A magician has a coin that he says (hypothesizes) has heads on both sides, but he’s unwilling to show you both sides. To convince you, he flips it three times and gets heads each time. Do you believe that the coin has two heads? What if he gets heads 10 times in a row? 100 times? What would it take (by coin flip) to prove that the coin does not have two heads? With this example, explain the difference between having relative confidence in the truth of a hypothesis, proving it to be true, and proving it to be false

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A magician has a coin that he says (hypothesizes) has heads on both sides, but he’s unwilling to show you both sides. To convince you, he flips it three times and gets heads each time. Do you believe that the coin has two heads? What if he gets heads 10 times in a row? 100 times? What would it take (by coin flip) to prove that the coin does not have two heads? With this example, explain the difference between having relative confidence in the truth of a hypothesis, proving it to be true, and proving it to be false

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