Like I said in a different comment, OP needs to do this analysis himself (and explain all of the particulars of his proof, such as the q being lowercase). I was only demonstrating that it's statistically unlikely not statistically impossible. If this is a research site we need to hold our analysts accountable when gaps are found and those gaps need to be addressed without slinging mud or down voting.
Like I said in a different comment, OP needs to do this analysis himself (and explain all of the particulars of his proof, such as the q being lowercase). I was only demonstrating that it's statistically unlikely not statistically impossible. If this is a research site we need to hold our analysts accountable when gaps are found and those gaps need to be addressed without slinging mud or down voting.