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If proofreader finds mistakes and proofreader finds mistakes, of which were also found by , how many mistakes were missed by both and ? Assume there are a total of mistakes, so proofreader finds a fraction of all mistakes, and also a fraction of the mistakes found by . Assuming these fractions are the same, then solving for gives
The number of mistakes missed by both is therefore approximately
REFERENCES:
Pólya, G. "Probabilities in Proofreading." Amer. Math. Monthly, 83, 42, 1976.
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