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* 1. When flipping a fair coin, we say that “the probability of flipping Heads is 0.5.” How do you interpret this probability?

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* 2. An election is coming up and a pollster claims that candidate A has a 0.9 probability of winning. How do you interpret this probability?

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* 3. Consider two claims. (1) Zuofu claims that he can predict the outcome of a coin flip. To test his claim, you flip a fair coin 10 times and he correctly predicts all 10. (2) Kavya claims that she can distinguish natural and artificial sweeteners. To test her claim, you give her 10 sweetener samples and she correctly identifies each. In light of these experiments, what do you conclude?

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* 4. Suppose that during a recent doctor’s visit, you tested positive for a very rare disease. If you only get to ask the doctor one question, which would it be?

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