A pair of fair dice is tossed. Define the following events:
A: {You will roll a7 (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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