Concept explainers
Sara came across a new website that featured a “live” fortune-teller. She typed in three questions and found (shockingly) that the fortune-teller could only answer yes or no to her questions. Draw a tree diagram for all possible answers for her three questions. Assuming that this spooky fortune-teller is actually just choosing the responses at random, find the probability that
(a) All answers will be yes or all answers will be no.
(b) The answers will alternate (i.e., Yes-No-Yes or No Yes No).
(c) Exactly two answers will be yes.
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