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Question

Find the probability of getting a multiple of 3 on one die and multiple of 2 on the other die when two dice are thrown simultaneously?


A

13/36

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B

11/36

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C

7/36

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D

5/9

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E

None of these

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Solution

The correct option is B

11/36


Let X be required events and S be the sample space.

then X = {(2,3),(2,6),(4,3),(4,6),(6,3),(6,6),(3,2),(6,2),(3,4),(6,4),(3,6)}

n(X) = 11, n(S) =36

Hence, required probability =n(X)n(S) = 1136


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