Full Omaha (PLO) Equity Calculator

In Texas Hold’em, knowing you have the best hand is relatively easy. In Pot Limit Omaha (PLO), it is a mathematical minefield. A “Top Set” can be a statistical underdog against a massive “Wrap” draw, and Aces are often worthless in a multi-way pot.

Because you hold 4 cards, the combinatorics of Omaha make mental calculation nearly impossible, especially when three or four players see a flop. Our Full Omaha Equity Calculator solves this. It allows you to input specific hands for up to 6 players, define the board texture, and run a Monte Carlo simulation to determine your exact share of the pot.

Omaha Equity Calculator

PLO4 Multi-way
Hero
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Villain 1
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Leave empty for Preflop. Enter 3, 4, or 5 cards.
*Input: 4 cards per player. Logic: Must use exactly 2 cards from hand, 3 from board.
Simulation: 3,000 runs.

How to Use the Calculator

This tool is designed for precise “Hand vs. Hand” analysis. Unlike range calculators, this helps you review specific hands from your session history. Here is how to use it:

  1. Enter Hero’s Hand: Type in your 4 cards (e.g., As Ks Jd 10h).
    • Tip: Use standard notation: A (Ace), K (King), T (Ten), followed by the suit (s, h, d, c).
  2. Add Opponents: PLO is often played multi-way. Click “+ Add Player” to simulate pots with 3, 4, or even 6 players.
  3. Input the Board (Optional):
    • Leave it empty to calculate Preflop Equity.
    • Enter 3 cards for the Flop, 4 for the Turn, or 5 for the River.
  4. Calculate: The simulator will run thousands of random outcomes to verify who wins at showdown based on the strict rules of Omaha.

Real-World Examples: The “Wrap” vs. The “Set”

Why do you need a calculator? Because intuition often fails in Omaha. Let’s look at three common scenarios.

Example 1: The Massive Draw (Flip)

Board: 9♥ 8♥ 4♣
Hero (Set): 9♠ 9♦ K♠ Q♣ (Top Set)
Villain (Wrap + Flush Draw): Q♥ J♥ 10♠ 7♦

  • The Math: You might think Top Set is a huge favorite. The calculator shows that the Villain actually has roughly 55% equity against you! In PLO, a massive draw is often the mathematical favorite over a made hand.

Example 2: The “Fake” Flush

Board: A♠ J♠ 8♠ 2♦ 5♣
Hero: K♠ Q♦ 10♣ 9♥

  • The Mistake: You see the King of Spades in your hand and 3 Spades on the board. In Texas Hold’em, you have a flush.
  • The Reality: In Omaha, you must use exactly two cards from your hand. You only hold one spade. The calculator correctly identifies that you do NOT have a flush, saving you from a costly error.

Example 3: The Multi-Way Preflop Trap

Hero: A♥ A♦ 7♠ 2♣ (Dry Aces)

  • Heads Up: You are a ~60% favorite against a random hand.
  • 4-Way Pot: If you add 3 opponents to the calculator, your equity drops to roughly 30%. This illustrates why limping or slow-playing Aces in multi-way PLO pots is often a losing strategy.

Frequently Asked Questions (FAQ)

Why does the calculator use Monte Carlo simulation?

In Omaha, the number of possible card combinations is exponentially higher than in Hold’em. Calculating the “exact” math by enumerating every single outcome would take minutes. Monte Carlo simulation plays out thousands of random hands in a fraction of a second to give you an answer that is accurate within a tiny margin of error (usually < 0.2%).

What is the “Two Card Rule” in Omaha?

This is the most critical rule of PLO. You must use exactly two cards from your hand and exactly three cards from the board to make your best 5-card hand. You cannot use 1, 3, or 4 cards from your hand. This calculator strictly enforces this logic.

Why are equities in PLO so close together?

Because you have 4 cards, it is very difficult to be “dominated” in PLO. In Hold’em, AA vs 72 is an 88% favorite. In PLO, AAxx vs a random “rundown” hand is rarely more than a 60% favorite. This leads to higher variance and more frequent “bad beats.”

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