From this value we subtract away the number of straights, flushes, and straight flushes. Another way to calculate this value is to start with the 13 C 5 ways to get five values and from that subtract the 10 we know are the only straights. This gives us the values of the cards.
Then we need to look at the suits. Each of the cards can be any the suits, with the exception of the four times when the suits all align and it would be a flush. A standard deck of cards has four suits. Because of this, a full house occurs less frequently than a flush, which in-turn occurs less frequently than a straight. What would happen if there were less suits in a deck, or more suits?
This is an interesting thought exercise. If we had a 'skinny' deck with just three suits or maybe even two? Taken to the limit, if there was just one suit, then every hand would be a flush! An added complication is that, with more than five suits it is possible to get a new hand type: Five of a Kind! Going the other way, what if cards could have more than 13 different values?
The higher the number of cards in a deck, the harder it would be to make straights. How about 20? How about if we combined both these and varied both the number of suits and the range of the cards? Leveraging what we've learned above it's possible to derive generic formulae for the number of occurences of each of these hands. Below are the how the rankings change if we keep the number of values in a deck fixed at 13 A,K,Q,J,T,9,8,7,6,5,4,3,2 and vary the number of suits in the deck.
For each number of decks I've calculated the number of occurences of that hand, and the cardinal ranking of their strengths. When there is only one suit, all hands are either flushes or straight flushes! The straight flush is the rarest. When a deck contains two suits, it's not possible to make four of a kind, three of a kind, or a full house. The straight flush is still the rarest hand, but a straight is less likely than a flush. With three suits, all the standard poker hands are possible except four of a kind, but again the ranking of the flush and the straight are reversed.
With four suits, this is our vanilla deck, and the numbers correspond to those calculated earlier. If we add a fifth suit, five of a kind is possible. This becomes the rarest hand, and the flush and the full house switch places. With six suits and beyond , five of a kind relinquishes the position of ranking highest, and this honour returns to the straight flush. Things don't change again until 10 suits not shown , when now it becomes more likely to have a pair than just a high card.
What happens if we keep a deck with the standard four suits, but adjust the number of cards in every suit away from the standard 13? The top table below shows decks with a range of cards up to a standard 13 card per suite deck. As there are only four suits it's always going to be impossible to make five of a kind. Because there are only four suits, if we only have one distinct value for each card, there will be only four cards in the deck, so there is no way to make a five card hand!
We need a minimum of two cards per suit to play poker. With two numbers for each suit, in your five card hand, you either have four of a kind, or a full house.
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With three values in each suit it's also possible to have three of a kind, or two pairs. Once we have five, or more, cards it's possible be able to make straights and straight flushes. With five values, it's still not possible to just get a high card, as any five distinct cards in a set of five will always make a straight. Because of this, even though with five cards you can now make a flush, this will be a straight flush because they will be connected. With six cards, both a straight flush and non-straight flush are equally likely.
It's also possible to get a high card only for the first time. With a small number of values, it's much more likely to get a pair than a high card. As the number of cards increases, this changes changing over at If you are bored one afternoon, it might be a fun exercise to dust off a little code to see the sensitivity impact of losing one card in a deck. However, there are many hands that rank under it. The next best hand on the list is called Four-of-a-Kind.
Visit our Straight Flush Odds article for more information. Download Now. Instant Play. How to Play poker.
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Poker Hand Rankings. Straight Flush. The Straight Flush Hand in Poker. On the first runout, the 8 hit on the river.
On the second board, the K came on the turn, giving the underdog both halves of the pot with a straight flush over a full house. In case you missed it, this happened at our table early this morning: pic. Messages that harass, abuse or threaten other members; have obscene or otherwise objectionable content; have spam, commercial or advertising content or links may be removed and may result in the loss of your Card Player Account.
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Poker Hands – Ranking
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