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Question

Two dice are tossed. The probability that the total score is a prime number is


A

16

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B

512

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C

12

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D

None of these

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Solution

The correct option is B

512


Find the probability of the mentioned situation:

If the two dice rolled simultaneously, then the size of the sample space=36

Let A be the event of the total score is a prime number

Now, the size of the event A={(1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)} =15

So, the probability of getting a total score which is a prime number=numberoffavourableoutcomesnumberoftotaloutcomes=1536=512

Hence, the correct option is (B).


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