A fair coin is tossed three times. a. List all possible outcomes in the sample

A fair coin is tossed three times. a. List all possible outcomes in the sample space. Find the probability associated with each outcome. b. Let A be the event “exactly 3 heads.” Find P ( A ). c. Let B be the event “at most 2 heads.” Find P ( B ). d. Let C be the event “at least 2 heads.” Find P ( C ). e. Are the events A and B mutually exclusive? Find P ( A or B ). f. Are the events A and C mutually exclusive? Find P ( A or C ).

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