27 : Catching the Cautious Counterfeiter | Ace Quant | Probability Theory

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50 Challenging Problems - by Frederick Mosteller
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Question 27 :
a) The king’s minter boxes his coins 100 to a box. In each box he puts 1 false coin. The king suspects the minter and from each of 100 boxes draws a random coin and has it tested. What is the chance the pinter’s peculations go undetected?
b) What if both 100’s are replaced by n?
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