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

Algebra ->  Probability-and-statistics -> 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      Log On


   



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) About Me  (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