Poker odds 01: 5-draw + joker, hands pre-draw

Sunday
March 21, 2010

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 1 — Five-card draw:
Probability of being dealt specific hands 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

14,066 to 1

119,569 to 1

15,942 to 1

204

24

180

FOUR-OF-A-KIND

0.03

3,465 to 1

828

FULL HOUSE

0.15

656 to 1

4,368

FLUSH

0.27

367 to 1

7,804

STRAIGHT

0.71

139 to 1

20,532

THREE-OF-A-KIND

3 Aces

Three-of-a-kind

(Large: K’s – 8’s)

Three-of-a-kind

(Small: 7’s – 2’s)

2.21

0.37

0.92

 

0.92

44.3 to 1

271 to 1

108 to 1

 

108 to 1

63,360

10,560

26,400

 

26,400

TWO-PAIR

Aces-up

K-up, Q-up, J-up

Small Two-Pair

(Tens-up and under)

4.83

1.10

1.69

2.03

19.7 to 1

89.6 to 1

58.0 to 1

48.2 to 1

138,600

31,680

48,600

58,320

ONE PAIR

42.34

1.36 to 1

1,215,024

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

Aces

Kings

Queens

Jacks

14.19

4.81

3.13

3.13

3.13

6.05 to 1

19.8 to 1

31.0 to 1

31.0 to 1

31.0 to 1

407,184

137,904

89,760

89,760

89,760

SHORTS

Shorts (Large: 10’s – 7’s)

Shorts (Small: 6’s – 2’s)

28.15

12.51

15.64

2.55 to 1

6.99 to 1

5.39 to 1

807,840

359,040

448,800

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.