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Quantitative Methods for guessing a flat tire

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Four students riding to school together offer the excuse of a flat tire on their car for missing a test. On the makeup test, the professor asks the students to each identify the tire that went flat. If they really didn't have a flat tire and randomly select one that supposedly went flat is the probability that they all select the same tire equal to (1/4)(1/4)(1/4)(1/4) and how might we validate or deduce the answer?

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The solution identifies a way to deduce or validate a game of guessing a flat tire.

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Since each of the four students ...

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