Question

6. A sock drawer contains 4 green socks and 8 blue socks. You're trying to

get a pair, so you reach in and randomly grab one sock, and without
replacement, you grab a second sock. What is the probability that both
socks grabbed are green? ​

Answer 1

0.0909 = 9.09%

Explanation:

Initially we have a total of 12 socks, where 4 are green, so the probability of grabbing a green socks is 4/12.

Then, as there is no replacement, we have 11 socks, where 3 are green, so the probability of grabbing again a green socks is 3/11

So the probability of both socks being green is:

P = (4/12) * (3/11) = 1/11 = 0.0909 = 9.09%