Poker Chance Calculator

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Texas Hold'em Poker Chance Calculator

Calculate your equity and pot odds based on your "outs".

Flop (2 cards to come: Turn & River) Turn (1 card to come: River)
Winning Probability (Equity) 0%
Odds Against (Ratio) 0 : 1
Required Pot Odds to Call 0%

How to Calculate Poker Odds

In Texas Hold'em, understanding your "outs" is the foundation of mathematical poker. An "out" is any card left in the deck that will likely improve your hand to a winning one. Once you identify how many outs you have, you can calculate the probability of hitting one of those cards on the upcoming streets.

The Rule of Two and Four

For a quick mental shortcut at the table, many professionals use the "Rule of Two and Four":

  • On the Flop: Multiply your outs by 4 to get your approximate percentage of hitting by the river.
  • On the Turn: Multiply your outs by 2 to get your approximate percentage of hitting on the river.

Our calculator uses precise mathematical formulas (Hypergeometric distribution logic) to give you the exact percentage, rather than the shortcut approximation.

Example: Flush Draw
If you have two hearts and the flop shows two hearts, there are 9 hearts remaining in the deck (13 total – 2 in hand – 2 on board = 9).
Calculation: With 9 outs on the flop, you have a 35% chance to hit your flush by the river.

Understanding Odds and Pot Odds

Once you know your equity (winning percentage), you must compare it to the "Pot Odds." If the pot is $100 and you need to call $20, you are getting 5-to-1 odds. If your chance of winning is better than the ratio of the call to the total pot, the math dictates that "calling" is a profitable play in the long run.

Common Out Counts

  • Open-Ended Straight Draw: 8 outs
  • Flush Draw: 9 outs
  • Inside Straight (Gutshot): 4 outs
  • Set to Full House: 7 outs
  • Two Pair to Full House: 4 outs
function calculatePokerOdds() { var outsInput = document.getElementById("pokerOuts").value; var street = document.getElementById("pokerStreet").value; var resultArea = document.getElementById("pokerResultArea"); var outs = parseInt(outsInput); if (isNaN(outs) || outs 22) { alert("Standard deck logic rarely exceeds 22 outs. Please check your count."); return; } var equity = 0; var cardsRemaining = 47; // After Flop (52 – 2 hole – 3 flop) if (street === "flop") { // Calculation for 2 cards to come // Probability of NOT hitting on either turn or river var probNotTurn = (47 – outs) / 47; var probNotRiver = (46 – outs) / 46; var probNotHittinAtAll = probNotTurn * probNotRiver; equity = (1 – probNotHittinAtAll) * 100; } else { // Calculation for 1 card to come (Turn to River) // 46 cards remaining (52 – 2 hole – 4 board) equity = (outs / 46) * 100; } // Calculate Ratio Odds (X to 1) var ratioVal = 0; if (equity 0) { ratioVal = (100 – equity) / equity; } // Display Results document.getElementById("equityResult").innerText = equity.toFixed(2) + "%"; document.getElementById("ratioResult").innerText = ratioVal.toFixed(1) + " : 1″; document.getElementById("potOddsResult").innerText = equity.toFixed(1) + "% or better"; resultArea.style.display = "block"; resultArea.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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