Poker Odds

Poker odds are figures that tell you how likely it is that you will make a certain hand. In Texas Hold’em probability is important, because you can use the poker odds to decide whether calling a particular bet will give you value for money. For example, if you have four cards of the same suit after the flop and you need one more for a flush, the poker odds of you hitting a card of the required suit on the turn are 4.2 to 1. Hold’em probability therefore suggests that if the pot will pay you more than those odds merit, you should stay in the game. If the pot is lower than the poker odds suggest is appropriate, folding might be the most sensible option.

Hold 'Em Probability

Hand Number of Ways Approx. Odds
Royal Flush 4 649,740:1
Straight flush 36 72,192:1
Four of a kind 624 4,164:1
Full House 3,744 693:1
Flush 5,108 508:1
Straight 10,200 254:1
Three of a kind 54,912 46:1
Two pairs 123,552 20:1
One pair 1,098,240 1.37:1
No hand 1,302,540 1:1

Odds of Improving a Hand

Cards Held Cards Drawn Improved hand Approx. Odds
One Pair 3 Two pair
Three of a kind
Full House
Four of a kind
Any improvement
5.3:1
7.8:1
97:1
360:1
2.5:1
One Pair plus kicker 2 Two Pairs
Three of a kind
Full house
Four of a kind
Any improvement
4.8:1
12:1
120:1
1080:1
2.8:1
Three of a kind 2 Full house
Four of a kind
Any improvement
15.3:1
22.5:1
8.7:1
Four straight cards
(open both ways)
1 Straight 5:1
Inside straight 1 Straight 10.8:1
Four card flush 1 Flush 4.2:1
Four card flush
(open ended)
1 Straight Flush
Straight or better
22.5:1
2:1
Four card straight flush
(inside)
1 Straight Flush
Straight or better
46:1
3:1