Suppose there are 10 different pairs of socks in a drawer. In other words, there are 20 singleton socks in total in the drawer. I randomly pick 2 socks out from the drawer. What is the probability that the 2 socks that I picked out is a matching pair?
My answer to this question is 1/2. But I am not sure if what I have done is correct because 1/2 seems quite unbelievable.

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i'm assuming that every pair of socks is different

There are 20 socks in there, all of which are equally likely. How could it be only 1/19?

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