Texas Holdem - Odds and Probabilities


It can be handy to know the odds and probabilities of being dealt various card combinations in texas hold'em. Below you will find various probabilities encountered in the game.

Glossary:

Starting Hands - Initial two cards dealt to and held by the player
Flop - Three cards dealt face up to the table after the first betting round
Turn - Fourth card dealt face up after the next betting round
River - Fifth and final card dealt face up before the final betting round


Hold'em Starting Hands - Probability of being dealt:
Odds
%
Pocket Aces
220:1
0.45
Any Pocket Pair
16:1
5.9
Ace - King suited
330:1
0.3
Ace - King offsuit
110:1
0.9
Ace - King suited OR unsuited
82:1
1.2
Any two suited cards
3.3:1
24.0
Pocker Aces OR Pocket Kings
110:1
0.9
Pocket Aces, Pocket Kings OR Ace-King
46:1
2.1
Any Pocket Pair OR two cards ten or higher
4.5:1
18.0
Any Pocket Pair of Sevens OR higher
5.4:1
16.0
Taking a pocket pair to the river, to make a set or better
4.2:1
19.0
Taking two suited cards to the River to make a Flush
15:1
6.4
Making a Flush by the River with two unsuited cards
53:1
1.8

Probability of making on the FLOP in Hold'Em:
Odds
%
With any Pocket Pair to make a Set
8.3:1
10.8
With any Pocket Pair to make a Full House
136:1
0.74
With any Pocket Pair to make Four of A Kind (Quads)
407:1
0.25
A Flush from two suited cards
118:1
0.84
Four cards to a Flush from TWO suited cards
8.1:1
10.9
Three cards to a Flush from TWO suited cards
1.4:1
41.6
Four cards to a Flush from ONE suited cards
88:1
1.1
Three cards to a Flush from ONE suited card
6.8:1
12.8

Probability of cards hitting the FLOP in Hold'Em:
Odds
%
Three of a Kind 424:1 0.24
a Pair 5:1 17.0
Three suited cards 18:1 5.2
Two suited cards 0.8 55.0
No suited cards (rainbow flop) 1.5:1 40.0
Three cards to a Straight 28:1 3.5
Two cards to a Straight 1.5:1 40.0
No Straight cards 0.8:1 56.0

Probability of hitting from FLOP to the TURN in Hold'Em:
Odds
%
A Full House or Better on a set from the next card
5.7:1
15.0
A Full House or Better from two pair from the next card
11:1
9.0
A Flush from a 4 to a Flush from the next card
4.2:1
19.0
A Straight from an Open Ended Straight Draw from the next card
4.9:1
17.0
A Straight from a Gutshot Straight Draw from the next card
11:1
9.0
A Pair from 2 Non Pair
6.8:1
13.0
A Second Pair and an opponent holding the same pair but out kicking you
15:1
6.0

Probability of hitting from the FLOP to the RIVER in Hold'Em:
Odds
%
A Full House or Better
2:1
33.0
A Full House or Better from two pair
5:1
17.0
A Flush from a 4 to a Flush
1.9:1
35.0
A Flush from a 3 to a Flush
23:1
4.2
A Straight from an Open Ended Straight Draw
2.2:1
32.0
A Straight from a Gutshot Straight Draw
5.1:1
17.0
A Pair from 2 Non Pair
3.2:1
24.0
A Second Pair w/kicker and an opponent holding the same pair but out kicking you
7:1
13.0

Probability of making from the TURN to the RIVER in Hold'Em:
Odds
%
A Full House or Better from a set
3.6:1
22.0
A Full House from two pair
11:1
9.0
A Flush from a 4 to a Flush
4.1:1
20.0
A Straight from an Open Ended Straight Draw
4.8:1
17.0
A Straight from a Gutshot Straight Draw
11:1
9.0
A Pair from 2 Non Pair
6.7:1
13.0
A Second Pair w/kicker and an opponent holding the same pair but out kicking you
14:1
7.0
 

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