In between the royal flushes your bankroll is slowly going up or slowly going down. If your live casino playing sessions are four hour long, it would take 20 sessions, on average, before you saw your next royal flush. If you played at a rate of 500 hands per hour, you would see one royal flush every 80 hours of play – on average. The royal flush occurs, on average, once every 40,000 hands or so. The only high paying, low frequency hand in almost all of these games is the royal flush. That fact is true for all of these low variance games. As you recall, the reason for low variance is a small number of large paying but infrequent winning hands.
