If two fair dice are rolled find the probability of the foll

If two fair dice are rolled, find the probability of the following result. A double, given that the sum was 11. The probability [ ] is . (Type an integer or a simplified fraction.)

Solution

When two fair die are rolled, there are 36 outcomes.

A double is possible only when these are there

(1,1) (2,2)...(6,6)

The sum cannot be odd at all as sum is even

Hence P(11 and double) = impossible = 0