Question

a sock drawer has 6 white socks, 6 brown socks, and 4 black socks. you randomly pick 2 socks and get a matching pair of black socks. what is the probability of this occurring

Answer 1

1/20

Explanation:

Remark: Not huge

Total number of Socks: 6 + 6 + 4 = 16

P(First Black Sock): 4/16 = 1/4

The second Sock needs to be discussed a bit. The number of black socks has gone down to 1 and the total will always go down by 1.

Second Sock: 3 Black / 15 Total = 3/15 = 1/5

Combined Probability: 1/4 * 1/5 = 1/20