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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 | 55 | 85555 | four of a kind | 4 | 0.02% | 1 : 6260 | 100.00% |

2 | 88 | 88855 | full house | 24 | 0.10% | 1 : 1043 | 99.98% |

3 | 85 | 88555 | full house | 24 | 0.10% | 1 : 1043 | 99.89% |

4 | A5 | A8555 | three of a kind | 64 | 0.26% | 1 : 390 | 99.79% |

5 | K5 | K8555 | three of a kind | 64 | 0.26% | 1 : 390 | 99.54% |

6 | Q5 | Q8555 | three of a kind | 64 | 0.26% | 1 : 390 | 99.28% |

7 | J5 | J8555 | three of a kind | 64 | 0.26% | 1 : 390 | 99.03% |

8 | T5 | T8555 | three of a kind | 64 | 0.26% | 1 : 390 | 98.77% |

9 | 95 | 98555 | three of a kind | 64 | 0.26% | 1 : 390 | 98.51% |

10 | 75 | 87555 | three of a kind | 64 | 0.26% | 1 : 390 | 98.26% |

11 | 65 | 86555 | three of a kind | 64 | 0.26% | 1 : 390 | 98.00% |

12 | 54 | 85554 | three of a kind | 64 | 0.26% | 1 : 390 | 97.75% |

13 | 53 | 85553 | three of a kind | 64 | 0.26% | 1 : 390 | 97.49% |

14 | 52 | 85552 | three of a kind | 64 | 0.26% | 1 : 390 | 97.24% |

15 | AA | AA855 | two pairs | 144 | 0.57% | 1 : 173 | 96.98% |

16 | KK | KK855 | two pairs | 144 | 0.57% | 1 : 173 | 96.41% |

17 | QQ855 | two pairs | 144 | 0.57% | 1 : 173 | 95.83% | |

18 | JJ | JJ855 | two pairs | 144 | 0.57% | 1 : 173 | 95.26% |

19 | TT | TT855 | two pairs | 144 | 0.57% | 1 : 173 | 94.68% |

20 | 99 | 99855 | two pairs | 144 | 0.57% | 1 : 173 | 94.11% |

21 | A8 | A8855 | two pairs | 144 | 0.57% | 1 : 173 | 93.53% |

22 | K8 | K8855 | two pairs | 144 | 0.57% | 1 : 173 | 92.96% |

23 | Q8 | Q8855 | two pairs | 144 | 0.57% | 1 : 173 | 92.38% |

24 | J8 | J8855 | two pairs | 144 | 0.57% | 1 : 173 | 91.81% |

25 | T8 | T8855 | two pairs | 144 | 0.57% | 1 : 173 | 91.23% |

26 | 98 | 98855 | two pairs | 144 | 0.57% | 1 : 173 | 90.66% |

27 | 87 | 88755 | two pairs | 144 | 0.57% | 1 : 173 | 90.08% |

28 | 86 | 88655 | two pairs | 144 | 0.57% | 1 : 173 | 89.51% |

29 | 84 | 88554 | two pairs | 144 | 0.57% | 1 : 173 | 88.93% |

30 | 83 | 88553 | two pairs | 144 | 0.57% | 1 : 173 | 88.36% |

31 | 82 | 88552 | two pairs | 144 | 0.57% | 1 : 173 | 87.78% |

32 | 77 | 87755 | two pairs | 144 | 0.57% | 1 : 173 | 87.21% |

33 | 66 | 86655 | two pairs | 144 | 0.57% | 1 : 173 | 86.63% |

34 | 44 | 85544 | two pairs | 144 | 0.57% | 1 : 173 | 86.06% |

35 | 33 | 85533 | two pairs | 144 | 0.57% | 1 : 173 | 85.48% |

36 | 22 | 85522 | two pairs | 144 | 0.57% | 1 : 173 | 84.91% |

37 | AK | AK855 | one pair | 384 | 1.53% | 1 : 64.2 | 84.33% |

38 | AQ | AQ855 | one pair | 384 | 1.53% | 1 : 64.2 | 82.80% |

39 | AJ | AJ855 | one pair | 384 | 1.53% | 1 : 64.2 | 81.26% |

40 | AT | AT855 | one pair | 384 | 1.53% | 1 : 64.2 | 79.73% |

41 | A9 | A9855 | one pair | 384 | 1.53% | 1 : 64.2 | 78.20% |

42 | A7 | A8755 | one pair | 384 | 1.53% | 1 : 64.2 | 76.67% |

43 | A6 | A8655 | one pair | 384 | 1.53% | 1 : 64.2 | 75.13% |

44 | A4 | A8554 | one pair | 384 | 1.53% | 1 : 64.2 | 73.60% |

45 | A3 | A8553 | one pair | 384 | 1.53% | 1 : 64.2 | 72.07% |

