NMC 2002 Problem 4
- Answer
Eva, Per and Anna play with their pocket calculators. They choose different integers and check, whether or not they are divisible by 11. They only look at nine-digit numbers consisting of all the digits 1, 2, .., 9. Anna claims that the probability of such a number to be a multiple of 11 is exactly 1/11. Eva has a different opinion: she thinks the probability is less than . Per thinks the probability is more than . Who is correct?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{11}{126}<\frac{1}{11}
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