MCU poker odds: razz (7-low) improvement

  • By Mike Caro | Exit

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Note: The odds given in this table were calculated personally by Mike Caro in 1976. These statistics appeared in Doyle Brunson’s original Super/System — A Course in Power Poker (1978) as Table XLVI (Table 46).

This table was also published at Mike Caro’s original Poker1.com. The version below has been reformatted for the new Poker1.


Index to MCU poker odds (statistical tables)

Chance of improvement for various seven-card low (razz) hands

If You Have 3♥ – 2♣ – A♦:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

7.15

11.80

18.95

14.30

33.25

15.02

48.27

13.0 to 1

7.48 to 1

4.28 to 1

5.99 to 1

2.01 to 1

5.66 to 1

1.07 to 1

 

If You Have 2♠ – A♥ – K♦:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

1.25

3.40

4.65

6.07

10.73

8.91

19.63

78.8 to 1

28.4 to 1

20.5 to 1

15.5 to 1

8.33 to 1

10.22 to 1

4.09 to 1

 

If You Have A♦ – Q♣ – K♦:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

0.12

0.48

0.60

1.21

1.81

2.42

4.23

827 to 1

206 to 1

165 to 1

81.8 to 1

54.2 to 1

40.4 to 1

22.6 to 1

 

If You Have 4♣ – 3♠ – 2♠ – A♣:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

23.43

19.45

42.88

15.84

58.72

12.60

71.32

3.27 to 1

4.14 to 1

1.33 to 1

5.31 to 1

0.70 to 1

6.93 to 1

0.40 to 1

 

If You Have 3♦ – 2♦ – A♣ – K♦:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

3.98

7.22

11.19

9.71

20.90

11.47

32.38

24.1 to 1

12.9 to 1

7.93 to 1

9.30 to 1

3.78 to 1

7.72 to 1

2.09 to 1

 

If You Have 2♣ – A♥ – Q♣ – K♦:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

0.37

1.11

1.48

2.22

3.70

3.70

7.40

269 to 1

89.1 to 1

66.6 to 1

44.0to 1

26.0 to 1

26.0 to 1

12.5 to 1

 

If You Have 4♣ – 3♥ – 2♣ – A♦ – K♦:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

16.47

14.99

31.45

13.51

44.96

12.03

56.98

5.07 to 1

5.67 to 1

2.18 to 1

6.40 to 1

1.22 to 1

7.32 to 1

0.75 to 1

 

If You Have 3♦ – 2♣ – A♥ – Q♠ – K♥:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

1.48

2.96

4.44

4.44

8.88

5.92

14.80

66.6 to 1

32.8 to 1

21.5 to 1

21.5 to 1

10.3 to 1

15.9 to 1

5.76 to 1

 

If You Have 4♣ – 3♣ – 2♥ – A♣ – K♦ – Q♠:
The probability that the final strength of your hand
after seven cards will be…
Expressed in percent (%) is… The odds against it are…
Bicycle (5-4-3-2-A)

Six-High

Six-High (or better)

Seven-High

Seven-High (or better)

Eight-High

Eight-High (or better)

8.70

8.70

17.39

8.70

26.09

8.70

34.78

10.5 to 1

10.5 to 1

4.75 to 1

10.5 to 1

2.83 to 1

10.5 to 1

1.88 to 1

  • With four cards to come, there are 211,876 possible outcomes.
  • With three cards to come, there are 17,296 possible outcomes.
  • With two cards to come, there are 1,081 possible outcomes.
  • With one card to come, there are 46 possible outcomes.

Note: This chart assumes no knowledge of exposed cards in other hands.

Published by

Mike Caro

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Known as the “Mad Genius of Poker,” Mike Caro is generally regarded as today's foremost authority on poker strategy, psychology, and statistics. He is the founder of Mike Caro University of Poker, Gaming, and Life Strategy (MCU). See full bio → HERE.

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  1. Cooooooolllll man. I would really like some odds for stud hi low 8. Like scooping odds for starting hands like, ace 2 3 suited or, 4 5 6 suited, or 4 5 suited, with a non-suited 6, or gapped suited connectors. Thank you Mr.Caro!.

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