Problem of the Week

This is the last problem of the fall semester. The Problem of the Week will return for the spring semester. Hope to hear from everyone then.

What is the probability that the sum of three integers, each between 1 and 999, yields no "carry"?

For the more adventurous: What happens if you allow the three integers to be each between 1 and 10ⁿ-1?

You are visitor number 4036 to this page.