SOLUTION: There are 5 pairs of socks in a drawer. 2 Blue pairs, 2 Black pairs and one gray pair. The socks are not folded together. If you randomly pick two socks, what is the probability th
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Question 248725: There are 5 pairs of socks in a drawer. 2 Blue pairs, 2 Black pairs and one gray pair. The socks are not folded together. If you randomly pick two socks, what is the probability that you will pick a matched pair? that you will pick a gray pair? Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! nCr=n!/((n-r)!r!)
There are 10 socks.
.
Pick a gray pair:
2C2 / 10C2 = 1/45
.
4C2 / 10C2 = 6/45 blue pair or black pair
.
Any pair: 6/45 + 6/45 + 1/45
=13/45
.
Ed