Final answer:
To find the probability of rolling a double, given that the sum was 2 when two fair dice are rolled, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Step-by-step explanation:
To find the probability of rolling a double, given that the sum was 2 when two fair dice are rolled, we need to determine the number of favorable outcomes and the total number of possible outcomes.
When two dice are rolled, there are 36 equally likely outcomes (6 faces on the first die multiplied by 6 faces on the second die).
Out of these, only one outcome results in a sum of 2 and a double, which is rolling a 1 on both dice. Therefore, the number of favorable outcomes is 1.
So, the probability of rolling a double, given that the sum was 2, is 1/36.