Question:    What are the odds of being dealt a Royal Flush in Caribbean Stud Poker?

Answer:    The odds of being dealt a "natural" Royal Flush in Caribbean Stud Poker is 1 in 649,740.  You can round it up to, roughly, 650,000. For all of you, who know some math, this is how I make my calculation: Any of 20 cards from the 52-card deck will be okay for your first card. Then you have 4 chances in 51 to make your second card, 3 in 50 to make your third card, and so on. Note that you will hit a Royal much more frequently on the video poker machine since you have the opportunity to discard and draw cards. You don't need to be dealt the Royal on your first five cards.