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      • Poker Probabilities

        Below is a list of probabilities worthy of consideration when playing poker, providing an insight into how likely specific events occur:

        SOURCE:

        http://www.tightpoker.com/poker_odds.html

        Outs One Card % Two Card % One Card Odds Two Card Odds Draw Type
        1 2% 4% 46 23 Backdoor Straight or Flush (Requires two cards)
        2 4% 8% 22 12 Pocket Pair to Set
        3 7% 13% 14 7 One Overcard
        4 9% 17% 10 5 Inside Straight / Two Pair to Full House
        5 11% 20% 8 4 One Pair to Two Pair or Set
        6 13% 24% 6.7 3.2 No Pair to Pair / Two Overcards
        7 15% 28% 5.6 2.6 Set to Full House or Quads
        8 17% 32% 4.7 2.2 Open Straight
        9 19% 35% 4.1 1.9 Flush
        10 22% 38% 3.6 1.6 Inside Straight & Two Overcards
        11 24% 42% 3.2 1.4 Open Straight & One Overcard
        12 26% 45% 2.8 1.2 Flush & Inside Straight / Flush & One Overcard
        13 28% 48% 2.5 1.1
        14 30% 51% 2.3 0.95 One pair & Flush Draw
        15 33% 54% 2.1 0.85 Flush & Open Straight / Flush & Two Overcards
        16 34% 57% 1.9 0.75
        17 37% 60% 1.7 0.66





        SOURCE:

        http://www.pokerworld24.org/nl/poker_mogelijkheden/


        Probability of facing a larger pair when holding
        Against1 Against 2 Against 3 Against 4 Against 5 Against 6 Against 7 Against 8 Against 9
        KK 0.0049 0.0098 0.0147 0.0196 0.0244 0.0293 0.0342 0.0391 0.0439
        QQ 0.0098 0.0195 0.0292 0.0388 0.0484 0.0579 0.0673 0.0766 0.0859
        JJ 0.0147 0.0292 0.0436 0.0577 0.0717 0.0856 0.0992 0.1127 0.1259
        TT 0.0196 0.0389 0.0578 0.0764 0.0946 0.1124 0.1299 0.1470 0.1637
        99 0.0245 0.0484 0.0718. 0.0946 0.1168 0.1384 0.1593 0.1795 0.1990
        88 0.0294 0.0580 0.0857 0.1125 0.1384 0.1634 0.1873 0.2101 0.2318
        77 0.0343 0.0674 0.0994 0.1301 0.1595 0.1874 0.2138 0.2387 0.2619
        66 0.0392 0.0769 0.1130 0.1473 0.1799 0.2104 0.2389 0.2651 0.2890
        55 0.0441 0.0862 0.1263 0.1642 0.1996 0.2324 0.2623 0.2892 0.3129
        44 0.0490 0.0956 0.1395 0.1806 0.2186 0.2532 0.2841 0.3109 0.3334
        33 0.0539 0.1048 0.1526 0.1967 0.2370 0.2729 0.3040 0.3300 0.3503
        22 0.0588 0.1141 0.1654 0.2124 0.2546 0.2914 0.3222 0.3464 0.3633






        combinations numbers probability in percent ...

        Royal Flush 4 0,00015 %
        Straight Flush 36 0,00135 %
        Four of A Kind 624 0,02 %
        Full House 3744 0,14 %
        Flush 5108 0,20 %
        Straight 10200 0,39 %
        Three of A Kind 54912 2,11 %
        Two Pair 123552 4,75 %
        Pair 1098240 42,25 %
        High Card 1302540 50,13 %







        Favorite-to-underdog matchup Probability Odds for

        Pair vs. 2 undercards 0.83 4.9 : 1
        Pair vs. lower pair 0.82 4.5 : 1
        Pair vs. 1 overcard, 1 undercard 0.71 2.5 : 1
        2 overcards vs. 2 undercards 0.63 1.7 : 1
        Pair vs. 2 overcards 0.55 1.2 : 1







        Holding pocket pair no Overcard on flop no Overcard by turn no Overcard by river


        Prob. Odds Prob. Odds Prob. Odds
        KK 0.7745 0.29 : 1 0.7086 0.41 : 1 0.6470 0.55 : 1
        QQ 0.5857 0.71 : 1 0.4860 1.06 : 1 0.4015 1.49 : 1
        JJ 0.4304 1.32 : 1 0.3205 2.12 : 1 0.2369 3.22 : 1
        TT 0.3053 2.28 : 1 0.2014 3.97 : 1 0.1313 6.61 : 1
        99 0.2071 3.83 : 1 0.1190 7.40 : 1 0.0673 13.87 : 1
        88 0.1327 6.54 : 1 0.0649 14.40 : 1 0.0310 31.21 : 1
        77 0.0786 11.73 : 1 0.0318 30.48 : 1 0.0124 79.46 : 1
        66 0.0416 23.02 : 1 0.0133 74.26 : 1 0.0040 246.29 : 1
        55 0.0186 52.85 : 1 0.0043 229.07 : 1 0.0009 1057.32 : 1
        44 0.0061 162.33 : 1 0.0009 1095.67 : 1 0.0001 8406.78 : 1
        33 0.0010 979.00 : 1 0.0001 15352.33 : 1 0.0000 353125.67 : 1





        SOURCE: Racingpost Definitive Guide To Poker

        Hole Cards Being Dealt Percentage
        A specific pair e.g. AA 0.45%
        KK, QQ, or JJ 1.4%
        1010 through 66 2.3%
        55 through 22 1.8%
        AK suited 0.3%
        AK offsuit 0.9%
        KQ suited 0.3%
        KQ offsuit 0.9%
        AQ or AJ suited 1.8%
        Any pair 5.9%
        Any two suited 23.5%
        Any hand with a pair or an ace 20.4%
        AA through 1010 or any AK or KQ 4.7%






        Nobody has an ace in the hole:

        # of Players % if you have an ace % if you don't have an ace
        2 88% 84%
        3 77% 71%
        4 68% 59%
        5 59% 49%
        6 50% 40%
        7 43% 32%
        8 36% 26%
        9 31% 20%
        10 25% 16%
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              Poker Rules

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