5 Dimension - a 5 suit playing cards
Saturday, August 16th, 2008I 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 9,360 .0011331873 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 Full House 12,600 .0007300374 Flush 14,955 .0008664849 Straight 37,440 .0021692540 Total 17,259,390 1.0000000000
A Flush goes back to having a higher probability than the Full House.
