“Mad Genius” ego damage and the nature of poker
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Gambling, Motivation, POKER
Book (Caro on Gambling) 03. Winning attitude
Gambling, Motivation
Brunson: A state of mind
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Brunson: Don’t let weak opponents escape
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Brunson: Feeling good in the morning
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Brunson: Poker and superstition
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Brunson: Preparing to win
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Brunson: The road game route to profit
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Brunson: We appreciate recreational players
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Brunson: Women in poker
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Caro’s Peak Poker Theory explained
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Do you really want to play poker full time?
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Exploring even more of poker’s hidden concepts
Manipulation, Motivation, POKER
Exploring poker’s most profitable hidden concepts
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≡ Content above: Poker1 Phase2a specification ≡

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.

“Mad Genius” ego damage and the nature of poker
Biographical, Image, Motivation, Psychology
Book (Caro on Gambling) 01. Plodders
Bankroll, Gambling, Image, Motivation
Book (Caro on Gambling) 02. God of Irony
Gambling, Motivation, POKER
Book (Caro on Gambling) 03. Winning attitude
Gambling, Motivation
Brunson: A state of mind
Entries by others, Motivation, Other games
Brunson: Don’t let weak opponents escape
Entries by others, Manipulation, Motivation, Tournaments
Brunson: Feeling good in the morning
Entries by others, General, Motivation
Brunson: Final
Entries by others, General, Motivation, Psychology
Brunson: Human kindness
Entries by others, General, Motivation
Brunson: Letting opponents tie their own nooses
Entries by others, General, Image, Manipulation, Motivation, Strategy
Brunson: Poker and superstition
Entries by others, Motivation
Brunson: Preparing to win
Entries by others, General, Motivation
Brunson: The road game route to profit
Entries by others, Motivation
Brunson: We appreciate recreational players
Entries by others, General, Motivation
Brunson: Who shouldn’t play poker?
Entries by others, Motivation
Brunson: Women in poker
Entries by others, General, Motivation
Caro’s Peak Poker Theory explained
ALL (newest first), Bankroll, Motivation, POKER, Psychology
Do you really want to play poker full time?
Bankroll, Motivation, Tournaments
Exploring even more of poker’s hidden concepts
Manipulation, Motivation, POKER
Exploring poker’s most profitable hidden concepts
Motivation, POKER, Strategy
1 2 3 8

Everything is everywhere

Any Poker1 page takes you anyplace you want to go!

Poker1 

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→ Collections
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↓ Tip collections ↓

All*  •  Gambling*  •  Life*  •  Poker*  •  Various*

↓ Contributor collections ↓

Brunson  •  Caro  •  McHaffie  •  Wiesenberg  •  Others*

↓ More collections ↓

Poker1 FAQ  •  Poker-tell videos  •  Review of poker lessons

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* Any collection followed by an asterisk ( * ) has no entries yet.

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Published by

Mike Caro

Visit Mike on   → Twitter   ♠ OR ♠    → FaceBook

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.

One thought on “MCU poker odds: razz (7-low) improvement”

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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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