C1 * 4C1 = 16

Possibilities when both selected are couple = 4

So Prob = 4/16 = 1/4
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Director
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04 Jan 2006, 03:48
Agreed

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04 Jan 2006, 05:49
The only way a man and woman are married to each other is by picking a couple. The probablity would be 1/4.

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Director
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07 Jan 2006, 00:44
Would go for B.
Prob of selecting a man is 1/4 and his wife would be 1
so 1/4*1=1/4

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Intern
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08 Jan 2006, 17:07
B

Number of ways you can choose a man = 4
Number of ways you can choose a woman = 4
Total number of ways to choose a couple = 4x4 = 16
Number of ways to choose a married couple = 4

Therefore, probability of choosing a married couple = 4/16 = 1/4
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VP
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08 Jan 2006, 17:42
Looks like all of you have the same answer. I also concur.

I don't have the OA. But it should be "1/4"
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Kudos [?]: 82 [0], given: 0

08 Jan 2006, 17:42
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