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Question

Mathematics Question on Probability

The probability of getting a sum of 8, when two dice are thrown simultaneously, is :

A

112\frac{1}{12}

B

19\frac{1}{9}

C

16\frac{1}{6}

D

536\frac{5}{36}

Answer

536\frac{5}{36}

Explanation

Solution

The possible pairs that result in a sum of 8 are:
(2,6),(3,5),(4,4),(5,3),(6,2)(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)
There are 5 such outcomes. Total outcomes when two dice are thrown is 6×6=366 \times 6 = 36. Therefore, the probability is:
P=536P = \frac{5}{36}