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Question

Two dice are thrown simultaneously. What is the probability that the sum of numbers coming up on the dice is divisible by 4?

A
1/2
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B
1/4
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C
1/8
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D
1/9
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Solution

The correct option is B 1/4

Total number of possibilities = {(1,1),(1,2),(1,3)...........(6,4),(6,5),(6,6)} = 36 outcomes

Number of favourable outcomes = {(1,3),(2,2),(2,6),(3,1)(3,5),(4,4),(5,3),(6,2),(6,6)} = 9 outcomes

Thus, the probability = 9/36 = ¼


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