The Game Of Texas Hold’Em

Texas Hold’Em in a Cardroom

Texas Hold’Em Online

Winning poker

Tactics

Strategies

Putting It all together

Psychological Considerations

Where to go from here

Places to Play

Appendix I Hold’Em poker Variations

Appendix II Poker Tournaments


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PROBABILITIES ON THE FLOP

  The tables on poker on the next page will show the probabilities of having a particular ranked hand post flop. The first table will present probabilities for starting hands in the pairs, flush draw, and no draw groups.Straights and straight flushes would not be possible post flop for starting hands in these groups. Of course any two cards could possibly improve to a straight or straight flush later on in the hand if the right cards were to appear.


  For starting hands in the straights draw and straight flush draw groups, the probabilities on the flop would be more complicated to summarize. Connected starting cards, such as a nine and eight, would be more likely to flop a straight than gapped cards, such as a nine and seven.  To summarize the probabilities, straight draws and straight flush draws should be separated  into four groups: connected (such as a nine and eight), one-gap (such as a nine and a seven), Two-gap (such as a nine and six), and three-gap (such as a nine and five). A three-gap straight draw, such as a nine and five, could only make one straight on the flop   (nine high).

  Connected cards such as a nine and eight would have four straight possibilities on the flop (Queen-high, Jack-high, ten-high and nine-high). Each straight possibility would have a 0.3265% chance of occurring. Therefore 0.3265% times the number of straight possibilities would give the chance of a  straight on the flop. The second table on the next page will show the probabilities post flop for the different straight draw categories.

  The third table will show the probabilities for starting cards that would be straight flush draws. In this case, the probabilities for straights would be slightly reduced when it would be compared to straight draws, and the probabilities for flushes would slightly reduce when compared to flush draws.

  The reason will be that a small fraction of the possible straights and flushes will be the straight flushes. You should note that even when they were to be possible, straights and flushes on the flop would occur, at most, about 1% of the time, usually less. Also you should pay attention to the note at the bottom of the page, on ace-high and ace-low straight draws. The hand Ace and King, for instance, would be a three-gap straight draw. Only one straight (ace-high) would be possible post flop.

  Probabilities on the Flop for Five-Card Hands.

NO STRAIGHT POSSIBLE

After the Flop Probability (in percent) of Having:

Starting
Hand

Straight
Flush

Four of kind

Full house

Flush

Straight

Three of kind

Two pair

One pair

Pair

-

0.245

0.980

-

-

10.77

16.16

71.84

FD

-

0.010

0.092

0.0842

-

1.571

4.041

40.41

ND

-

0.010

0.092

-

-

1.571

4.041

40.41