Omaha Odds Calculator

Omaha Overview

Omaha is a form of poker that consists of a player being dealt four cards face down known as "hole cards". Like hold'em there are five "community cards" dealt face up.

The objective is for each player make the best five card hand using any two of the four hole cards and three of the five community cards. The player with the best hand wins the pot. If there is a tie then the pot is divided among the players with the best hand.

The Omaha Odds Calculator gives you the ability to view the win, tie and equity percentages for 2 to 6 players. This will allow one to better understand just how strong a hand is at any given point. It can also show you hands that might have a lower percentage of winning and tying but a higher percentage of equity.

• Select cards for each of the players by clicking on the player cards.
  
• You'll be presented with a popup where you can select four cards.
• After you have selected cards for each player you can specify the flop, turn, and/or river by clicking on them.
• You do not need to specify these to calculate odds as they are optional.
• Once you have selected the players hand, the window will close and you will see a calculating dialog appear as calculation is performed.

Understanding the results

The results are displayed as follows:

• Win% indicates the likelihood of that player winning.
• Tie% indicates the likelihood of that player tying.
• EQ% indicates the "expected share" of the pot expressed if as a percentage(%).
• over a player's hand indicates they currently have the highest equity percentage.
• over a player's cards indicates they cannot possibly win given the current table state.

Equity calculation

Equity is calculated by adding the total number of wins to the sum of the fractions of each tie for the players' hand and dividing that amount by total possible outcomes.

(Total Wins +
sum(each tie / number of hands in each tie)) / Total Hands

Example:
Player 1: Qc Qd
Player 2: Qs Qh
Flop:    9c 9d 9s

• There are 990 remaining outcomes.
• Each outcome that is a tie increments the players' tie count by "1"
• Each outcome that results in a tie increments the players equity count by one(1) / number of players that tie for that specific outcome. In this case there are only two players so the most players that could tie for given outcome is (1 / 2 players).
• Each player has a tie count of 990 ties out of 990 outcomes (100%) and has an equity increase of 495 out of 990 outcomes.(50%).
• So equity in this scenario is (Total Wins + Total Fraction of ties for each player) / Total Outcomes or 0 + 495 / 990 = 50%

Since there are only two players in this example, the tie percentage will always be the same for each player and the equity will equal (win + 1/2 the tie). As more players are in the hand, equity may vary for each hand and the number of players that tie on any outcome may also vary.