Poker Outs and Equity Simulator

Simulate Texas Hold'em equity against random opponents, estimate win and tie rates, and list next-card improvement outs

Simulate Texas Hold'em equity against random opponents and list next-card improvement outs.

Card notation:

  • Each card uses rank + suit, such as Ah, Ks, Td, 9c
  • Ranks: A, K, Q, J, T, 9, 8, 7, 6, 5, 4, 3, 2
  • Suits: h = hearts, d = diamonds, c = clubs, s = spades
  • Hero cards: enter exactly 2 cards, for example Ah Kh
  • Community cards: enter 0 to 5 cards, for example Qh Jh 2c or Qh Jh 2c Td 9s

Examples:

  • Flush draw: Ah Kh / Qh Jh 2c
  • Pocket pair: As Ad / 7c 8d 9h
  • Open-ended straight draw: 9s 8s / 7d 6c 2h

Example Results

1 examples

Estimate flop equity for Ah Kh on a heart-heavy board

Run a Monte Carlo simulation against one random opponent and list next-card improvement outs from the flop.

{
  "winRate": 0.63,
  "tieRate": 0.02,
  "equity": 0.64
}
View input parameters
{ "heroCards": "Ah Kh", "communityCards": "Qh Jh 2c", "opponents": 1, "simulations": 5000 }

Enter exactly 2 hole cards separated by spaces. Format: rank + suit, for example Ah Kh, As Ad, 9c 9d. Ranks: A K Q J T 9-2. Suits: h hearts, d diamonds, c clubs, s spades.

Enter 0 to 5 board cards separated by spaces, for example Qh Jh 2c or Qh Jh 2c Td 9s. Use the same rank+suit notation as the hole cards field.

Key Facts

Category
Games & Fun
Input Types
text, number
Output Type
json
Sample Coverage
4
API Ready
Yes

Overview

The Poker Outs and Equity Simulator is a Texas Hold'em calculator that runs Monte Carlo simulations to estimate your hand's win rate, tie rate, and overall equity against random opponents. By inputting your hole cards and the current community cards, you can instantly calculate your probability of winning and identify the next-card outs needed to improve your hand.

When to Use

  • Analyzing post-game Texas Hold'em hands to evaluate if calling or folding was mathematically correct based on equity.
  • Calculating your outs and equity on the flop or turn when holding drawing hands like flush draws or open-ended straight draws.
  • Studying pre-flop matchups against a variable number of random opponent hands to understand baseline pocket pair strength.

How It Works

  • Enter your two hero hole cards using standard rank and suit notation, such as Ah Kh for Ace and King of hearts.
  • Optionally input up to five community cards currently on the board, and select the number of opponents from 1 to 8.
  • Set the number of Monte Carlo simulations to run, then execute the simulator to calculate the win rate, tie rate, and total equity.

Use Cases

Evaluating flop equity with a flush draw to determine pot odds.
Simulating pre-flop pocket aces equity against a full table of eight random opponents.
Calculating turn equity and outs with an open-ended straight draw.

Examples

1. Flop Flush Draw Equity

Poker Student
Background
A player wants to know their exact equity on the flop when holding a strong flush draw.
Problem
Calculating the probability of hitting a flush or winning the hand against one opponent on a Qh Jh 2c board.
How to Use
Enter 'Ah Kh' as Hero Hole Cards, 'Qh Jh 2c' as Community Cards, set opponents to 1, and run 5000 simulations.
Example Config
Hero Cards: Ah Kh, Community Cards: Qh Jh 2c, Opponents: 1, Simulations: 5000
Outcome
The simulator returns a win rate of 0.63 and an overall equity of 0.64, confirming a highly favorable position.

2. Pre-flop Pocket Aces vs Multiple Opponents

Cash Game Player
Background
A player wants to visualize how pocket aces hold up pre-flop as the number of opponents increases.
Problem
Determining equity for As Ad against 4 random opponents before any community cards are dealt.
How to Use
Enter 'As Ad' as Hero Hole Cards, leave Community Cards blank, set opponents to 4, and run 10000 simulations.
Example Config
Hero Cards: As Ad, Community Cards: [blank], Opponents: 4, Simulations: 10000
Outcome
The simulation shows the equity drop compared to heads-up play, providing a realistic expectation of multi-way pot dynamics.

Try with Samples

games

FAQ

How do I format the cards in the simulator?

Use a two-character notation for each card: the rank (A, K, Q, J, T, or 9-2) followed by the suit (h for hearts, d for diamonds, c for clubs, s for spades), separated by spaces.

What is the difference between win rate and equity?

Win rate is the percentage of simulated hands you win outright, while equity includes your win rate plus your share of split pots from tie rates.

Can I simulate pre-flop equity with no community cards?

Yes, you can leave the community cards field blank to calculate your pre-flop equity against random hands.

How does the number of simulations affect the results?

Higher simulation counts increase the statistical accuracy of the Monte Carlo calculation but may take slightly longer to process.

Does this simulator support multiple specific opponent hands?

No, this simulator calculates equity against random opponent hands rather than specific designated ranges.

API Documentation

Request Endpoint

POST /en/api/tools/poker-out-simulator

Request Parameters

Parameter Name Type Required Description
heroCards text Yes Enter exactly 2 hole cards separated by spaces. Format: rank + suit, for example Ah Kh, As Ad, 9c 9d. Ranks: A K Q J T 9-2. Suits: h hearts, d diamonds, c clubs, s spades.
communityCards text No Enter 0 to 5 board cards separated by spaces, for example Qh Jh 2c or Qh Jh 2c Td 9s. Use the same rank+suit notation as the hole cards field.
opponents number Yes -
simulations number Yes -

Response Format

{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}
JSON Data: JSON Data

AI MCP Documentation

Add this tool to your MCP server configuration:

{
  "mcpServers": {
    "elysiatools-poker-out-simulator": {
      "name": "poker-out-simulator",
      "description": "Simulate Texas Hold'em equity against random opponents, estimate win and tie rates, and list next-card improvement outs",
      "baseUrl": "https://elysiatools.com/mcp/sse?toolId=poker-out-simulator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

You can chain multiple tools, e.g.: `https://elysiatools.com/mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp`, max 20 tools.

If you encounter any issues, please contact us at [email protected]