MathDB

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

{1/11}

. Per thinks the probability is more than

{1/11}

. Who is correct?

Problem Statement