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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

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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. Construct the sample space for all possible answers for her three questions. Assuming 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 one answer will be yes? Write your answers in exact, simplified form.

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