You have 6 pairs of socks in the dryer. Only one pair is black You randomly choose two of the socks. What is the probability that you got both of the black socks?

My work:
Since there are 6 pairs:
6x2 = 12 socks in total.
probability of getting the first sock that is black is 2/12, or 1/6. The second sock is 1/11 since one sock got re-moved. So 1/6 + 1/11 = 17/66 chance to get both socks.

It’s a multiple choice question and the choices are :

A.) 1/6
B.) 1/30
C.) 1/66
D.) 1/11

All not what I got, can somebody check my work? Appreciate all help!