A month or so ago I answered the Question of the Day for the Las Vegas Advisor and I answered it in terms of the Binomial Distribution. There were some comments posted after that QOD indicating that people wanted to know more about it. This is a lightly edited version of a 2012 article that I published should be sufficient to respond to those questions.
I receive a lot of mail asking such questions as, “If I am dealt four cards to the royal flush (such as A♥ K♥ Q♥ T♥) and I am playing Fifty Play, how many royals will I usually end up getting?” or, “I played more than 200,000 hands of Jacks or Better and only received three royal flushes. How unlucky was this?”
Continue reading Two Simple Applications of the Binomial Distribution