# 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)

• Brandon

Very fun calculator. It looks like for decks with 13 or more ranks you calculate the number of straights where the Ace can be used as a low card (A,2,3,4,5). But in other decks this is not accounted for. Is this correct?

BTW I have found this calculator very useful and entertaining.

• yep, just the other way around.

purely my thoughts when I was making this;

A,2,3,4,5 always makes sense and with 13 ranks a King to Ace is normal, at the time I couldn’t image a Jack to Ace or Queen to Ace in a 11 and 12 rank deck being the norm.
Though thinking about it now, I probably should have left it in, as it is all theoretical anyway.

• BJ

looking for poker hand probabilty using a pinochle deck. can your calculator do that? i have tried 4*2 in suits and 6*2 in ranks but to no avail. dont know how else to put those numbers in to get accurate probabilites.