Question

Your drawer contains 9 black socks and 10 white socks. You randomly choose two socks. Without replacing the first one, what is the probability that you choose 1 white sock, then 1 black sock after? *

Answer 1

10 / 38

Explanation:

Black socks = 9

White = 10

Total = 10 + 9 = 19

Choosibg without replacement :

P(white) = 10 / 19

Second pick:

P(black) = 9 / 18 = 1/ 2

P(white then black) = 10/19 * 1/2 = 10/38