How often do you flop a pair in Holdem?

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How often do you flop a pair in Holdem?

In this article, we will go through some important probabilities and statistics regarding Texas Holdem such as how often do you flop a pair in Holdem? How many possible flops are there in Texas Holdem, and other such questions.

Texas Holdem is one of the most played poker variants in online poker. Only on Facebook, the global fans of Texas Holdem are more than 62 million. If you are one of those, this article will help you understand some important game scenarios and their possible outcomes.

How often do you flop a pair in Holdem?

How often do you flop a pair in Holdem

The chances of flopping a pair in Holdem are roughly 30%. In other words, you can flop a pair once in every 3 flops.  Out of 52 cards, you have got the two hole cards while 50 cards remain in the deck. Out of these 50, 6 cards will be the pairs while 44 won’t give you any pairs. If we calculate the total number of flops, there are 19,600 total possible flops whereas 13, 244 possible flops for cards that cannot give you a pair. So, doing a little math gives us a percentage of a little over 32%. Hence, the answer to the question “how often do you flop a pair in Holdem” is 30% (rounded off.)

How many Possible flops are there in Texas Holdem?

 

There are 52 cards in a deck and you have two in hand while you are playing. So, for 50 cards, the total number of possible flops is 19, 600. The formula for the total number of possible flops is (50|3  or 50x49x48/3x2x1 = 19,600.)

Number of starting hands in Holdem

A deck of cards has 52 cards, and the total number of starting hands in Holdem is 1326. The formula for calculating the number of hands is 52×52/2×1 = 1326.

Hands groups and combinations

 

The 1326 possible hands can be distributed into different types of hands. There are a total of 13 pairs, 78 suited hands, and 78 off-suit hands.  Also, for each non-suited hand, there are 12 combinations;  and 4 combinations for suited hands. The pairs can be formed in 6 different ways.  For example:

– King of Hearts and King of Spades

– King of Spades and King of Diamonds

– King of Hearts and King of Diamonds

– King of Hearts and King of Clubs

– King of Diamonds and King of Clubs

 

Chances of a pocket pair in Holdem

 

The chances of receiving a pocket pair are roughly 6%. Here is how to calculate this:

There are a total of 13 pairs in Texas Holdem and you can get these pairs in 6 different ways. In other words, you can be each pair in 6 different ways so the total number of ways to be dealt with a pocket pair is 6×13 = 78.  On the other hand, the total number of hand combinations is 1326. Hence, you can calculate the percentage of dealing with a pocket pair as 78/1326 X 100 = 5.88% or 6% when rounded off.

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