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).