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  2. Poker probability - Wikipedia

    en.wikipedia.org/wiki/Poker_probability

    The values given for Probability, Cumulative probability, and Odds are rounded off for simplicity; the Distinct hands and Frequency values are exact. The nCr function on most scientific calculators can be used to calculate hand frequencies; entering nCr with 52 and 5 , for example, yields ( 52 5 ) = 2 , 598 , 960 {\textstyle {52 \choose 5 ...

  3. Effective hand strength algorithm - Wikipedia

    en.wikipedia.org/wiki/Effective_hand_strength...

    The algorithm is a numerical approach to quantify the strength of a poker hand where its result expresses the strength of a particular hand in percentile (i.e. ranging from 0 to 1), compared to all other possible hands.

  4. Hand evaluation - Wikipedia

    en.wikipedia.org/wiki/Hand_evaluation

    W E ♠ K 10 3 ♥ A Q ♥ K J 9 4 ♦ K Q 3 2 ♦ A J ♣ A 4 3 ♣ 8 7 6 5 ♠ A Q J W E ♠ K 10 3 ♥ A Q 3 2 ♥ K J 9 4 ♦ K Q ♦ A J ♣ A 4 3 2 ♣ 8 7 6 5 Both East hands are exactly the same, and both West hands have the same shape, the same HCP count, and the same high cards. The only difference between the West hands is that two low red cards and one low black card have been ...

  5. Losing-Trick Count - Wikipedia

    en.wikipedia.org/wiki/Losing-Trick_Count

    The underlying premise of LTC is that if a suit is evenly distributed, i.e. three players hold three cards in the suit and one player holds four, a maximum of three losers can be assumed in any one suit held by the partnership and, in turn, the maximum number of losers held by the partnership in all four suits is 24 (three in each of the four suits in each of two hands, i.e. 3 x 4 x 2 = 24).

  6. Texas hold 'em starting hands - Wikipedia

    en.wikipedia.org/wiki/Texas_hold_'em_starting_hands

    For example, A ♥ J ♥ and A ♠ J ♠ are identical in value, because each is a hand consisting of an ace and a jack of the same suit. Therefore, there are 169 non-equivalent starting hands in hold 'em, which is the total count of 13 pocket pairs, 13 × 12 x 1 / 2 = 78 suited hands and likewise 78 unsuited hands (13 + 78 + 78 = 169).

  7. Zar Points - Wikipedia

    en.wikipedia.org/wiki/Zar_Points

    Zar Points (ZP) is a statistically derived method for evaluating contract bridge hands developed by Zar Petkov. The statistical research Petkov conducted in the areas of hand evaluation and bidding is useful to bridge players, regardless of their bidding or hand evaluation system.

  8. Cribbage statistics - Wikipedia

    en.wikipedia.org/wiki/Cribbage_statistics

    The highest number of points from a hand that has a potential to be a "19 hand" is 15. It is a crib hand of one suit, 46J and another ten card, with a 5 of that suit cut up. The points are 15 for 6, a run for 9, nobs for 10, and a flush for 15. Any of the following cards in an unlike suit yields a "19 hand"; 2,3,7,8,and an unpaired ten card.

  9. Pot odds - Wikipedia

    en.wikipedia.org/wiki/Pot_odds

    The addition law of probability [2] combines the chances of making the straight on the turn (4/47 = 8.5%) and on the river (4/46 = 8.7%) to give the player an equity of 17.2%, assuming no other cards will give them a winning hand. Calculating equity makes an assumption of the opponents hand.