# 8 Suits – eight suited playing cards

8 Suits, as you guessed is a deck of playing cards with an additional 4 suits, the clover, tear, crescent and star for a total of 104 cards plus a number of jokers.

Priced at \$12 USD per deck plus \$5 per postage (\$13 per postage internationally), it is a little steeper than The Fat Pack, at roughly \$16 USD including international postage. Unfortunately, I discovered the former after ordering the 8 Suits.

The following show how 8 suits affect the probability of standard poker hands;

```Poker Hand         No of Combinations        Probability
--------------------------------------------------------
Royal Flush                         8       0.0000000870
Straight Flush                     72       0.0000007829
Five of a Kind                    728       0.0000079163
Flush                          10,216       0.0001110887
Four of a kind                 87,360       0.0009499522
Full House                    244,608       0.0026598662
Straight                      327,600       0.0035623208
Three of a Kind             3,075,072       0.0334383181
Two Pair                    5,381,376       0.0585170567
Pair                       41,000,960       0.4458442418
No Pair                    41,834,520       0.4549083692

Total                      91,962,520       1.000000000```

To view the probabilities for any other numbers of suits.

# 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)