How Many Possible Texas Holdem Hands Are There

The best highest card is an ace, but it could be a four depending how the hand plays out. In Texas Hold’em poker there are 2,652 possible starting hands. The way that you first get all the possible starting hands is to take the number of cards (52) and multiply that by 51 times. Remember that the first 2 cards that can be dealt can be anything from the deck.

All the suits in poker are of equal value. It makes no difference whether someone has the ace of clubs or the ace of diamonds. If remaining players have exactly the same hand at showdown, only in different suits, the pot is split.

Hand Ranking

The value of poker hands is determined by how rare or common it is to be dealt them, with the most common hands valued lower than the rarer hands. The complete list of poker hands is as follows, in increasing order of scarcity:

1. High card
2. One pair
3. Two pair
4. Three of a kind (sometimes called “trips” or “a set”)
5. Straight
6. Flush
7. Full house
8. Four of a kind (sometimes called “quads”)
9. Straight flush

High Card

If you have no pair, three of a kind, straight, flush, full house, etc., then the highest card in your hand is considered to be decisive. The hand above, in which the best card is a king and there is no other combination of poker hand, is known as “king high”.

Ace high beats king high. King high beats queen high, and so on.

How Many Possible Texas Holdem Hands Are There Every

If the high cards in two players’ hands is the same, the second-highest card becomes decisive. If these cards are also the same, the third-highest card plays and so on. These cards are known as the kicker.

High card ace, king kicker:

Player 1 has A♠K♣
Player 2 has A♦Q♦
The board is 9♠6♥4♥3♠2♣

Both players have an ace, but Player 1 wins, because he has a king as his second highest card (kicker). His opponent only has a queen.

I’ve been asked by a new player to explain how I got to 169 possibilities of starting hands from a previous page. Good question!

In Texas Hold’em poker there are 2,652 possible starting hands. The way that you first get all the possible starting hands is to take the number of cards (52) and multiply that by 51 times.

Remember that the first 2 cards that can be dealt can be anything from the deck. Out of these 2,652 combinations, there may not be different hands though, because the same two cards dealt in two different orders are still the same hand. In the following two examples, you can see that the cards are equal and that there aren’t any differences. Kind of reminds you of algebra in school, huh?

is EQUAL to

is EQUAL to

That reduces the number of hands, 2,652 down by half or 2,652/2 = 1,326.

Still with me? Good.

Now, out of the 1,326 hands, thinking of the samples above, there is a lot of duplication in VALUE of the hands.

The following hands are all equal in VALUE:

is EQUAL to is EQUAL to

Okay, have you digested that? Good. One last thing. Because of the possibility of getting a flush, cards like the following are NOT equal:

is NOT EQUAL

This is because the first two cards have a chance at making a flush and the second two cards not do not have a chance for making a flush.

We need to get the total number of possibly suited starting cards from this bunch so that would be 13 x 12 /2 for a total of 78.

Continuing on, there should be 78 possible suited starting cards and 78 possible non-suited starting cards and 13 possible pairs for a total of 169 cards.

So looking at it this way, there are 169 possible starting hands in this game. Hopefully I answered the question without making it too confusing.

How Many Possible Texas Holdem Hands Are There Time

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