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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] New post 04 Jan 2006, 01:35
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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

Please explain your answer.
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 [#permalink] New post 04 Jan 2006, 01:55
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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 [#permalink] New post 04 Jan 2006, 02:48
:) Agreed
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 [#permalink] New post 04 Jan 2006, 04:49
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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 [#permalink] New post 06 Jan 2006, 23:44
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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 [#permalink] New post 08 Jan 2006, 16:07
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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 [#permalink] New post 08 Jan 2006, 16:42
Looks like all of you have the same answer. I also concur.

I don't have the OA. But it should be "1/4"
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  [#permalink] 08 Jan 2006, 16:42
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