Many players, especially us free online poker players shy away from the “technical” side of the game, the working out of odds and such. I mean doing that means doing math and lets face it math without a calculator or Excel is bad for many of us!
Sadly the fact is that to succeed in poker this is a key part of the game that you need to master, especially if you have any aspirations to play live money games.
The biggest problem is that the formula for doing odds is pretty complex and to do it in your head on the fly under pressure you do need to be pretty hot at math.
As an example:
Lets say you hold 8-7 and the Flop is 5-6-A. You want to know your odds on hitting a Straight later.
If you utilize a rigorous mathematical solution, you’ll come up with this horror:
You need certain cards to help you do this – Known as “outs” In this case for a straight you need 4 and 9. There are eight of them still remaining in the deck. The odds of your getting them later is P (1-P)Q, where P is the probability of hitting your hand on the Turn, and Q is the probability you will hit at the river. It is P (1-P)Q because (1-P)Q is the probability that you will hit on the river if you don’t complete your hand on the Turn.
Now here are the values for P and Q.
- P = 8 cards still on the deck to help you divided by 52-5 = 47 remaining cards = 8/47.
- Q = 8 cards still on the deck to help you, since you didn’t complete on the Turn divided by 52-6 (because there are six cards already out, your hole cards and the Board) = 8/46.
The complete answer is 8/47 (1 – 8/47)(8/46) = .170 (.829)(.174) = .170 .144 = .314 = 31%. You’ve got a 31% chance of hitting your Straight later.
Ouch, that’s fun and beyond most of us! However, in a table you usually do not have a calculator (and even if you do you still need to know what to input into it
.
And many poker players just understand the outs, but not really much of basic probability theory. How’s this? An out by the way is any unseen card that, if drawn, will improve your hand win chances.
Here then is a much more basic, easy way to work out odds
Let us try an approximation formula:
- You divide 8 by 50, because 47 is near to 50, and get 16.
- Double it again and you get .32.
- It’s a reliable estimate.
- After all, poker players, in games, don’t require exact solutions; they want only a hint as to where they are standing.
- In this case “about 32%” is a nice enough answer.
So, in the Flop, here is the approximation:
- Get the amount of your outs, then multiply it by 4, then affix a percent sign.
- That is a reliable approximation percentage of your hitting the hand.
- In the Turn, if you still have outs, multiply it by 2, then affix a percent sign.
- Preflop, when you choose to push all-in, you typically don’t need to do this since you will rely mainly on pure hand strength.
To practice your odds calculations there can be no better way than to play poker online for free on http://www.NoPayPOKER.com, at least here you can get it wrong and not lose money as a result! Yes, you can always use odds calculators and many are available for online poker but if you want to play live you need to learn to do it the hard way, so get learning if you have any ambition to move beyond free online poker and win serious cash!








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