SOLUTION: seven white socks and four black socks are in a drawer. two socks are drawn at random, with neither being replaced in a drawer. what is the probability that the two socks are the s

Question 252442: seven white socks and four black socks are in a drawer. two socks are drawn at random, with neither being replaced in a drawer. what is the probability that the two socks are the same color ?
a 21/110 b 27/55 c 1/2 d 4/7 e 7/11
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Given, seven white socks and four black socks are in a drawer. Total 11 socks.
Two are selected at random.
Number of ways of selection = 11C2 = 11*10/2 = 55
Out of 7 white socks 2 white socks can be selected in 7C2 ways.
Out of 4 black socks 2 black socks can be selected in 4C2 ways.
Total number of ways of selecting the same colour = 7C2+4C2 = 7*6/2 + 4*3/2
= 27
Probability of getting both socks of same colour = 27/55
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