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Suppose that you roll two dice. What is the probability that the two dice are equal...

Suppose that you roll two dice. What is the probability that the two dice are equal or differ by at most one?

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Answer #1

Let us first get the sample of two rolling dice

Now P(equal)=6/36=0.1667

P(at most one)=16/36=0.4444

Now P(equal and at most one)=6/36

So P(equal or at most one)=P(equal)+P(at most one)-P(equal and at most one))=0.1667+0.4444-0.1667=0.4444

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