Jan 29, 2025
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(via and everything else too: Poker... just a friendly game)
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New Odds
Regular poker has four suits and five cards per hand; there are exactly 2,598,960 distinct possible hands, excluding wild cards.
If we bump this up to six suits and seven cards, the odds change astronomically. Suddenly, there are 2,641,902,120 possible unique hands. That’s over 1,000 times as many!
In regular poker, the most likely hand you can be dealt is Junk, Nothing, No Pairs. If you want to be optimistic, you could call it “High Card” instead. 1,302,540 possible junk hands,over half of all hands!
But in six suit poker, you are actually more likely to get one pair than you are to get random junk!
ALL POSSIBLE HANDS IN 6-SUIT POKER (RANKED BY PROBABILITY)
To calculate these odds, I’ve used binomial coefficients, or “choose notation.” Given X items, of which you can choose Y of them, there are (X, Y) possibilities of what that combination could be.
One Pair: AABCDEF, there are (13,1) ways to pick the pair (13 values, pick 1), and (6,2) ways to pick its suit (6 values, pick 2). There are (12,5) ways to pick the remaining 5 values (12 values, pick any five), and (6,1)^5 ways to pick their suits. (13,1)x(6,2)x(12,5)x(6,1)^5 = 1,200,925,440
Two Pair: AABBCDE, (13,2)x(6,2)^2 for A and B, then (11,3)x(6,1)^3 for the rest = 625,482,000
Nothing: 478,120,440 In this version of poker, you’re more likely to get one or two pairs than you are to get nothing, so a pair is actually the least valuable hand. Junk beats one or two pairs, isn’t that odd?
Three-of-a-Kind: AAABCDE, there are (13,1) ways to choose the triple, and (6,3) ways to choose their suits. There are (12,4) ways to choose the remaining values, with (6,1)^4 ways to choose the suits. (13,1)x(6,3)x(12,4)x(6,1)^4 = 166,795,200
Three and Two: AABBBCD (13,1)x(6,2)x(12,1)x(6,3)x(11,2)x(6,1)^2 = 92,664,000
Three Pair: AABBCCD, (13,3)x(6,2)^3 for A, B and C, then (10,1)x(6,1) = 57,915,000
Four-of-a-Kind: AAAABCD, there are (13,1) ways to pick the quadruple, and (6,4) ways to pick its suit. There are (12,3) ways to pick the remaining values, with (6,1)^3 ways to pick their suits. (13,1)x(6,4)x(12,3)x(6,1)^3 = 9,266,400
Three, Two, Two: AAABBCC (13,2)x(6,2)^2 an (11,1)(6,3) = 3,861,000
Four and Two: AAAABBC (13,1)(6,4)(12,1)(6,2)(11,1)(6,1) = 2,316,600
Straight: 8x(6,1)^7 = 2,239,488 (includes straights and royals), minus 48 = 2,239,440
Two Three-of-a-Kinds: AAABBBC (13,2)x(6,3)^2(11,1)(6,1) = 2,059,200
Five-of-a-Kind: AAAAABC, (13,1)x(6,5)x(12,2)x(6,1)^2 = 185,328
Four and Three: AAAABBB (13,1(6,4)(12,1)(6,3) = 46,800
Five and Two: AAAAABB (13,1)(6,5)(12,1)(6,2) = 14,040
Flush: (6,1)x(13,7) = 10,296 (including straights and royals), minus 48 = 10,248
Six-of-a-Kind: AAAAAAB, (13,1)x(6,6)x(12,1)x(6,1) = 936
Straight Flush: 7x6 = 42
Royal Flush: 6
Not all of these hands have names, but I have a few proposals.
One Pair: double or two-of-a-kind
Two pairs: double double
Nothing: It’s not technically junk anymore, but I like the way it sounds, so I’m still gonna call it Junk.
Three-of-a-Kind: triple
Three and Two: What would you call three of a kind and a pair? In regular poker, this is a full house, but in 7 suit poker there are two additional cards that don’t match up with the three of a kind or the pair. I propose calling this an Empty House, or just a House
Three Pairs: I’d call it a Triple Double or a Senate
Four-of-a-Kind: Quadruple or Quad
Three Two Two: this is closer to what a Full House would be, but there are a few more hands that could also probably be called Full Houses, so I’d probably call this one just a House, with the Three-Two being an Empty House.
Four and Two: the name Full House implies a sold out stage production, so maybe these sorts of hands would be named after Opera seats. The best seats are Optima, but this would be up in the rafter, Balcony seats, or Gallery seats, up in the nosebleeds.
Straight: A straight is a straight no matter what
Two Three-of-a-Kinds: Two Triplets or a Double Triple
Five-of-a-Kind: Quintuple
Four and Three: Full House or Optima Seats
Five and Two: Full House or Front Row seats
Flush: Flush
Six-of-a-Kind: Sextuple or Hextuple, Hex
Straight Flush: Straight Flush
Royal Flush: Royal Flush
What do you guys think? If you want me to explain anything, just ask.
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TAROT POKER!
(This explanation was provided by Jana Hollingsworth in her comic strip ‘Pagan Cowboy Joe’ and appeared in GREEN EGG Yule 1991 issue)
If you can play poker you can play Tarot Poker. The Minor Arcana forms hands just like in regular poker.
The Major Arcana ranks above the Minor Arcana and higher-numbered Trumps rank above lower-numbered Trumps.
Major and Minor Arcana hands in ranking order. The Trump hands are marked with a star:
*Trump Straight Flush: any five trumps in numerical order
Royal Flush: Ace, King, Queen, Knight, Page all of same suit
Straight Flush: any five cards in sequence, all the same suit
*Imperial Four: Magician, High Priestess, Empress, Emperor
Four of a Kind
Full House: Three cards of one rank and two of another
*Trump Flush: five trumps not in sequence
Flush: five cards in same suit, not in sequence
Straight: five cards in sequence, not the same suit
*Astral three: Star, Moon, Sun
Three of a kind
Two Pair
One Pair
*Trump Pairs beat Minor Arcana Pairs. In descending order they are:
World and Fool
Judgement and Justice
Any Two: Sun, Moon, Star
Devil and Lovers
Temperance and Chariot
Hermit and Hierophant
Emperor and Empress
High Priestess and Magician
Fool is wild card
Wheel of Fortune is wild card only in combination with other Trumps.
>>All Trump combinations have to make magickal sense as the union of opposites. <<
{The author makes no specifications for Strength, the Hanged Man, Death, or the Tower. Does that make them a combination with the Fool or Wheel cards?}
Ladies and Gentlemen – if you please – ANTE UP!
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