SOLUTION: 7 white socks and 23 black socks are in a bag. If 2 socks are drawn at random, what is the probability that both socks are the same color? Give answer as a fraction reduced to low

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Question 256037: 7 white socks and 23 black socks are in a bag. If 2 socks are drawn at random, what is the probability that both socks are the same color?
Give answer as a fraction reduced to lowest terms.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=combination of n things taken r at a time.
(7C1*23C1)/30C2 Prob of drawing one of each.
=(7*23)/435=161/435
1-161/435=274/435 Probability of drawing 2 of the same color.
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Ed