Puzzle #123: Six Sheets to the Breeze?

While on a walk, you found some pages from a small booklet. You recognise the source and know that the booklet consists of 32 pages numbered from 1 to 32 in that order. You found six of the sixteen sheets. What is the probability that at least one page’s page number on the pages that you found is prime?

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, October 14, 2015 at noon Pacific Time. I will post the answer shortly after.