Poker odds 03: 5-draw + joker, one-card chances

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 3 – Five-card draw:
Basic one-card high drawing chances
(53-card deck – including Joker)

You’re drawing one card to…

Probability of making a complete hand expressed in percent (%) is…

Odds against making a complete hand are…

876Joker (22-way hand)

45.83

1.18 to 1

97♥ 6Joker (19-way hand)

39.58

1.53 to 1

654♦Joker or
6910♦ Joker or
J♠ 10♠ 9♠ 8♠ (16-way hands)

33.33

2 to 1

K♣ J♣ 10♣ 9♣ (13-way hand)

27.08

2.69 to 1

6♦ 53Joker (12-way Straight)

25.00

3 to 1

K♥ 8♥ 7♥ 4♥ (Flush)

20.83

3.8 to 1

9♦ 8♣ 7♠ 6♦ (Open-end Straight)

18.75

4.33 to 1

J♠ 10♠ 8♦ 7♦ (Inside Straight)

10.42

8.6 to 1

A♦ A♥ 7♣ 7♠ (Aces-up)

10.42

8.6 to 1

7♦ 74♠ 4♦(Small Two-Pair)*

8.33

11 to 1

A♦ A♥ A♠ 4♦ (Three Aces with kicker)*

10.42

8.6 to 1

8♣ 8♥ 8♠ A♦ (Trips with Ace kicker)*

10.42

8.6 to 1

5♦ 5♥ 5♣ K♣ (Trips with non-Ace kicker)*

8.33

11 to 1

* Four-of-a-kind counts as a complete hand

(Note: Mike Caro added category for trips with non-ace kicker to this table 2010-03-28. They are the same as improving when drawing to two small pair. Addition is only at new Poker1.com.)

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.