Answer:
Probability that the sum of the two dice is greater than 12 is ZERO.
Explanation:
Here, when two dices are rolled together, the sample space is given as:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)
(6, 1), (6, 2), (6, 3), (6, 4),(6,5), (6,6) = Total 36 outcomes
Now, E : Event of getting a sum greater than 12.
So here, number of possible outcomes = 0
So, the probability that the sum of the two dice is greater than 12 = 0/36 = 0
So, it is an IMPOSSIBLE EVENT.