You want to find the probability of rolling a sum of 11 on t

You want to find the probability of rolling a sum of 11 on two dice and then rolling a sum of 11 on the next roll. Tell whether these events are independent or dependent.

Calculate the probability

Solution

Total possible outcome = 6^2 = 36

Total possible outcome for a sum of 11 = 2 [(6, 5), (5, 6)]

Probability of rolling a sum of 11 = favorable outcome/total outcome

P = 2/36 = 1/18

These two events are independent, since outcome of a sum of 11 in first roll has no effect on the next roll.