Question

Your drawer contains 6 black socks and 8 white socks. You randomly choose one sock, put it on, and then choose another sock. What is the probability that both socks are black?

Answer 1

There are 14 total socks so the probability that you would choose the first black sock is 6/14 or 3/7. For the second sock since one would be removed there would be 13 total and 5 black socks so the probability would be 5/13. To get the probability for both multiply 6/14 and 5/13 to get 30/182 or 15/91 simplified. Hope this helps!