What makes Practical Poker Math so useful is how it relates poker odds and strategy to game theory. Using an original concept called Total Odds, the guide. Apr 10, - Practical Poker Math: Basic Odds & Probabilities for Hold'Em and Omaha (Kindle Edition). Find helpful customer reviews and review ratings for Essential Poker Math, Expanded Edition: Fundamental No Limit Hold'em Mathematics You Need To Know.
Essential Poker Math, Expanded Edition: Fundamental No-Limit Hold'em Mathematics You Need to KnowFind helpful customer reviews and review ratings for Poker Math That Matters: Simplifying the Secrets of No-Limit Hold'em at moranshomestore.com Read honest and. Apr 10, - Practical Poker Math: Basic Odds & Probabilities for Hold'Em and Omaha (Kindle Edition). dec - Essential Poker Math: Fundamental No Limit Hold'em Mathematics You Need to Know.
Poker Math A few quick pointers. VideoPoker Ranges Explained
There are four aces and four nines in the deck, so you have eight outs. If one card is missing to complete a straight, you have four outs.
One of the four queens in the deck will make you a straight. If your opponent has a middle pocket pair, e. In this case, the number of your outs would increase to ten four queens, three kings, and three jacks.
But it is not definitely a winner and could already be behind if any of your opponents has two spades in his hand. However, you still have the chance here of improving your hand even further.
I think it is the easiest and fastest way to get a good estimate of your poker odds and actual probabilities to improve your hand and applying it will help you make the best decision when you have some doubts.
When you know how many outs you have to improve your hand and most importantly probability of that happening, you can and should compare that to the pot odds you are getting and work out the best decision.
This is pretty easy, yet critical concept to understand and implement in your game. I will give you an example so you could see it in practice:.
Now you need to know what pot odds you are getting and can easily make the right decision knowing if calling is profitable or not. Let us say the pot is chips and your opponent is shoving for another chips.
This means you have to call to win chips pot initial , that your opponent is betting and which you call.
Therefore, it is extremely profitable call and folding in this spot would be a huge mistake. To make your life much easier I created a table, giving you poker odds of the most common situation when facing a bet from your opponent.
While in the first example we covered a situation where your opponent is all-in on the flop, and you are guaranteed to see both cards, do not make a mistake of assuming that it is always the case.
If your opponent bets the same amount but is not all in, then you can only compare those odds with your probability to improve with the next card.
So you can't be calling in a vacuum. However, in most cases, you will have implied odds meaning you can win more when improved and can still justify a call.
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?
If an opponent makes a bet and you are on a draw, you are faced with the decision of whether or not you should call to try and complete the draw by the next card, or fold and let your opponent take the pot.
In this situation a player that has good knowledge of poker mathematics will always know whether or not to call, whilst a player that has no knowledge of mathematics will be unsure.
Players who are unfamiliar with poker odds will make an educated guess on whether or not they should call. If the bet is large, they may feel that it is too expensive to try and catch the right card, but if the bet is small they will be more inclined to call.
On the other hand, a player that can use poker mathematics correctly will be able to work out the pot odds they are getting on the hand and act accordingly.
Pot odds take into account the amount your opponent has bet in relation to the pot, and the likelihood of completing your draw to inform you about whether or not you should call or fold.
There are other situations that incorporate mathematics a little more loosely, but still incorporate them nonetheless.
If you have no concrete evidence from the way the hand played out about whether or not your opponent has a better hand than you, you can use mathematics to determine whether or not you should call.
First of all you should estimate that probability that your opponent is bluffing and holds a worse hand than you. So how many cards are left in the deck that can turn our hand into the leading hand?
So we have 9 outs that will give us a flush and a further 3 outs that will give us Top Pair, so we have a total of 12 outs that we think will give us the winning hand.
This way we can forget about complex calculations and quickly calculate the probability of hitting one of our outs.
Now we know the Odds of us winning, we need to look at the return we will get for our gamble, or in other words the Pot Odds.
When we calculate the Pot Odds we are simply looking to see how much money we will win in return for our bet. What does this mean?
It means that in order to break even we would need to win once for every 3 times we lose. Now that we have worked out the Pot Odds we need to convert this into a Break Even Percentage so that we can use it to make our decision.He may have limped in with Valuebets cards or suited connectors. The answer is 10! Moreover, if you have an overcard to the board, it can give additional outs to draw to a winning hand and even give you direct odds to make that call. Invite your friends and reap rewards!