Question

In: Statistics and Probability

Consider the experiment of rolling two dice and the following events:     A: 'The sum of the...

Consider the experiment of rolling two dice and the following events:

    A: 'The sum of the dice is 8' and  B: 'The first die is an odd number' and C:  "The difference (absolute value) of the dice is 2"

Find  (a)  p(A and B) (HINT: You cannot assume these are independent events.)

       (b)  p(A or B)

        (c)  Are A and B mutually exclusive events? Explain.

(d)   Are A and B independent events? Explain.

(e)   Are B and C independent events? Explain.

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