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popular queries: AAA, AKK, AKQ, ... |

non-flush example | flush example |

distribution of hand types | ||||
---|---|---|---|---|

distinct | combinations | probability | odds | |

royal flush | 0 | 0 | impossible |
impossible |

straight flush | 0 | 0 | impossible |
impossible |

four of a kind | 1 | 4 | 0.02% | 1 : 6260 |

full house | 2 | 48 | 0.19% | 1 : 521 |

flush | 0 | 0 | impossible |
impossible |

straight | 0 | 0 | impossible |
impossible |

three of a kind | 11 | 704 | 2.81% | 1 : 34.6 |

two pairs | 22 | 3,168 | 12.65% | 1 : 6.91 |

one pair | 55 | 21,120 | 84.33% | 5.38 : 1 |

high card | 0 | 0 | impossible |
impossible |

total | 91 | 25,044 | 100 % |

therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.

ranking of all 91 distinct hole cards | |||||||
---|---|---|---|---|---|---|---|

hole cards | hand | category | combinations | probability | odds | equity | |

nuts | 33 | K3333 | four of a kind | 4 | 0.02% | 1 : 6260 | 100.00% |

2 | KK | KKK33 | full house | 24 | 0.10% | 1 : 1043 | 99.98% |

3 | K3 | KK333 | full house | 24 | 0.10% | 1 : 1043 | 99.89% |

4 | A3 | AK333 | three of a kind | 64 | 0.26% | 1 : 390 | 99.79% |

5 | Q3 | KQ333 | three of a kind | 64 | 0.26% | 1 : 390 | 99.54% |

6 | J3 | KJ333 | three of a kind | 64 | 0.26% | 1 : 390 | 99.28% |

7 | T3 | KT333 | three of a kind | 64 | 0.26% | 1 : 390 | 99.03% |

8 | 93 | K9333 | three of a kind | 64 | 0.26% | 1 : 390 | 98.77% |

9 | 83 | K8333 | three of a kind | 64 | 0.26% | 1 : 390 | 98.51% |

10 | 73 | K7333 | three of a kind | 64 | 0.26% | 1 : 390 | 98.26% |

11 | 63 | K6333 | three of a kind | 64 | 0.26% | 1 : 390 | 98.00% |

12 | 53 | K5333 | three of a kind | 64 | 0.26% | 1 : 390 | 97.75% |

13 | 43 | K4333 | three of a kind | 64 | 0.26% | 1 : 390 | 97.49% |

14 | 32 | K3332 | three of a kind | 64 | 0.26% | 1 : 390 | 97.24% |

15 | AA | AAK33 | two pairs | 144 | 0.57% | 1 : 173 | 96.98% |

16 | AK | AKK33 | two pairs | 144 | 0.57% | 1 : 173 | 96.41% |

17 | KQ | KKQ33 | two pairs | 144 | 0.57% | 1 : 173 | 95.83% |

18 | KJ | KKJ33 | two pairs | 144 | 0.57% | 1 : 173 | 95.26% |

19 | KT | KKT33 | two pairs | 144 | 0.57% | 1 : 173 | 94.68% |

20 | K9 | KK933 | two pairs | 144 | 0.57% | 1 : 173 | 94.11% |

21 | K8 | KK833 | two pairs | 144 | 0.57% | 1 : 173 | 93.53% |

22 | K7 | KK733 | two pairs | 144 | 0.57% | 1 : 173 | 92.96% |

23 | K6 | KK633 | two pairs | 144 | 0.57% | 1 : 173 | 92.38% |

24 | K5 | KK533 | two pairs | 144 | 0.57% | 1 : 173 | 91.81% |

25 | K4 | KK433 | two pairs | 144 | 0.57% | 1 : 173 | 91.23% |

26 | K2 | KK332 | two pairs | 144 | 0.57% | 1 : 173 | 90.66% |

27 | KQQ33 | two pairs | 144 | 0.57% | 1 : 173 | 90.08% | |

28 | JJ | KJJ33 | two pairs | 144 | 0.57% | 1 : 173 | 89.51% |

29 | TT | KTT33 | two pairs | 144 | 0.57% | 1 : 173 | 88.93% |

30 | 99 | K9933 | two pairs | 144 | 0.57% | 1 : 173 | 88.36% |

31 | 88 | K8833 | two pairs | 144 | 0.57% | 1 : 173 | 87.78% |

32 | 77 | K7733 | two pairs | 144 | 0.57% | 1 : 173 | 87.21% |

33 | 66 | K6633 | two pairs | 144 | 0.57% | 1 : 173 | 86.63% |

34 | 55 | K5533 | two pairs | 144 | 0.57% | 1 : 173 | 86.06% |

35 | 44 | K4433 | two pairs | 144 | 0.57% | 1 : 173 | 85.48% |

36 | 22 | K3322 | two pairs | 144 | 0.57% | 1 : 173 | 84.91% |

37 | AQ | AKQ33 | one pair | 384 | 1.53% | 1 : 64.2 | 84.33% |

38 | AJ | AKJ33 | one pair | 384 | 1.53% | 1 : 64.2 | 82.80% |

