olymmath

USAMO 1972 Problem 3

  • Day 1
  • Answer

n\mathrm{n} digits, none of them 0 , are randomly (and independently) generated, find the probability that their product is divisible by 10 .

Dataset text NuminaMath olympiads. Quoted with source.

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1-(8 / 9)^{n}-(2 / 9)^{n}+(4 / 9)^{n}

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