You randomly choose a sock from a drawer of 8 black socks, 10 white socks, 12 blue socks, and 6 green socks. Then, without replacing the sock, you randomly choose a second sock. Find the probability that you choose 2 blue socks?

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Answer 1 · 2018-05-17T04:27:55

$0.105$ $0.105$

Add all the socks in the drawer to get a denominator
$12$ $12$ blue socks can be picked out of the $36$ $36$ total socks, so $\frac{12}{36}$ $12/36$
Then you take away one sock from the top and bottom, so you now have $\frac{11}{35}$ $11/35$
Multiply the two numerators ( $12$ $12$ and $11$ $11$ ), then multiply the denominators ( $36$ $36$ and $35$ $35$ ), then divide the numerator by the denominator, $\frac{132}{1260}$ $132/1260$ , to get your answer.