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How to calculate Pot Odds and Pot equity

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How to Calculate Pot Odds and Use your Equity to your Advantage

Developing an understanding of pot odds and equity is probably one of the most important theories that every poker player must have at least some grasp off. Every situation at the poker table where having the information of either your pot odds or equity in the hand will have some bearing on your final decision.

Some of the top poker players in the world often have sophisticated backgrounds in either maths or economics and have near flawless skills when it comes to quickly working out the percentages of a hand. Once they can do this all they need to learn is what price they need and what price they are getting, so from there they can make the correct decision almost every time.

The link is no coincidence, its fact. Even players who have little mathematical background have spent hours working on their games and honing their odds and equity equations to perfect their play. Often they will couple this alongside a lot of ‘feel’ play, but it’s still a significant factor.

Understanding your pot odds and equity in a hand can give you a fantastic basis in which to make serious money from poker. A simple rule that’s commonly used throughout the poker community is ’If our odds are larger than that off our equity, then we are making profitable plays; if our odds are less, then our play no longer becomes profitable. ‘

Throughout this article we will be looking at both pot odds and equity with examples for each, before looking over some key points to evaluate.

Pot Odds

When starting off with working out your pot odds what you must do is keep track of how much exactly is in the pot. When playing online there is often a feature that does this for you, or at least an option that you can turn on in most poker lobbies.

When playing live it becomes a little more difficult and can become quite a skill. A good way to go about is by observing a hand that you are not involved in or at least are not intending to play.

Try to keep a running total in your head of how much each player puts in the pot at once rather than counting the chips that are scattered all over the table. By doing this you can get a great idea of the exact amount of chips each player has invested in the hand.

The next step is to sort out how much it will be to call given the bet size and the size of the pot. There are two methods which can be used here, the ratio method and the fractional method. Both have their own merits but for this example we will be using the ratio method.

So let’s say it’s $10 to call in a pot which is already $50. $10/$50 = 5 giving our ratio of 5.0/1 to make the call.

 Obvious for each player who in turn acts after us their pot odds will be slightly different as the pot size will be different.

A slightly tougher example would be if we had to call $40 in a pot of $175. We can work out quickly in our heads that roughly our odds will be around 4.0/1. Simply knowing that 40 goes into 160 4 times exactly and the fact that 160 is close to our target of 175. With pot odds we don’t need to be exact, just as close as we can get in the timescale we have to act with our hand.

Equity

Once we have distinguished our pot odds we now need to work out our equity in the hand. The equity is basically how many cards are left in the pack you need to make your hand.

It’s impossible to know your opponents exact hand so trying to incorporate them into our equity ranges calculations are next to pointless. What we must remember is, that when we do work out our equity we take into account that we already hold two of the cards and also there are cards already on the board that we must disregard.

A simple rule when calculating equity is multiply outs by four on the flop and multiply by two on the turn. This equation may not get you the exact number you are looking for every time, but will not be far away and provides a simple piece of math that you can work out at game time.

So let’s say we are chasing an open ended straight draw on the flop. There are four cards of each number that will complete our draw giving us 8 outs. We then use our rule and times our outs by four, giving us 32 or 32% of hitting our straight draw.

For a flush draw we know that there are 13 cards of each suit, we hold two and two are already on the flop resulting in 9 outs. Our 9 outs times by four give us a 36% chance of completing our flush.

Combining Pot odds and Equity

Once we can work both variables out, we can then establish whether the call is profitable or not. Remember early on in the article we mention the golden rule ’If our odds are larger than that off our equity, then we are making profitable plays; if our odds are less, then our play no longer becomes profitable. ‘

We can now successfully apply this rule and determine if mathematically we are getting the correct odds to make a profitable call or in fact if our call will be incorrect actually loosing us money in the long term .

Key Points

  • Learning these mathematical skills can be an extremely profitable base to launch your poker career
  • Practice learning how many outs each drawing hand has so it sticks in your memory
  • When using your pot odds remember to keep track of the pot
  • Combining both pot odds and equity will all you make the perfect decision mathematically every time

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