Poker odds 05: 5-draw + joker, two cards to trips (b)

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 5 – Five-card draw:
Drawing two to three-of-a-kind
Making specific hands or better
(53-card deck – including joker)

A) You draw two to a K♠ K♣ K♦, discarding 3♦ 2♥…
The probability that you will make at least… Expressed in percent (%) is… The odds against it are… Number of possible combos
4-Kings 4.17 23 to 1 47
Kings-Full 10.37 8.64 to 1 117
No Help 89.63 0.12 to 1 1,011
B) You draw two to A♣ A♥ A♠, discarding 3♦ 2♣… 
The probability that you will make at least… Expressed in percent (%) is… The odds against it are… Number of possible combos
5-Aces 0.09 1,127 to 1 1
4-Aces 8.24 11.1 to 1 93
Aces-Full  14.10 6.09 to 1 159
No Help 85.90 0.16 to 1 969

Number of possible outcomes: 1,128

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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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