Recently, I made an error in the solution for a weekly puzzle. Since it is possible to create a puzzle from just about any premise, I am going to use that!

Suppose that, for each puzzle, there is a 99% chance that I have a correct solution. In a ten-week period, I might make no errors at all, and it is doubtful that I will make as many as three.

What is the probability (to the nearest tenth of one percent) that I will make an error in the solution for exactly one or two of the puzzles in a ten-week period?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. **The deadline is Wednesday, June 29, 2016 at noon Pacific Time.** I will post the answer shortly after.