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≡ Content above: Poker1 Phase2a specification ≡

Poker odds 02: 5-draw + joker, hands or better pre-draw

Note: All odds tables at Poker1.com were personally calculated by Mike Caro, unless otherwise specified. Many were done in the early 1970s and included in the original Doyle Brunson Super/System — A Course in Power Poker, first published in 1978.

At the time of publication, there were few, if any, reliable sources for poker odds. The 50 often-cited tables stood the test of time and remain unchallenged to this day.

Index of all poker odds tables


TABLE 2 — Five-card draw:
Probability of being dealt specific hands OR BETTER before the draw
(53-card deck – including joker)

The probability of being dealt… (before the draw)

Expressed in percent (%) is…

The odds against it are…

Number of possible combos

5 ACES

0.00*

2,869,684 to 1

1

STRAIGHT-FLUSH

Royal Flush

Other Straight-Flush

0.01

0.00**

0.01

13,997 to 1

114,786 to 1

13,997 to 1

205

25

205

FOUR-OF-A-KIND

0.04

2,777 to 1

1,033

FULL HOUSE

0.19

530 to 1

5,401

FLUSH

0.46

216 to 1

13,205

STRAIGHT

1.18

84.1 to 1

33,737

THREE-OF-A-KIND

3 Aces

Three-of-a-kind

(Large: K’s – 8’s)

Three-of-a-kind

(Small: 7’s – 2’s)

3.38

1.54

2.46

 

3.38

28.6 to 1

63.8 to 1

39.6 to 1

 

28.6 to 1

97,097

44,297

70,697

 

97,097

TWO-PAIR

Aces-up

K-up, Q-up, J-up

Small Two-Pair

(Tens-up and under)

8.21

4.49

6.18

8.21

11.2 to 1

21.3 to 1

15.2 to 1

11.2 to 1

235, 697

128,777

177,377

235,697

ONE PAIR

50.55

0.98 to 1

1,450,721

PAIR OF A,K,Q,J (Openers)

Aces

Kings

Queens

Jacks

22.40

13.02

16.15

19.27

22.40

3.46 to 1

6.68 to 1

5.19 to 1

4.19 to 1

3.46 to 1

642,881

373,601

463,361

553,121

642,881

SHORTS

Shorts (Large: 10’s – 7’s)

Shorts (Small: 6’s – 2’s)

50.55

34.91

50.55

0.98 to 1

1.86 to 1

0.98 to 1

1,450,721

1,001,921

1,450,721

* Actually 0.000035%                   ** Actually 0.000871%

Note: All tables in this series follow the same logical construction; however tables 1 through 4 are formatted slightly differently. This is an experimental application of the new Poker1 typography and may eventually be applied to the other tables.

Everyone is not entitled to an opinion!
Life, POKER, Tournaments
Eye surgeries delay P1 opening 12 days (Caro blog)
BLOG, Life, Personal
Fast 2014-09-16: Murder of contemporary music
ADDED FAST, ALL (newest first), AUDIO AND VIDEO, Controversy, Life, Thoughts, Video
Fast 2014-11-04: Strange slogan at my polling place
ADDED FAST, ALL (newest first), Life, Thoughts
Fast 2014-11-29: Atheist billboard misunderstood
ADDED FAST, ALL (newest first), Controversy, Exclude ads, Life, News
Fast 2014-12-18: Tell Sony to release movie
ADDED FAST, ALL (newest first), Controversy, Exclude ads, Life, News
Fast 2015-01-16: Movie Gravity not science fiction
ADDED FAST, ALL (newest first), Life
I used to be mentally retarded (Caro blog)
BLOG, Life, Personal, Psychology
I wake up with 311-point Scrabble word (Caro blog)
BLOG, Life, Personal
Improving your poker position
General, Life advice
Index: Life
Life, SPECIAL INFO
McHaffie: MCU lesson 021 / “Threshold of Misery”
Entries by others, General, Life tips, Motivation
MCU life tip: Change foes to friends by seeking advice
Life tips, POKER
MCU life tip: How everyday irritations stop success
Life tips
MCU life tip: If you can’t win immediately, act last
ALL (newest first), Life tips
MCU life tip: It wasn’t always obvious
ALL (newest first), Life tips
MCU life tip: The risk of not doing it
ALL (newest first), Life tips
MCU life tip: Where to find the truth
By Mike Caro | A short and simple Mike Caro quote that is worth pondering and remembering.
Life tips
Mike Caro “In the beginning” mantra explained
Gambling, Life advice
Mike Caro poker word is Bet
General, Life advice

Everything is everywhere

Any Poker1 page takes you anyplace you want to go!

Poker1 

Megadex

Poker1 universe —
all in one place.

→ Collections
Special Poker1 groups

Poker1 Megadex tools

— main navigation departments —

Collections

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↓ Major collections ↓

Gambling  •  Hold 'em  •  Info  •  Life beyond poker

Poker (all)  •  Poker dictionary  •  Poker psychology

Poker statistics  •  Poker strategy  •  Poker tells

Prediction*  •  Shopping  •  Zone 2*

↓ 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

Sunday sessions*  •  Targeted poker quizzes  •  Tuesday sessions

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

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≡ Content above: Poker1 Phase2a specification ≡

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.

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