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What is the probability that 2 socks chosen from 5 pairs of

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What is the probability that 2 socks chosen from 5 pairs of [#permalink] New post 25 Apr 2006, 10:20
What is the probability that 2 socks chosen from 5 pairs of different socks at random is exactly one pair?
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 [#permalink] New post 25 Apr 2006, 10:39
2c10 = 45 possible pairs of socks

5 matching pairs.

5/45 = 1/9
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 [#permalink] New post 25 Apr 2006, 10:47
or you can also think this way 5 pairs = 10 socks

probablity of taking first one out 1 (because it can be from any pair)
probablity of taking the second one out which matches the first is 1/9

so the probablity is 1 * (1/9) = 1/9
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 [#permalink] New post 25 Apr 2006, 11:31
ipc302 wrote:
or you can also think this way 5 pairs = 10 socks

probablity of taking first one out 1 (because it can be from any pair)
probablity of taking the second one out which matches the first is 1/9

so the probablity is 1 * (1/9) = 1/9
:good
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 [#permalink] New post 28 Apr 2006, 23:31
ipc302 wrote:
or you can also think this way 5 pairs = 10 socks

probablity of taking first one out 1 (because it can be from any pair)
probablity of taking the second one out which matches the first is 1/9

so the probablity is 1 * (1/9) = 1/9


Late but this is how I solved it! :wink:
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  [#permalink] 28 Apr 2006, 23:31
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