Poker odds and probability

When making your poker decisions its important to have knowledge about the odds and probabilities of catching the hand you want. If you have small probabilities of making a straight, why waste your chips calling a big raise? Knowing when you have the odds of folding, calling or the raising the pot can improve your poker skills alot.


Here are some tables showing the odds and probabilities of texas holdem poker:


The chance of getting pocket cards:

Pocket cards: Odds %
AA 220-1 0,45%
Any pair 16-1 5.9%
AK suited 330-1 0,30%
AK offsuit 110-1 0,90%
At least one ace 5.7-1 14,9%
Any two cards suited 3.25-1 23,5%

 

The odds of improving your hand on the flop when you hold certain pocket cards
You hold Flop gives you Odds %
Pocket pair Three of a kind 10.1-1 9,0%
Pocket pair Four of a kind 407-1 0,24%
Pocket pair Full house 136-1 0,73%
Any two unpaired cards Two pairs 48.5-1 2,0%
Any two unpaired cards A pair 2.1-1 32,4%
Two suited cards Flush 118-1 0,84%
Two suited cards Four cards to a flush 8.1-1 10,9%
Any two unsuited cards Four cards to a flush 88-1 1,12%
Two connected offsuit cards (4,5 to T,J) Straight 76-1 1,31%

 

The odds of improving your hand on the turn when you hold certain hand
You have Turn gives you Odds %
Four cards to a flush Flush 4.2-1 19,1%
Open ended four card straight Straight 4.9-1 17,0%
Gutshot straight draw Straight 10.8-1 8,5%
Three of a kind Four of a kind 46-1 2,1%
Two pair Full house 10.8-1 8,5%
A pair Three of a kind 22.5-1 4,3%
Nothing A pair with a pocket card 6.8-1 12,8%

 

The odds of improving your hand on the river when you hold certain hand:
You have River gives you Odds %
Four cards to a flush Flush 4.1-1 19,6%
Open ended four card straight Straight 4.8-1 17,4%
Gutshot straight draw Straight 10.5-1 8,7%
Three of a kind Four of a kind 45-1 2,2%
Two pair Full house 10.5-1 8,7%
A pair Three of a kind 22-1 4,3%
Nothing A pair with a pocket card 6.7-1 13,0%

 

The odds of improving your hand from the flop to the river:
You have Turn or river gives you Odds %
Four cards to a flush Flush 1.9-1 35,0%
Three cards to a flush Flush 23-1 4,2%
Open ended four card straight Straight 2.2-1 32,0%
Gutshot straight draw Straight 5.1-1 17,0%
Three of a kind Four of a kind 22.3-1 4,3%
Two pair Full house 5.1-1 17,0%
A pair Four of a kind 1080-1 0,09%
A pair Three of a kind 10.9-1 8,4%

 

Flop probability:
The table flops 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 0.8-1 55,0%
No suited cards 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%



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