# Question: A pair of fair dice is tossed Define the following

A pair of fair dice is tossed. Define the following events:

A: {You will roll a 7 (i.e., the sum of the numbers of dots on the upper faces of the two dice is equal to 7).}

B: {At least one of the two dice is showing a 4.}

a. Identify the sample points in the events A, B, A B, A B, and Ac.

b. Find P(A), P(B), P(A B), P(A B), and P(Ac) and by summing the probabilities of the appropriate sample points.

c. Use the additive rule to find P(A B) . Compare your answer with that for the same event in part b.

d. Are A and B mutually exclusive? Why?

A: {You will roll a 7 (i.e., the sum of the numbers of dots on the upper faces of the two dice is equal to 7).}

B: {At least one of the two dice is showing a 4.}

a. Identify the sample points in the events A, B, A B, A B, and Ac.

b. Find P(A), P(B), P(A B), P(A B), and P(Ac) and by summing the probabilities of the appropriate sample points.

c. Use the additive rule to find P(A B) . Compare your answer with that for the same event in part b.

d. Are A and B mutually exclusive? Why?

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