ProPokerTools

Odds Oracle Walkthrough

All-in Equity Example

For this example, we will compute the all-in equity for a three-way hold'em race before the flop. All-in equity is a measure of what percentage of the pot a hand expects to win on average assuming no more betting.

The Situation

Player One

Player one has an ace of spades and a queen of diamonds. Let's use the graphical picker. First, we click on the "Player 1" button, and are presented the following:
Hewtp1a

Since we have a specific hand in mind, we click the "Select Specific Hand..." button at the top and select our two cards:
Hewtp1b

Player Two

Let's give player two a range of the top 15% of hands. We click on "Player 2" and then slide the Percent of Hands slider to "15%":
Hewtp2

Player Three

For player three, we will just type in a range by hand. He will play any hand with a jack or better in it, and he will also play any two suited cards and any pair:
Hewtp3

The Complete Situation

Here is a picture of the complete situation:
Hewtsituation

The Simulation

Randomized Simulations

If we click on the "Start" button, by default we will get a randomized simulation with 600,000 trials:
Randomized

Because the results are random, you will get slightly different numbers every time you run the simulation.

Exhaustive Simulations

Exhaustive simulations compute every possible combination of hands and board cards. Exhaustive simulations yield exact answers, and are thus preferable to randomized simulations where practical. If we want exhaustive results, we can pull down the menu next to the equity question and select "exhaustive". (The default setting of "auto" will compute exhaustive results when it won't take very long, and will compute randomized results otherwise).
Exhaustive

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