In a contest, a bowl contains 12 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize?	Choose the correct option:
A) 1/11 B) 1/12 C) 1/6 D) 11/120 E) 2/11
P(not winning) = 11/12*10/11 = 5/6   P(winning) = 1 - 5/6 = 1/6   The answer is 1/6.
<result>C</result>
In a contest, a bowl contains 12 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize?