I recently purchased a 5 Dimension (5D) deck of playing cards from Canada for $5 (plus $5 shipping to Australia). Unlike a normal deck, the 5D deck has an extra suit, the star, plus a numeric 1 card (as opposed to an ace), a princess card and jokers, totalling 80 playing cards.

The cards are standard bridge size 2.25″ x 3.5″ (the thinner width making it easier to hold more cards), with a card width of 0.3 mm. The card material is of quite good quality, with no ruined corners yet.

So how does an extra suite and more denominations affect the probabilities of standard 5 card poker hands? With reference to Durango Bill’s Poker Probabilities, the probabilities in a 5 suit 13 denomination deck are as follows:

Poker Hand Number of Combinations Probability
--------------------------------------------------------
Royal Flush 5 .0000006053
Five of a kind 13 .0000015739
Straight Flush 45 .0000054480
Four of a kind 3,900 .0004721614
Flush 6,385 .0007730129
Full House 15,600 .0018886455
Straight 31,200 .0037772909
Total 8,259,888 1.0000000000

The biggest difference is a Full House is easier to be dealt then a Flush.

Now, how does adding a One and Princess denomination affect the probabilities.

Poker Hand Number of Combinations Probability
--------------------------------------------------------
Royal Flush 5 .0000002897
Five of a kind 15 .0000008691
Straight Flush 55 .0000031867
Four of a kind 5,250 .0003041822
Flush 14,955 .0008664849
Full House 21,000 .0012167290
Straight 37,440 .0021692540
Total 17,259,390 1.0000000000

A Full House remains a higher probability, but with a high probability of obtaining a Flush.

To see how the above combinations where calculated refer to;

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

**Update: October 2009**

After over a year of use and into the second deck, I thought I would retract my statement stating ‘The card material is of quite good quality’. These cards damage very easily, the photos speak for themselves.

**Update: June 2010**

Want more suits? Check out 8 Suits here.