Question

A pair of standard dice is rolled find the probability that the sum of the two dice is greater than 12

Answer 1

Answer:

Probability that the sum of the two dice is greater than 12 is ZERO.

Step-by-step 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.