A fair coin is tossed three times, and the events A and B are defined as follows:
A: {At least one head is observed.}
B: {The number of heads observed is odd.}
a. Identify the sample points in the events A, B, A ⋃ B, Ac, and A ⋂ B.
b. Find P(A),P(B),P(A ⋃ B),P(Ac), and P(A ⋂ B)by summing the probabilities of the appropriate sample points.
c. Use the additive rule to find P(A ⋃ B). Compare your answer with the one you obtained in part b.
d. Are the events A and B mutually exclusive? Why?
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