Has a Royal Flush Ever Happened?
The Probability of Being Dealt a Royal Flush Is the Number of Royal Flushes Divided by the Total Number of Poker Hands. We Now Carry out the Division and See...
The probability of being dealt a royal flush is the number of royal flushes divided by the total number of poker hands. We now carry out the division and see that a royal flush is rare indeed. There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt this hand.
How likely is a royal flush?
The chances of getting a specific royal flush are 1 in 2,598,960 hands. You're five times more likely to get struck by lightning than get the same hand twice! In Hold 'Em, each player potentially has seven cards (the two cards in your hand and the five community cards) with which to hit the elusive royal.
What happens if there are two royal flushes?
Note that when there are 2 royal flushes, there can be no tie breaker whatsoever. Apart from this, if there are 2 royal flushes, the pot is split between the two. The odds of this happening are extremely rare. Moreover, the board requires three cards of the same suit for there to be 2 royal flushes.