Poker odds 04: 5-draw + joker, two cards to trips (a)

Monday
March 29, 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 4 – Five-card draw:
Drawing two to three-of-a-kind
Making specific hands
(53-card deck – including joker)

A) You draw two to a K♠ K♣ K♦ , discarding 3♦ 2♥…

The probability that you will make…

Expressed in percent (%) is…

The odds against it are…

Number of possible combos

4-Kings

4.17

23 to 1

47

Kings-Full

6.21

15.1 to 1

70

B) You draw two to A♣ A♥ A♠ , discarding 3♦ 2♣…

The probability that you will make…

Expressed in percent (%) is…

The odds against it are…

Number of possible combos

5-Aces

0.09

1,127 to 1

1

4-Aces

8.16

11.3 to 1

92

Aces-Full

5.85

16.1 to 1

66

Number of possible outcomes: 1,128

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.