I play three card, Caribbean stud, and four card poker at machine shuffled tables. I am amazed the number of times a playable three-card hand frequently is dealt in a four card game, and a playable four-card hand is dealt in a Caribbean stud game. It makes me wonder if those shuffling machines aren’t pre-programmed to the house’s advantaged. Are these machines really random or are they programmed for the house, and if programmed, isn’t that illegal?
I strongly believe the makers of the shuffling machines at least attempt to make the shufflers as fair and random as possible. A deliberately gaffed machine I’m sure would violate Nevada law. It is fairly easy to see good x-card hands in x+1 cards. For example the probability of a three of a kind in three cards is 0.235%, and in four cards 0.922%, or almost four times higher.