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## Free Online Poker Guide To Working Out Poker Odds If You Don’t Have A Math Degree

Many players, especially us free online poker game players, avoid the “technical” part of the game, odds work and such. After all, it is about the dreaded “M” (math) word.

Unfortunately, the fact is that to be successful at poker this is a key part of the game that you need to master, especially if you have any aspirations of playing live money games.

The main problem for many free money and poker players is that it is very complicated. For example:

Let’s say you have 8-7 and the flop comes 5-6-A. You want to calculate the probability that you will hit your straight line later.

If you use a rigorous mathematical solution, you get this:

The cards that will help you are the Four and the Nine. There are still eight left in the deck. The probability of hitting them later is P + (1-P)Q, where P is the probability of hitting the hand on the Turn, and Q is the probability of hitting the river. It’s P + (1-P)Q because (1-P)Q is the probability of hitting the river if you don’t complete the hand on the Turn.

Now here are the values of P and Q.

– P = 8 cards still in the deck to help you divided by 52-5 = 47 cards remaining = 8/47.

– Q = 8 cards still in the deck to help you, because you haven’t completed the turn divided by 52-6 (because there are already six cards out, your hole cards and the board) = 8/46.

The overall answer is 8/47 + (1 – 8/47)(8/46) = 0.170 + (0.829)(0.174) = 0.170 + 0.144 = 0.314 = 31%. You have a 31% chance of getting your straight later.

Oh, that’s fun and beyond many of us! However, in a table you usually don’t have a calculator (and even if you do you still have to know what to put in ;).

And many poker players only know about outs, but not so much about basic probability theory. How is it? By the way, a jack is any unseen card that, if drawn, will improve the chances of winning in the hand. See http://en.wikipedia.org/wiki/Out_%28poker%29 for full breakdown of the outs.

So what’s the quick, basic and easy way to calculate odds?

It is the approximation formula: taking the 8-7 hand above:

– Divide 8 by 50, because 47 is close to 50, and get 0.16?

– Double that again and you get 0.32.

– This is a reliable estimate.

– After all, poker players, in games, do not need exact solutions; they just need a clue as to where they are.

– In this case, “about 32%” is a good enough answer.

So during the Flop, here’s the approach:

– Get the number of your outputs, multiply it by 4 and put a percent sign.

– This is a reliable approximation percentage of your backhand.

– During the Turn, if you still have outs, multiply it by 2 and then put a percent sign.

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