Poker Hand Rankings - Texas Holdem Starting Hands Chart

And in fact most of those charts feature a similar ordering of hands, with Knowing how hard it is to have a set in a situation is very useful when you have top pair against someone who is representing a set. It's a good thing to have something like that but the fact is that you only get hands that fit that criteria rarely. There are a lot of books and poker strategy websites where such charts can be found. Also, the starting hand matrix will show the number of combos that are left for each starting hand.

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Starting Hand Groups

You are sitting in early position and are dealt A J. You are first to act and so nobody has bet before you. You will see that Group E is not shown in that column so we are not allowed to play a Group E hand in Early position in this situation and so we would fold this hand.

You are sitting in early position and are dealt A K. You will see that with a group B hand we are told to make an opening raise. So we would enter the hand by making a Raise We will look at details of how much to raise later in the lesson. You are sitting in Mid Position and are dealt A A. A Player in early position has raised the pot up to 3 times the Big Blind. You will see that with a group A hand we are told to make a Re-Raise. So we would enter the hand by making a Re-Raise.

We will look at details of how much to raise later in the lesson. You are sitting in Mid Position and are dealt 9 9. So we fold this hand. You are sitting in Late Position and are dealt 8 7. Two Players acting before you have limped in and called the big blind. You will see that we are allowed to Call a Multi-way pot with a group H hand multiple players playing the hand.

As two people have already called and the blinds will likely also call we can call the big blind and play the hand. So we would call the big blind on this hand.

An opening Raise in general should be between 3 to 4 times the Big Blind. If we were to consider all types of formations from one pair to four of a kind and do the same calculations for each of them, we would end up with seven strength vectors, one for each type of formation. These seven vectors would give us the whole image of the strength of that hand. In fact, they form a 2 x 7 matrix of probabilities. On the first row of the strength matrix are the probabilities of the own hand achieving the various types of formations by river.

On the second row are the corresponding probabilities that your opponents at least one will achieve something higher than you by river, if you will achieve that expected type of formation. Each column corresponds to a type of formation 1p, 2p, 3k, s, fl, fh, 4k.

Each hand has an unique associated strength matrix, whose elements are calculable manually or by software program. The following conventions were established in order to compute a strength matrix more easily: In fact, it is included in the flush type.

When you hit a straight flush, there is nothing to analyze - you should put all in. Thus, it practically comes out of the hand analysis. For instance, the strength matrix associated to a hand in turn stage where you have a full house, has the form.

In this case, one pair, two pairs, and three of a kind cannot be achieved as the full house includes and cancels them, and straight is impossible since you have at maximum two cards of it. Thus full house and four of a kind remain to be dealt with. As the strength of a poker hand can only be expressed through mathematical probabilities of final events, the strength matrix is the most adequate object to picture such strength. When we evaluate the strength of a hand by interpreting its strength matrix, we actually assume a scale on which to place that strength, and implicitly a relation order over all possible hands.

Assuming we have the strength matrix of a hand we want to analyze, how will we actually interpret it? The rough rule is: Hands that have been filtered out of the range will be grayed out in the starting hand matrix. Also, the starting hand matrix will show the number of combos that are left for each starting hand. To take a closer look at the contents of any statistic, mouse over it. Its contents will light up in purple. If you right-click the statistic, you will be able to apply custom filters to individual starting hands.

For the written manual, go here. HoldEq is an equity calculator that comes free with Flopzilla. It has the ability to connect to Flopzilla and import whichever range is present in it. Another special feature is that it's capable of visualizing the equities of individual starting hands in both graphs and tables see screenshot.

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