A pair of dice are tossed What is the probability that doubl

A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on the two dice is less than 12? (Round your answer to three decimal places.)

Solution

The pairs with sum less than 12 is 21.

Now, the number of doubles in that set is 5.

Thus the required probability is 5/21=0.238