Poker Chances Calculator

by

Texas Hold'em Poker Odds Calculator

Cards remaining that improve your hand.
Flop (2 cards to come) Flop to Turn (1 card) Turn to River (1 card)

Results

Equity (Chance) 0%
Ratio Odds 0:1

How to Calculate Poker Odds and Outs

In Texas Hold'em, "Outs" are the specific cards left in the deck that will likely improve your hand to a winning one. Understanding your mathematical probability of hitting an out allows you to make "EV positive" (Expected Value) decisions based on pot odds.

Common Outs Scenarios

  • Flush Draw: 9 Outs (4 suits, 13 of each, minus 4 already seen).
  • Open-Ended Straight Draw: 8 Outs (e.g., 8-9 on a 10-J-2 board needs a 7 or a Q).
  • Inside Straight (Gutshot): 4 Outs.
  • Two Overcards: 6 Outs (3 for each card to hit a pair).

The Rule of 2 and 4

If you don't have a calculator at the table, poker players use a simple shortcut:

  • On the Flop: Multiply your outs by 4 to estimate your chance of hitting by the River.
  • On the Turn: Multiply your outs by 2 to estimate your chance of hitting on the River.

Example: If you have a flush draw (9 outs) on the flop, 9 x 4 = 36%. Our calculator provides the precise math (34.97%), but the rule of 4 is a great approximation.

Pot Odds vs. Hand Equity

Once you know your percentage chance (Equity), compare it to the "Pot Odds." If the cost to call is 25% of the total pot and your equity is 35%, it is mathematically profitable to call the bet in the long run.

function calculatePokerOdds() { var outs = parseFloat(document.getElementById('outsCount').value); var stage = document.getElementById('gameStage').value; var resultDiv = document.getElementById('pokerResult'); var equityDisplay = document.getElementById('equityPercent'); var ratioDisplay = document.getElementById('ratioOdds'); var adviceDisplay = document.getElementById('pokerAdvice'); if (isNaN(outs) || outs 22) { alert("Please enter a valid number of outs (typically between 1 and 20)."); return; } var probability = 0; var cardsRemaining = 47; // After flop (52 – 2 hole – 3 flop) if (stage === "flopToTurn") { // Probability of hitting on next card (Turn) probability = (outs / 47); } else if (stage === "turnToRiver") { // Probability of hitting on next card (River) probability = (outs / 46); } else if (stage === "flopToRiver") { // Probability of hitting on Turn OR River // 1 – (Probability of missing both) var missTurn = (47 – outs) / 47; var missRiver = (46 – outs) / 46; probability = 1 – (missTurn * missRiver); } var percent = (probability * 100).toFixed(2); // Calculate Ratio Odds (X to 1) var ratioVal = 0; if (probability > 0) { ratioVal = ((1 – probability) / probability).toFixed(2); } equityDisplay.innerText = percent + "%"; ratioDisplay.innerText = ratioVal + ":1"; var adviceText = ""; if (percent > 30) { adviceText = "This is a strong draw. If the pot odds are favorable, this is usually a mandatory call or a semi-bluff opportunity."; } else if (percent > 15) { adviceText = "A moderate draw. You generally need good pot odds (at least 3:1 or 4:1) to justify continuing."; } else { adviceText = "This is a weak draw (long shot). Unless the bet is very small relative to the pot, folding is likely the best play."; } adviceDisplay.innerText = adviceText; resultDiv.style.display = "block"; }

Leave a Comment