Homework Clinic
Mathematics Clinic => Statistics => Topic started by: luminitza on Apr 14, 2020
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Jody flips a coin ten times and observes the outcome of heads three times. Yvonne flips a coin one hundred times and observes the outcome of heads forty-eight times. Jody states that his coin must not be fair because so few heads were observed. Pretend you are Yvonne and explain to Jody why his results do not indicate that he has an unfair coin by explaining to him what the Law of Large Numbers is, and how it justifies the results that were observed in both experiments.
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The LLN states that if an experiment with a random outcome is repeated a large number of times, the empirical probability is likely to be close to the true (theoretical) probability. A pattern of heads in the short run (like ten trials) can be highly variable, but the more trials that are conducted the closer the empirical probability will tend to approach the theoretical probability. Yvonne did ten times as many trials as Jody and observed an empirical probability that is much closer to the theoretical probability of one half.
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thank you