39 | AT | AKT33 | one pair | 384 | 1.53% | 1 : 64.2 | 81.26% |

40 | A9 | AK933 | one pair | 384 | 1.53% | 1 : 64.2 | 79.73% |

41 | A8 | AK833 | one pair | 384 | 1.53% | 1 : 64.2 | 78.20% |

42 | A7 | AK733 | one pair | 384 | 1.53% | 1 : 64.2 | 76.67% |

43 | A6 | AK633 | one pair | 384 | 1.53% | 1 : 64.2 | 75.13% |

44 | A5 | AK533 | one pair | 384 | 1.53% | 1 : 64.2 | 73.60% |

45 | A4 | AK433 | one pair | 384 | 1.53% | 1 : 64.2 | 72.07% |

46 | A2 | AK332 | one pair | 384 | 1.53% | 1 : 64.2 | 70.53% |

47 | QJ | KQJ33 | one pair | 384 | 1.53% | 1 : 64.2 | 69.00% |

48 | QT | KQT33 | one pair | 384 | 1.53% | 1 : 64.2 | 67.47% |

49 | Q9 | KQ933 | one pair | 384 | 1.53% | 1 : 64.2 | 65.93% |

50 | Q8 | KQ833 | one pair | 384 | 1.53% | 1 : 64.2 | 64.40% |

51 | Q7 | KQ733 | one pair | 384 | 1.53% | 1 : 64.2 | 62.87% |

52 | Q6 | KQ633 | one pair | 384 | 1.53% | 1 : 64.2 | 61.33% |

53 | Q5 | KQ533 | one pair | 384 | 1.53% | 1 : 64.2 | 59.80% |

54 | Q4 | KQ433 | one pair | 384 | 1.53% | 1 : 64.2 | 58.27% |

55 | Q2 | KQ332 | one pair | 384 | 1.53% | 1 : 64.2 | 56.73% |

56 | JT | KJT33 | one pair | 384 | 1.53% | 1 : 64.2 | 55.20% |

57 | J9 | KJ933 | one pair | 384 | 1.53% | 1 : 64.2 | 53.67% |

58 | J8 | KJ833 | one pair | 384 | 1.53% | 1 : 64.2 | 52.13% |

59 | J7 | KJ733 | one pair | 384 | 1.53% | 1 : 64.2 | 50.60% |

60 | J6 | KJ633 | one pair | 384 | 1.53% | 1 : 64.2 | 49.07% |

61 | J5 | KJ533 | one pair | 384 | 1.53% | 1 : 64.2 | 47.53% |

62 | J4 | KJ433 | one pair | 384 | 1.53% | 1 : 64.2 | 46.00% |

63 | J2 | KJ332 | one pair | 384 | 1.53% | 1 : 64.2 | 44.47% |

64 | T9 | KT933 | one pair | 384 | 1.53% | 1 : 64.2 | 42.93% |

65 | T8 | KT833 | one pair | 384 | 1.53% | 1 : 64.2 | 41.40% |

66 | T7 | KT733 | one pair | 384 | 1.53% | 1 : 64.2 | 39.87% |

67 | T6 | KT633 | one pair | 384 | 1.53% | 1 : 64.2 | 38.33% |

68 | T5 | KT533 | one pair | 384 | 1.53% | 1 : 64.2 | 36.80% |

69 | T4 | KT433 | one pair | 384 | 1.53% | 1 : 64.2 | 35.27% |

70 | T2 | KT332 | one pair | 384 | 1.53% | 1 : 64.2 | 33.73% |

71 | 98 | K9833 | one pair | 384 | 1.53% | 1 : 64.2 | 32.20% |

72 | 97 | K9733 | one pair | 384 | 1.53% | 1 : 64.2 | 30.67% |

73 | 96 | K9633 | one pair | 384 | 1.53% | 1 : 64.2 | 29.13% |

74 | 95 | K9533 | one pair | 384 | 1.53% | 1 : 64.2 | 27.60% |

75 | 94 | K9433 | one pair | 384 | 1.53% | 1 : 64.2 | 26.07% |

76 | 92 | K9332 | one pair | 384 | 1.53% | 1 : 64.2 | 24.53% |

77 | 87 | K8733 | one pair | 384 | 1.53% | 1 : 64.2 | 23.00% |

78 | 86 | K8633 | one pair | 384 | 1.53% | 1 : 64.2 | 21.47% |

79 | 85 | K8533 | one pair | 384 | 1.53% | 1 : 64.2 | 19.93% |

80 | 84 | K8433 | one pair | 384 | 1.53% | 1 : 64.2 | 18.40% |

81 | 82 | K8332 | one pair | 384 | 1.53% | 1 : 64.2 | 16.87% |

82 | 76 | K7633 | one pair | 384 | 1.53% | 1 : 64.2 | 15.33% |

83 | 75 | K7533 | one pair | 384 | 1.53% | 1 : 64.2 | 13.80% |

84 | 74 | K7433 | one pair | 384 | 1.53% | 1 : 64.2 | 12.27% |

85 | 72 | K7332 | one pair | 384 | 1.53% | 1 : 64.2 | 10.73% |

86 | 65 | K6533 | one pair | 384 | 1.53% | 1 : 64.2 | 9.20% |

87 | 64 | K6433 | one pair | 384 | 1.53% | 1 : 64.2 | 7.67% |

88 | 62 | K6332 | one pair | 384 | 1.53% | 1 : 64.2 | 6.13% |

89 | 54 | K5433 | one pair | 384 | 1.53% | 1 : 64.2 | 4.60% |

90 | 52 | K5332 | one pair | 384 | 1.53% | 1 : 64.2 | 3.07% |

91 | 42 | K4332 | one pair | 384 | 1.53% | 1 : 64.2 | 1.53% |

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