Poker 1 pair

Some amazing poker odds

Mathematics is one of the basics of poker. But do you know your chances of touching a set, or even a royal flush? Discover in this article a whole series of statistics and poker odds.

Chances for that.

. you received a pair of pre-flop aces:

1 chance out of 221

. your opponent also has a pair of aces when you have them too (2 players):

1 chance out of 1 225

. your opponent also has a pair of aces when you have them too (9 players):

1 chance out of 154

. you have a pair of Kings and your opponent has a pair of Aces (2 players):

1 chance out of 204

. you have a pair of Kings and your opponent has a pair of Aces (9 players):

1 chance out of 26

. you have a pair of Checkers and your opponent has a pair of Kings or Aces (2 players):

1 chance out of 102

. you have a pair of Dames and your opponent has a pair of Kings or Aces (9 players):

1 chance out of 13

Chances for that.

. you flopped a set with a pair in your hands:

. that you receive a pair and then flop a set:

1 chance out of 145

. two players with one pair both touch a set or better:

1 chance out of 94

. two players receive a pair and then both flop a set (2 players):

1 chance out of 42,306

. two players receive a pair and then both flop a set (6 players):

1 chance out of 2,820

. two players receive a pair and then both flop a set (9 players):

1 chance out of 1,175

. three players receive a pair and then flop all three sets (3 players):

1 chance out of 13,960,822

. three players receive a pair and then flop all three sets (6 players):

1 chance out of 698,041

. three players receive a pair and then flop all three sets (9 players):

1 chance out of 166,200

Chances for that.

. you have a square by the river with a pair in your hands:

1 chance out of 123

. when two players have a pair, they both end with a square on the river:

1 chance out of 38,916

. two players receive a pair and then make a square by the river (2 players):

1 chance out of 5,627,956

. two players receive a pair and then make a square by the river (6 players):

1 chance out of 375,197

. two players receive a pair and then make a square by the river (9 players):

1 chance out of 156,332

Chances for that.

. you flop a color with two matching cards in your hands:

1 chance out of 119

. two players with matching cards of the same color in hands flop their color:

1 chance out of 206

. three players with matching cards of the same color in hands flop their color:

1 chance out of 434

. four players with matching cards of the same color in hands flop their color:

1 chance out of 1,324

. two players receive matching cards of the same color and flop one color (2 players):

1 chance out of 19,491

. two players receive matching cards of the same color and flop one color (6 players):

1 chance out of 1,299

. two players receive matching cards of the same color and flop a color (9 players):

1 chance out of 541

Series without Pair or Tripod

Chances for that.

. you did not receive a single pair in 50 handed hands:

1 chance out of 21

. you did not receive a single pair in 100 hands distributed:

1 chance out of 429

. you did not receive any pair in 200 hands distributed:

1 chance out of 184,411

. you did not flop any three-handed games in 100 hands

. you did not flop any three-of-a-kind hands in 500 hands:

1 chance out of 32

. you do not flop any set in 1000 hands distributed:

1 chance out of 1,032

. you did not flop any set in 2000 hands distributed:

1 chance on 1 064 023

Royal Flushes

Chances for that.

. the painting displays a royal flush:

1 chance out of 649,740

. the board displays three cards to make a royal flush on the river:

1 chance out of 60

. someone does a royal flush (9 players):

1 chance out of 3 629

> To go further on the odds, we also advise you to consult our strategic section dedicated to mathematics of poker.

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Thank you it's clearer!

PokerListings France 2017-11-29 12:34:08

In the first case, both players already have their two matching cards (and the same color), and these are the chances that they both touch that color on the flop.

In the second case, heads-up this time, the chances are that the two players first receive two matching cards of the same color, then they flop this color.

.. two players with matching cards of the same color in hands flop their color:

1 chance out of 206

. two players receive matching cards of the same color and flop one color (2 players):

1 chance out of 19,491

What is the difference between these two lines except probability?

  1. Royal Flush
  2. Flush
  3. Square
  4. Full house
  5. Color
  6. Fifth
  7. Kind
  8. Double Pair
  9. a pair
  10. Height

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    statistics and probabilities to know to better play poker texas hold em

    The concepts of strategy, psychology, position and others will not be discussed on this site that will focus on the mathematical aspect of Texas Hold em poker.

    A simple calculation to make the right decisions on the flop is a simplified calculation formula that is not 100% accurate but nevertheless little difference from the exact statistics.

