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.