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Coloured socks

simon has just washed five paris of differnet coloued socks. he is colour blind, wht is the probability of matching four pairs of socks?
Question asked by: theew11

Asked on: 15 Mar 2010

There are five pairs of socks, and he wants to match four pairs by joining them all back together randomly.

That's a pretty tough question to work out the answer to. You need to work out the chance that the first one will be a pair which is (out of ten socks) 1/5 you start with a pair. Then if that's a pair the chance the second is a pair is 1/4, then 1/3 then 1/2. So to get four pairs from four sets of socks it is 1/5 x 1/4 x 1/3 x 1/2 so no very likely at all at 1/120.

That might not be the right answer as I'm not too sure of probability but that would be my guess!

By: daveyc
Replied at: 16 Mar 2010
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