What is the probability of obtaining 413 or more 16s in 15,000 spins of a European wheel if it is not biased? Is there evidence that this particular wheel is biased? Justify your answer.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Say that you are trying to determine if a given European roulette wheel (total of 37 pockets) is
biased in favor of the number 16.
To do that you collect the outcome of 15,000 spins, and find that 413 of them are 16s.
What is the probability of obtaining 413 or more 16s in 15,000 spins of a European wheel if it is not
biased? Is there evidence that this particular wheel is biased? Justify your answer.
Transcribed Image Text:Say that you are trying to determine if a given European roulette wheel (total of 37 pockets) is biased in favor of the number 16. To do that you collect the outcome of 15,000 spins, and find that 413 of them are 16s. What is the probability of obtaining 413 or more 16s in 15,000 spins of a European wheel if it is not biased? Is there evidence that this particular wheel is biased? Justify your answer.
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