Question

There are 11 clean individual socks in your sock drawer. There is only one matching pair among them. In the dark, you reach into the drawer and randomly pick 2 socks. What is the probability that you choose the matching pair? Write your answer as a fraction in simplest form.

Answer 1

first one you must pick the one of the two in the 11
2/11
the second pick you must pick the right one of the teen remaining
1/10
they are independent picks
so
2/11 * 1/ 10 = 2/100 = 1/????

Answer 2

first one you must pick the one of the two in the 11
2/11
the second pick you must pick the right one of the teen remaining
1/10
they are independent picks
so
2/11 * 1/ 10 = 0.181818182 or 1/55