The reason for this is that if you work using odds for improving over two cards, you need to assume that you won't be paying any more money on the turn to see the river. Seeing as you cannot be sure of this (it's quite unlikely in most cases), you should work out your pot odds for the turn and river individually. That right there is how we calculate poker outs and odds. Poker outs for common hands: Flush Outs: Catching it on the turn are 19.1%, on the river is 19.6%. Catching it on the turn or the river is 35.0% Open Ended Straight Outs: Catching your card on the turn, 17.0%. On the river, 17.4%. On the turn or the river, 31.5%. Well, the odds for that are pretty slim: With two players holding a pocket pair both will hit quads by the river roughly once every 39,000 attempts.
When it takes two perfect cards on both the turn and the river to covert an average or weak hand after the flop to a strong one, this should normally qualify as a 'long shot'. Also, 'strong' hands are considered here to be straights and better. These are often referred to as 'backdoor' hands such as a backdoor straight or flush etc.
After the flop, there are always 47 unseen cards. These will make a total of 1081 possible two card combinations that are used to make these probability comparisons.
For a detailed view of the chart, mobile and tablet users should check out Holdem Runner-Runner Odds in detailed .pdf format.
These odds are a must know if you want to advance your game to a high level. For exact odds you can check out our poker hand odds calculator. We rounded the number to the nearest decimal for you.
You should know what beats what in poker before trying to apply these odds or playing like you see poker on tv and in commercials.
Scenarios – Chances of Having Certain Hands | Examples | Probability | ||
Chances of Being Dealt | ||||
Pair | 6h 6d | 6% | ||
Suited Cards | Ah 10h | 24% | ||
Connecting Suits | 2d 3d | 4% | ||
Aces or Kings | AA KK | .9% | ||
Ace King | AhKs | 1.2% | ||
Ace King Suited | AhKh | .3% | ||
An Ace | A3 | 16% | ||
Cards Jacks or Higher not Paired | KJ | 9% | ||
Not Suited & Not Connected | 9h 4s | .9% | ||
Bad Beats | ||||
Bad Beat ex: Aces vs Kings heads up | AA vs KK | .004% | ||
Chances of Hitting on Flop | ||||
Pocket Pair Into A Set | JJ into JJJ | 8% | ||
Pair Turning Into A Set On Turn | 4% | |||
Hitting Pair on Flop | 32% | |||
Flopping Four To Flush-You hold 6h7h-flop comes-> | Ah Kh 2s | 11% | ||
Chances of Board Coming All Same | 5h 5s 5d | .004% | ||
Number of Players To Flop Odds | ||||
Situation – Chances someone hit top pair on board | ||||
5 players see flop | 58% | |||
4 players see flop | 47% | |||
3 player see flop | 35% | |||
2 player see flop | 23% | |||
After Flop – Chances of Making Hand | ||||
Making open straight – You hold 67 Flop comes 8,9,2 | turn 10 | 34% | ||
Two pair to full house – You- 47 Board 4,7,10 Turn –> | 7 | 17% | ||
Hitting A Gut Shot Straight | 17% | |||
Backdoor Flush – You have 1 spade – Board 2s4h8s | 10s 7s | 4% | ||
Runner Runner Straight | 1.5% | |||
Hitting Either Gut Shot Straight or Backdoor Flush | 21% | |||
Pairing An Ace on Turn or River | 13% | |||
Before Any Cards Are Dealt – Chances of Getting | ||||
Royal Flush (All Spades) | AKQJ10 | .0002% | ||
Straight Flush (Any same suits) | 56789 | .0012% | ||
Four of a Kind (Quads) | 5555K | .0239% | ||
Full House (Boat) | 33322 | .144% | ||
Flush (all same suit) =>all hearts | 37K48 | .19% | ||
Straight | 34567 | .35% | ||
Three of a Kind | 555AK | 2.11% | ||
Two Pair | AAKK2 | 4.7% | ||
One Pair | 77253 | 42% | ||
Don’t catch anything | 2854K | 50% |
Why Odds Matter To any good Texas Holdem players these odds come naturally. They may not know the exact percentage but they instinctively know their odds. Referencing this table is a great way to understand your percentages if you are a new player or if you want to calculate your pot odds.
We developed what we believe are the best formulas for calculating pot odds that you will find on the internet. It is the same way the pros calculate their pot odds and we also simplified it for those of you who are not that good at math. Check out the Pot Odds section.