Poker hands probability calculator for any number of suits and ranks (denominations)

After purchasing a 5 suited deck of cards and an 8 suited deck of cards, I decided to work out how the numbers of suits affect the probabilities of each poker hand.

Further, the following can calculate combinations and probabilities for any number of suits and any number of ranks (number of denominations).

You will notice;

  • at 5 suits a Flush overtakes a Full House,
  • at 6 suits a Flush overtakes a Four of a Kind, and
  • at 13 suits a Flush overtakes a Five of a Kind.

If you don’t believe the numbers, you are more than welcome to add them up and email me.

(thanks to CodeCogs for there LaTeX Engine)