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Video Poker Cycle The statistically predicted average number of hands per royal flush. In other words, a "cycle" is simply the reciprocal of the probability of a royal on the next hand. Remember that the games are random, however, so don't expect to get exactly one royal flush per "Video Poker Cycle." The Poisson Distribution tells us that there is only a 63.2% probability of at least one royal in one Video Poker Cycle, but this balanced by the chances of two or more royals in one cycle. The mathematical probability of getting any paying hand over a period of time. For example, a Royal Flush in Jacks or Better 9/6 full pay should occur once every 40,390.55 hands.Remembering that the games are random, it is possible to achieve no royals in one Video Poker Cycle and two on the next. The Poisson Distribution tells us that there is only a 63.2% probability of at least one royal flush in one cycle, but this is balanced by the chances of two or more royals in one cycle.