I started writing a new draft titled "Bertrand's Ballot Problem" and would love to get your feedback. I plan on publishing it on the 17th. It's still quite rough (and I haven't made the figures yet), but I thought I'd share it now, given that August 17th is only a week away. I'll probably update it now and then during the week ahead. I'm hoping to learn Omnigraffle by using it to prepare the eight illustrations. Are any of you Omnigraffle users, and hence potentially available to offer me assistance if I have an "Oh Mister Wizard! Mister Wizard!" moment? Suggestions for references, and comments of all kinds, are welcome. Note that all comments submitted through Wordpress will be relayed to me anonymously. If you want me acknowledge your contribution, or if you think I might have a question for you in response to your comment, please sign your comment, or else comment by email. Please leave your feedback here: https://mathenchant.wordpress.com?p=879&shareadraft=57a549f09f22d Title: Bertrand's Ballot Problem Beginning: An early lead in an election doesn't necessarily mean much. Remember Republican presidential candidate Rudy Giuliani? Back in 2008, the outspoken New Yorker polled so well that some pundits predicted he'd win the nomination, but his lead fizzled out before the convention. The same thing has happened... Read more: https://mathenchant.wordpress.com?p=879&shareadraft=57a549f0 9f22d Thanks, jamespropp