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

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Director
Joined: 17 Oct 2005
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What is the probability that 2 socks chosen from 5 pairs of [#permalink]  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?
Manager
Joined: 23 Jan 2006
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2c10 = 45 possible pairs of socks

5 matching pairs.

5/45 = 1/9
Manager
Joined: 13 Dec 2005
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Location: Milwaukee,WI
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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
VP
Joined: 21 Sep 2003
Posts: 1065
Location: USA
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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

_________________

"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

VP
Joined: 06 Jun 2004
Posts: 1059
Location: CA
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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!
_________________

Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

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