46 | A2 | A8552 | one pair | 384 | 1.53% | 1 : 64.2 | 70.53% |

47 | KQ | KQ855 | one pair | 384 | 1.53% | 1 : 64.2 | 69.00% |

48 | KJ | KJ855 | one pair | 384 | 1.53% | 1 : 64.2 | 67.47% |

49 | KT | KT855 | one pair | 384 | 1.53% | 1 : 64.2 | 65.93% |

50 | K9 | K9855 | one pair | 384 | 1.53% | 1 : 64.2 | 64.40% |

51 | K7 | K8755 | one pair | 384 | 1.53% | 1 : 64.2 | 62.87% |

52 | K6 | K8655 | one pair | 384 | 1.53% | 1 : 64.2 | 61.33% |

53 | K4 | K8554 | one pair | 384 | 1.53% | 1 : 64.2 | 59.80% |

54 | K3 | K8553 | one pair | 384 | 1.53% | 1 : 64.2 | 58.27% |

55 | K2 | K8552 | one pair | 384 | 1.53% | 1 : 64.2 | 56.73% |

56 | QJ | QJ855 | one pair | 384 | 1.53% | 1 : 64.2 | 55.20% |

57 | QT | QT855 | one pair | 384 | 1.53% | 1 : 64.2 | 53.67% |

58 | Q9 | Q9855 | one pair | 384 | 1.53% | 1 : 64.2 | 52.13% |

59 | Q7 | Q8755 | one pair | 384 | 1.53% | 1 : 64.2 | 50.60% |

60 | Q6 | Q8655 | one pair | 384 | 1.53% | 1 : 64.2 | 49.07% |

61 | Q4 | Q8554 | one pair | 384 | 1.53% | 1 : 64.2 | 47.53% |

62 | Q3 | Q8553 | one pair | 384 | 1.53% | 1 : 64.2 | 46.00% |

63 | Q2 | Q8552 | one pair | 384 | 1.53% | 1 : 64.2 | 44.47% |

64 | JT | JT855 | one pair | 384 | 1.53% | 1 : 64.2 | 42.93% |

65 | J9 | J9855 | one pair | 384 | 1.53% | 1 : 64.2 | 41.40% |

66 | J7 | J8755 | one pair | 384 | 1.53% | 1 : 64.2 | 39.87% |

67 | J6 | J8655 | one pair | 384 | 1.53% | 1 : 64.2 | 38.33% |

68 | J4 | J8554 | one pair | 384 | 1.53% | 1 : 64.2 | 36.80% |

69 | J3 | J8553 | one pair | 384 | 1.53% | 1 : 64.2 | 35.27% |

70 | J2 | J8552 | one pair | 384 | 1.53% | 1 : 64.2 | 33.73% |

71 | T9 | T9855 | one pair | 384 | 1.53% | 1 : 64.2 | 32.20% |

72 | T7 | T8755 | one pair | 384 | 1.53% | 1 : 64.2 | 30.67% |

73 | T6 | T8655 | one pair | 384 | 1.53% | 1 : 64.2 | 29.13% |

74 | T4 | T8554 | one pair | 384 | 1.53% | 1 : 64.2 | 27.60% |

75 | T3 | T8553 | one pair | 384 | 1.53% | 1 : 64.2 | 26.07% |

76 | T2 | T8552 | one pair | 384 | 1.53% | 1 : 64.2 | 24.53% |

77 | 97 | 98755 | one pair | 384 | 1.53% | 1 : 64.2 | 23.00% |

78 | 96 | 98655 | one pair | 384 | 1.53% | 1 : 64.2 | 21.47% |

79 | 94 | 98554 | one pair | 384 | 1.53% | 1 : 64.2 | 19.93% |

80 | 93 | 98553 | one pair | 384 | 1.53% | 1 : 64.2 | 18.40% |

81 | 92 | 98552 | one pair | 384 | 1.53% | 1 : 64.2 | 16.87% |

82 | 76 | 87655 | one pair | 384 | 1.53% | 1 : 64.2 | 15.33% |

83 | 74 | 87554 | one pair | 384 | 1.53% | 1 : 64.2 | 13.80% |

84 | 73 | 87553 | one pair | 384 | 1.53% | 1 : 64.2 | 12.27% |

85 | 72 | 87552 | one pair | 384 | 1.53% | 1 : 64.2 | 10.73% |

86 | 64 | 86554 | one pair | 384 | 1.53% | 1 : 64.2 | 9.20% |

87 | 63 | 86553 | one pair | 384 | 1.53% | 1 : 64.2 | 7.67% |

88 | 62 | 86552 | one pair | 384 | 1.53% | 1 : 64.2 | 6.13% |

89 | 43 | 85543 | one pair | 384 | 1.53% | 1 : 64.2 | 4.60% |

90 | 42 | 85542 | one pair | 384 | 1.53% | 1 : 64.2 | 3.07% |

91 | 32 | 85532 | one pair | 384 | 1.53% | 1 : 64.2 | 1.53% |

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