PLO5 & 6-Card Omaha Equity Calculator

Texas Hold’em is a game of high cards. Pot Limit Omaha (PLO4) is a game of draws. But 5-Card (PLO5) and 6-Card Omaha (PLO6) are games of nuts.

As these high-action variants explode in popularity on apps and casinos, players are realizing that their old calculators don’t work. The combinatorics of 6-card hands are too complex for standard tools. Our PLO5 & PLO6 Equity Calculator uses a high-speed Monte Carlo Simulation engine to estimate your exact win probability against an opponent, helping you understand if your “Monster Wrap” is actually a favorite against a Set.

Omaha Equity Calc

Monte Carlo Sim
PLO4
PLO5
PLO6
Hero
0%
Villain
0%
*Input cards as Rank+Suit (e.g., Ah, Ts, 2d, 9c). Simulates 2,000 runs.

How to Use the Calculator

Because enumerating every possible outcome in 6-Card Omaha would take a supercomputer hours, this tool runs thousands of random simulated hands in seconds to give you an accurate estimation. Here is how to use it:

  1. Select Game Mode:
    • PLO4: Standard Pot Limit Omaha.
    • PLO5: “Big O” or 5-Card PLO (5 cards in hand).
    • PLO6: 6-Card PLO (common in double-board bomb pots).
  2. Input Hands: Enter the cards for Hero and Villain using standard notation (e.g., Ah As Ks Kd Qh).
    • Note: Ensure you enter the correct number of cards for the selected mode.
  3. Enter Board (Optional):
    • Leave empty for Preflop Equity.
    • Enter 3 cards for Flop analysis, or 4/5 for Turn/River.
  4. Run Simulation: Click “Calculate.” The tool will deal out the remaining cards thousands of times to determine how often each hand wins or ties.

Real-World Examples: The “Nut” Standard

In PLO5 and PLO6, hand strength changes dramatically compared to standard Omaha. Here is what the math shows.

Example 1: Aces are weaker in PLO5

Hero: A-A-K-K-2 (Double Suited)

Villain: 8-9-10-J-Q (Rundown)

In standard PLO4, Aces are a massive favorite. In PLO5, the equity gap shrinks. The raw power of the rundown (which hits straights and two-pairs easily) forces the Aces to improve to a Set or Flush to win at showdown.

Example 2: The “Blocker” Problem in PLO6

Scenario: You hold a Queen-High Flush Draw.

In PLO4, this might be a call. In PLO6, because there are so many cards in play, the probability that your opponent holds the Ace-High flush (the Nuts) increases significantly. Furthermore, holding 6 cards means you might be holding your own outs, mathematically reducing your chances of hitting your draw. Our calculator accounts for these “dead cards” inside your own hand.

Example 3: The “Two Card” Rule

The Board: A♠ A♥ A♦ K♠ 2♣

Your Hand: K♥ Q♠ J♦ 10♣ 9♥ (in PLO5)

Result: You do NOT have a Full House. You only have Trip Aces with a King kicker. In all Omaha variants, you must use exactly two cards from your hand and three from the board. This simulator enforces this rule strictly, preventing the most common calculation error beginners make.


Frequently Asked Questions (FAQ)

What is Monte Carlo Simulation in poker?

In games with massive complexity like PLO6, calculating exact odds (enumerating every possible card combination) is too slow for a web browser. Monte Carlo Simulation solves this by playing out thousands of random hands instantly. The result is an approximation that is typically accurate within 0.1% of the true math.

How much harder is it to hit a Set in PLO5 vs PLO4?

It is actually easier to hit a Set in PLO5 because you hold more cards. However, the relative strength of a Set is lower. In PLO5, “Top Set” is often vulnerable to massive Straight and Flush draws (Wraps) that can have up to 20 outs against you.

Can I use this calculator for “Bomb Pots”?

Yes. Most Bomb Pots are played as PLO5 or PLO6. You can use this calculator to analyze your equity on the flop to see if you should stack off or fold, although Bomb Pots often involve multi-way pots which increase variance significantly.

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