Getting started with the Equilab The main window enables you to calculate your equity based on various filters. In order to calculate equity, you must enter the hands or hand ranges of at least two players. Once you have set the filters you want, just click 'Evaluate' and the equity percentages will be displayed next to each player's hand.

We will abbreviate the types of Texas Hold'em formations as follows: 1p – one pair; 2p – two pairs, 3k – three of a kind; st – straight; fl – flush; fh – full house; and 4k – four of a kind.
By hand we mean the card configuration of the entire board (community board and your own hole cards), along with the number of your opponents in play at the moment of analysis. This holds for any poker variation.

The Poker Hand Matrix You’ve likely seen the 13 by 13 matrix before. This matrix lists out all 169 possible starting hands (13×13 = 169) and is the universal way that poker players visualize ranges. The matrix displays every pocket pair along the diagonal, every suited combo is above the diagonal, and all unsuited combos below the diagonal. Poker software rapidly caught up with theory, so that now there are many tools that allow range vs range analysis. All of these tools can also handle hand vs range and hand vs hand equity calculations, since these are effectively subsets of the broader range vs range case. 18+ T&C Apply – To receive the welcome bonus a minimum deposit of £/€/$ 10 is required. The minimum deposit for other offers that require a deposit will Poker Hand Matrix be clearly communicated. Maximum bonus offered will Poker Hand Matrix be communicated in the details of each specific promo. For each hand, we call the matrix the strength matrix of that hand. 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.

For any type of formation F , we denote by the probability of F being achieved by river by your own hand and by the probability that at least one opponent will achieve something higher than F, if you will achieve F.

For any hand and type of formation F, we call the pair the strength vector of that hand with respect to F.

Example:
Community cards: (8♦ 5♠ 2♣) (flop stage)
Your own hole cards: (2♥ J♦)
4 opponents
For full house (fh), we have and (For computing we must consider all possible reconstitutions of the community board in the river stage, in the assumption you achieve a full house by river, then calculate the q probability for each case, and then using some probability formulas for obtaining the overall probability. This process of calculation is described in detail in the chapter Evaluating the strength of a hand of the book Texas Hold’em Poker Odds for Your Strategy, with Probability-Based Hand Analyses). The strength vector of this hand with respect to full house is (2%, 41%) and reads as follows: You have about 2% chance for achieving a full house by river; in case you do achieve it, your opponents have about 41% chance of beating it.Definitely, it is a weak hand with respect to full house: only 2% chance of achieving it and then 41% chance of loosing (59% of winning) with it. Thus, you might consider other inferior formations to analyze.

If is the strength vector of a hand with respect to F, we call the number the strength indicator of that hand with respect to F.
In our previous example, the strength indicator of the hand with respect to full house is .

is also a probability, namely the probability that you will achieve a formation of type F by river and none of your opponents will achieve something higher, if you achieve it.

Poker Hand Matrix Excel

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.
For each hand, we call the matrix the strength matrix of that hand.

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.

Poker Hand Matrix Excel

Conventions. The following conventions were established in order to compute a strength matrix more easily:
- Straight flush has not been included on the last column as the highest type of formation. 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.
- We replace by 0 the elements of any column of a type of formation that is included at the moment of analysis or will be included – should it occur – by river in a superior type of formation. By this convention, the ignored type of formation F gets a null probability of being achieved and consequently a null probability for the opponents to beat it if it occurs . 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.

Interpretation. 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. This is what “how strong is it” means in mathematical terms. Assuming we have the strength matrix of a hand we want to analyze, how will we actually interpret it? The r

Hand Matrix Poker