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Probability Poker Texas Holdem

  1. A Basic Overview of Texas Hold'Em. Texas Hold'Em is a competitive poker game played in several rounds where players bet to advance from one stage to the next. It is a game of skill, strategy and, like all card games, luck. The objective of Texas Hold'Em is very clear: have the best five-card poker hand at the end of the game. Meeting the objective, however, is extremely challenging. In Texas Hold'Em, each player is dealt two private cards, and all players share five community cards.
  2. To put this in perspective, if you’re playing poker at your local casino and are dealt 30 hands per hour, you can expect to receive pocket Aces an average of once every 7.5 hours. The odds of receiving any of the thirteen possible pocket pairs (twos up to Aces) is: (13/221) = (1/17) ≈ 5.9%.

The following Texas Holdem odds table highlights some common probabilities that you may encounter in Hold'em. It is not vital that you learn these probabilities, but it is useful to be aware of the chances of certain situations arising.

Texas Hold'em odds chart.

Probability

Most of the time when you play Texas Holdem online, you’ll be dealing with numbers that don’t divide quite so easily. Maybe you’ll be facing a $58 call into a pot of $237. Don’t worry being exact; just round off the numbers, so it’s a $60 call into a pot of $240. Your pot odds are roughly 4:1, or 20%.

Probability Poker Texas Holdem Rules

SituationPercentage OddsRatio Odds
Preflop Probabilities:
Dealt AA.0.45%220 to 1
Dealt AK.1.2%82 to 1
Dealt AKs.0.3%331 to 1
Dealt 72o.0.9%109 to 1
Being dealt AA vs. KK (heads up).0.004%22,559 to 1
Dealt a pocket pair.6%16 to 1
Dealt suited connectors.4%24 to 1
Flop Probabilities:
Flopping a pair.32.4%2.2 to 1
Flopping a set (with pockets).11.8%7.5 to 1
Paired Board:
2 players, probability of trips.17%4.8 to 1
3 players, probability of trips.26%3 to 1
4 players, probability of trips.34%2 to 1
5 players, probability of trips.43%1.4 to 1

How to use Texas Hold'em odds.

The odds in this Texas Hold'em odds table are unlikely to directly help your overall strategy, but they are pretty interesting nonetheless. The Texas Hold'em odds for each of the different situations have been given in both percentage and ratio odds, so use whichever format you feel comfortable with.

Other poker odds charts.

Probability

For more useful odds charts that you can use for when you are working out whether or not to call when on a drawing hand, use the following tables:

Both of these tables give the odds for completing your draw depending on how many outs you have. You can find out more on how to work out odds and all that mathematical stuff in the article on pot odds.

Go back to the poker odds charts.

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Probability Poker Texas Holdem

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Comments

Odds are good to know during a game of poker because they will help you calculate your chances and thus decide what to do in a give situation. If you consider the odds, you will improve your chances to win.

In the chart below, you can see what the chance for a specific hand to be dealt during a game of Texas Hold’em poker is:

Texas Holdem Poker Probability

The information on this website may not be accurate and our gambling materials do NOT promise or guarantee winnings in any way. Use the information on this website at your own risk. Gambling with real money poses a great risk and everyone must do it wisely, under his own responsibility and will.