• EV calculations with decision trees CardRunners EV is advanced poker analysis software that will allow you to take your own private research to a whole new level. The software even contains a GTO solver with one of the fastest algorithms commercially available.
• Formula for Expected Value The first variation of the expected value formula is the EV of one event repeated several times (think about tossing a coin). In such a case, the EV can be found using the following formula.

1. Poker Ev Formula With Fold Equity
2. Ev Formula Poker Game
3. Ev Formula Poker Calculator
4. Ev Formula Poker Odds

You are on the bubble of the Sunday Million and the aggressive big stack moves all in from the button with 100,000 chips. Blinds are 1,500/3,000 and you have to decide if you want to call or to fold in the big blind with pocket nines and a 35,000 stack.

We will try to calculate how much each of your decisions is worth in EV terms. EV stands for “expected value” and it is the attempt to determine how many chips/how much money you would expect to gain on average if the same situation occurred over and over again.

FOLD

Poker Ev Formula With Fold Equity

If you fold you will have 32,000 chips left. It is hard to say how much this stack would be worth exactly, but there are some clues.

The idea behind poker, especially tournament poker, is to maximize your win when the opportunity presents itself. Simple EV can 'leave money on the table' so to speak. If you can maximize your EV you'll, over time, simply win more money/chip is a shorter period of time. And money/chips over time is how we keep score in poker.

Firstly, you will almost certainly get into the money if you play the next couple hands carefully. The smallest prize is worth about $300, so that is the minimum your stack is worth.

You also have a chance to reach one of the higher spots to win more money. At the beginning of the tournament, 10,000 chips are worth $200 (the buy-in). After the bubble, about 30 per cent of the prize money is distributed already (15 per cent of the players at least double their money). The other 70 per cent will be determined in the end-game of the tournament.

A decent guess is that this extra chance is worth about $500. That means 10,000 chips will be worth about $140 on average after the bubble – not counting the $300 every player will get after the bubble no matter what.

You have 32,000 left which is 3.2 times 10,000. So your chips are worth about 3.2*$140 = $448.

Therefore:

Your total EV = [guaranteed prize for making it to the money] + [worth of your stack]
= $300 + $448 = $748

That means you will win about $750 on average if you fold.

CALL

There are two possible results if you call: you either win or lose. (Let’s not think about split pots. It is very unlikely.) So we need to examine your EV for either of these possibilities.

EV if you call and lose – That’s easy. If you lose you are out and won’t win anything. Therefore your EV = 0

EV if you call and win – Now you would have about 70,000 chips. This is easy to calculate because you will have almost exactly an average stack. In real money terms, the average stack is worth the price pool divided by the number of players left in the tournament.

So your EV if you call and win = $1,400.

The total EV of a call (factoring in the potential of winning and losing the pot) is the EV if you win multiplied with the probability to win plus the EV if you lose multiplied with the probability you lose.

Here it is written as a formula:

EV call = equity * [EV call and win] + (1-equity) * [EV call and lose]
= (65% * $1400) + (35% * 0)
= (65% * $1400)
= $910

Ev Formula Poker Game

So the total EV of calling equals $910.

SUMMARY:

The EV of calling is about $910 and the EV of folding is about $750. That means your EV is about $160 larger if you call. That is a huge difference. Therefore you should call and a fold would be a costly mistake.

Ev Formula Poker Calculator

If you make slightly different assumptions about the hands your opponent will go all in with, and about the value of your stack if you fold, your results will be slightly different.

Ev Formula Poker Odds

But in the end you should reach the same conclusion, which is that a call is far superior to a fold.

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