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The tables and graphs below provide the statistical data you need to compute the pot odds both before and after the flop. The tables and graphs communicate three main points. The points are:
The tables below show the probabilities of having a particular ranked hand after the flop. The first table presents probabilities for starting hands in the pairs, flush draw, and no draw groups. Straights and straight flushes are not possible after the flop for starting hands in these groups. Of course any two cards could improve to a straight or straight flush later on in the hand if the right cards appear. Probabilities on the Flop for Five-card Hands
For starting hands in the straight draw and straight flush draw groups, the probabilities on the flop are more complicated to summarize. Connected starting cards, such as 9-8, are more likely to flop a straight than gapped cards, such as 9-7. To summarize the probabilities, straight draws and straight flush draws must be separated into four groups:
A three-gap straight draw, such as 9-5, can only make one straight on the flop (9 high). Connected cards such as 9-8 have four straight possibilities on the flop (Q - high, J - high, 10 - high, 9 - high). Each straight possibility has a 0.3265% chance of occurring. Therefore 0.3265% times the number of straight possibilities gives the chance of a straight on the flop. The second table below shows the probabilities after the flop for the different straight draw categories. Straight Draws
The third table shows the probabilities for starting cards that are straight flush draws. In this case, the probabilities for straights are slightly reduced when compared to straight draws, and the probabilities for flushes slightly reduced when compared to flush draws. The reason is that a small fraction of the possible straights and flushes will be straight flushes. Straight Flush Draws
Note that even when they are possible, straights and flushes on the flop occur, at most, about 1% of the time, usually less. Also pay attention to the above note, on Ace-high and Ace-low straight draws. The hand A-K, for example, is a three-gap straight draw. Only one straight (Ace-high) is possible after the flop. Importance of High CardsThe tables show the probability that at least one overcard -card on the board higher than either card in your starting hand- will appear after the flop. The probabilities range from 100% (if the highest card in the starting hand is a 2) to 0% (for an Ace in the starting hand). The tables demonstrates that holding an 8 as a high card is not much different than holding a 2. Since straights and flushes are rare, pairing pocket cards with cards in the flop is much more likely than any other event. To win over the long run, you must play high cards because that decreases the chance that an opponent will pair with an overcard. | Online Poker Software ProvidersBetSoft PokerMicroGaming PokerNetEnt PokerPlaytech PokerPlay’n Go PokerRTG PokerWMS PokerPlayson PokerNYX PokerEndorphina PokeriSoftBet Poker | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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