A child gets a half dollar from the Tooth Fairy for losing a tooth, and the child excitedly begins tossing the coin, noticing that it lands heads-up the first 6 times they toss it. The child exclaims that the coin must be either magic or somehow weighted because it didn't land tails up for half of the tosses. Explain, with an argument rooted in the Law of Large Numbers, whether the child is right to conclude that the coin is magic or unfairly weighted.

A child gets a half dollar from the Tooth Fairy for losing a tooth, and the child excitedly begins tossing the coin, noticing that it lands heads-up the first 6 times they toss it. The child exclaims that the coin must be either magic or somehow weighted because it didn't land tails up for half of the tosses. Explain, with an argument rooted in the Law of Large Numbers, whether the child is right to conclude that the coin is magic or unfairly weighted.

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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