We need to find the probability of rolling doubles given that the sum on the two dice is less than 6.
First, we need to find the total number of outcomes when two dice are rolled. Each die has 6 possible outcomes, so the total number of outcomes is 6 x 6 = 36[1].
Next, we need to find the number of outcomes where the sum of the two dice is less than 6. These outcomes are (1,1), (1,2), (2,1), (1,3), (3,1), and (2,2), for a total of 6 outcomes[2].
Out of these 6 outcomes, only one outcome is doubles, which is (2,2). Therefore, the probability of rolling doubles given that the sum on the two dice is less than 6 is 1/6[2].
Therefore, the probability of rolling doubles given that the sum on the two dice is less than 6 is 1/6.