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But there is no need for you to be intimidated, Poker Maths is very simple and we will show you a very simple method in this lesson.
As daunting as it sounds, it is simply a tool that we use during the decision making process to calculate the Pot Odds in Poker and the chances of us winning the pot.
Remember, Poker is not based on pure luck, it is a game of probabilities, there are a certain number of cards in the deck and a certain probability that outcomes will occur.
So we can use this in our decision making process. Every time we make a decision in Poker it is a mathematical gamble, what we have to make sure is that we only take the gamble when the odds are on in our favour.
As long as we do this, in the long term we will always come out on top. Poker Maths is mainly used when we need to hit a card in order to make our hand into a winning hand, and we have to decide whether it is worth carrying on and chasing that card.
We then compare the likelihood of us hitting one of our Outs against the Pot Odds we are getting for our bet and see if mathematically it is a good bet.
Consider the following situation where you hold A 8 in the big blind. Before the flop everyone folds round to the small blind who calls the extra 5c, to make the Total pot before the Flop 20c 2 players x 10c.
The flop comes down K 9 4 and your opponent bets 10c. Not only would the three kings and the three aces give you a higher two pair than your opponent, but any six or five would help as well.
Your ace is the best possible kicker. They also ask themselves what hand their opponent has, and whether one of the cards they hope to appear might also give the other player an even better hand.
You have calculated eight outs so far four aces and four nines. But how will your outs change if one your opponents has two hearts e.
In this example, two of your outs, i. This means you have to discount both cards from your outs. You would now only have six outs, which significantly reduces your chances of winning the hand.
In general you should take a pessimistic approach when it comes to discounting outs, as it is better to discount one out too many than one too few!
How many combinations can you arrange them in? The answer is 4! Any scientific calculator should have a factorial button, usually denoted as x!
The total number of ways to arrange 52 cards would be 52! Assume you want to form a committee of 4 people out of a pool of 10 people in your office.
How many different combinations of people are there to choose from? The answer is 10! The general case is if you have to form a committee of y people out of a pool of x then there are x!
For the example given there would be 10! You could consider the first four as the committee and the other six as the lucky ones.
However you don't have to establish an order of the people in the committee or those who aren't in the committee. There are 4! By dividing 10! The combin x,y function in Excel will tell you the number of ways you can arrange a group of y out of x.
Now we can determine the number of possible five card hands out of a 52 card deck. The answer is combin 52,5 , or 52!
If you're doing this by hand because your calculator doesn't have a factorial button and you don't have a copy of Excel, then realize that all the factors of 47!
The probability of forming any given hand is the number of ways it can be arranged divided by the total number of combinations of 2, If your first card is an ace, the odds of receiving another ace are the same as the odds were before you received the first ace.
True or false? In a high pair vs. Sign in or Register for Free. Learn More. Gerald Hanks. What are the chances of making a flush on the flop when holding two suited cards?
What is the probability of a pre-flop pair flopping four of a kind? Making correct decisions is more important than the short-term results. True of false?
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