# Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 15"

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## Revision as of 13:36, 30 September 2011

## Problem

Let be the set of integers . An element (in) is chosen at random. Let denote the sum of the digits of . The probability that is divisible by 11 is where and are relatively prime positive integers. Compute the last 3 digits of

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*