    Just calculate the outs (the number of cards that will improve your hand), multiply that number by 2 then add 2 total: you get the approximate percentage of improvement of your hand.

    You have 9-10 in hand with valet-lady on the flop, so you have 8 outs for your sequel (the four 8s and the four Kings), 8 * 4 = 32, + 2 which make about 34% of odds (1 chance 3) to find the result on the turn or on the river.

    A ventral fifth will have 2 times less outs therefore only about 18% of chances

    Another example with 2 hearts in hand and 2 hearts on the flop: you have 9 outs (the remaining 9 hearts) * 4 = 36 + 2 or 38% chance to hit the turn or river

    You have to think about calculating all possible outs:

    For example, with heart heart ace in hand and a flop 7 heart, 8 heart, 2 clover

    Let's calculate the outs of the combinations that allow us to beat a pair of 8 at this time: the color (9 outs), the pair of Aces (3 outs), the pair of King (3 outs) is 9 + 3 + 3 = 15 * 4 = 60 + 2 = 62%

    Nearly 2 chances out of 3 to improve your hand with a pair of king, aces or a color, however you must not forget that the game of the opponent can also improve or he can already have at flop an unbeatable combination: these statistics concern only the probabilities of improvement.

    The percentages obviously vary depending on the strength of the pair held. Thus the pair of aces will never find an overcard on the flop while the pair of 2 will have a 100% chance of finding a superior card on the flop.

    Percentage chance of finding an overcard on the flop with a pair in hand:

    So we see in these statistics all the weakness of small pairs, if it does not find a set of flop and many players remain in the race, there is a good chance that the hand is beaten.

    We also see that the pair of valets is quite fragile with more than one chance out of 2 that there is an ace, a king or a lady on the flop ...

    What are the statistics regarding the flush and flush draw possibilities on the flop:

    When you have 2 cards of the same color (spades, hearts, diamonds, shamrocks) in hand, there is only a 0.8% chance that the 3 cards of the flop are of this same color.

    You obviously have more chances to find a flush draw on the flop: 1 chance out of 9 is about 11%.

    - When you have a king pair served, there is a 23% chance that an ace will fall on the flop (without any other king falling).

    - With preflop ladies, there is a 43% chance that a king or an ace will fall on the flop (without any other lady falling).

    - With the pair of valets served, the chances of bad matches increase again with 59% chance that a lady, a king or an ace falls on the flop (without a jack to save the bet).

    These statistics show that medium and strong pairs are often in danger on flops and that you should not hesitate to play aggressive preflop to avoid ending up with too many players on the flop.

    A small pair is not always easy to play poker, depending on the position, the carpets in the presence, the aggressiveness of the players on the table, it will sometimes limp the hand, just pay or raise.

    In any case an important statistic to know is that you will have about 11.5% chance to hit a flop on the flop.

    What are the odds of finding a pair of preflop ace:

    The dream of any poker player: a pair of aces in hand!

    It is an enjoyable event but relatively rare since its probability is only 0.45% or 1 chance out of 220 ...

    Imagine 2 preflop mats, in this case, we are close to the 50-50 but the pair has a hope of winning the hand a little more important ... About 55% but the percentage may vary slightly if the 2 top cards are matched or no, connected or not, depending on their height, whether they share colors with the pair or not, etc.

    The first round of bidding done, what can you expect from the flop?

    14% chance the flop will contain a pair

    0.2% chance of the flop being a set

    5% chance that there is only one color

    55% chance that the flop will be two colors

    40% chance the flop is tricolor

    Once the 5 cards returned (and without taking into account your hand), there is:

    1 chance out of 2 that there is at least one pair

    17% chance of 4 consecutive cards

    19% chance of 4 matching cards

    Probability of having 2 assorted cards: 24%

    Probability of having 1 pair: 6%

    Probability of having at least one ace: 5%

    Probability of having 2 consecutive and matched cards: 3%

    Probability of having Ace and King: 1%

    In this article we will study the cases of the duel between a small pair against a higher pair ...

    The small pair is a valid weapon against an ace-king but is found very low statistically against a higher pair ...

    Imagine an all-in preflop between a pair of 6 and a pair of 10, the pair of 6 will only have one chance out of 5 to win this shot (between 17 and 20% chance depending on the colors of the respective hands).

    The small pairs are therefore hands to play with caution, the goal of the game is often to see the flop to find a devastating trip!

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