Question: Please help me with this problem: Consider the experiment of rolling two dice and the following events: A: 'The sum of the dice is 8'andB:

Please help me with this problem:

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

A: 'The sum of the dice is 8'andB: 'The first die is an even number'andC:"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.

Are B and C independent events? Explain.

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