Two fair dice are rolled twice.Find the probability of getting a total of 6 on one of the rolls and a total of 11 on the other one.
E) none of the above

Question

Quizplus · Accepted Answer

To get a total of 6 on one of the rolls, there are four possible outcomes: (1,5), (2,4), (3,3), (4,2), (5,1). 
To get a total of 11 on the other roll, there are two possible outcomes: (5,6), (6,5).
The probability of the first roll being a total of 6 is 5/36 and the probability of the second roll being a total of 11 is 2/36. Since the two events are independent, we multiply their probabilities: 
5/36 * 2/36 = 10/1296 
Therefore, the correct answer is B.

Two Fair Dice Are Rolled Twice