Flop to Turn (1 card)
Turn to River (1 card)
Flop to River (2 cards)
Calculation Results
Hand Equity:0%
Pot Odds:0:1 (0%)
Expected Value (EV):0 chips
Action:–
Understanding Poker Probabilities
In Texas Hold'em, making mathematically sound decisions is the difference between winning and losing in the long run. This poker possibility calculator helps you determine if a "call" is profitable based on your "outs" and the size of the pot.
What are Outs?
Outs are the remaining cards in the deck that will improve your hand to a winning state. For example, if you hold two hearts and the flop has two hearts, there are 9 hearts left in the deck to complete your flush. Those 9 cards are your "outs."
Pot Odds vs. Hand Equity
Decision making in poker relies on comparing two percentages:
Hand Equity: The statistical chance that you will hit one of your outs. (Calculated using the rule of 2 and 4).
Pot Odds: The ratio of the current pot size compared to the cost of your call.
The Golden Rule: If your Hand Equity is higher than your Pot Odds (expressed as a percentage), it is a mathematically profitable call (+EV).
Real-World Example
Imagine you have an open-ended straight draw (8 outs) on the flop. The pot is 1,000 chips and your opponent bets 500 chips.
Equity: With 8 outs from the flop to the river, you have approximately a 31.5% chance to hit.
Pot Odds: You must call 500 to win a total pot of 2,000 (1000 + 500 bet + 500 call). Your pot odds are 500/2000 = 25%.
Conclusion: Since 31.5% (Equity) is greater than 25% (Pot Odds), calling is a winning play over time.
function calculatePokerEquity() {
var outs = parseFloat(document.getElementById('outs').value);
var potSize = parseFloat(document.getElementById('potSize').value);
var callAmount = parseFloat(document.getElementById('callAmount').value);
var street = document.getElementById('street').value;
var resultDiv = document.getElementById('pokerResult');
if (isNaN(outs) || isNaN(potSize) || isNaN(callAmount)) {
alert("Please enter valid numbers for outs, pot size, and call amount.");
return;
}
if (outs > 47) outs = 47;
var equity = 0;
var totalCards = 0;
// Calculation Logic
if (street === "flopToTurn" || street === "turnToRiver") {
// One card to come
// (Outs / 47) or (Outs / 46)
totalCards = (street === "flopToTurn") ? 47 : 46;
equity = (outs / totalCards) * 100;
} else if (street === "flopToRiver") {
// Two cards to come
// 1 – ((Non-outs/47) * (Non-outs/46))
var nonOuts = 47 – outs;
var probabilityMissing = (nonOuts / 47) * ((nonOuts – 1) / 46);
equity = (1 – probabilityMissing) * 100;
}
// Pot Odds Logic
// Pot Odds % = Call / (Pot + Call)
var totalPotAfterCall = potSize + callAmount;
var potOddsPct = (callAmount / (potSize + callAmount)) * 100;
var potOddsRatio = potSize / callAmount;
// EV Calculation
// EV = (Equity * Total Pot) – ((1-Equity) * Call)
var winAmount = potSize;
var lossAmount = callAmount;
var ev = ((equity / 100) * winAmount) – ((1 – (equity / 100)) * lossAmount);
// Display
document.getElementById('equityPercent').innerText = equity.toFixed(2);
document.getElementById('potOddsRatio').innerText = potOddsRatio.toFixed(2);
document.getElementById('potOddsPercent').innerText = potOddsPct.toFixed(2);
document.getElementById('evResult').innerText = ev.toFixed(2);
var actionSpan = document.getElementById('pokerAction');
if (equity >= potOddsPct) {
actionSpan.innerText = "PROFITABLE CALL (+EV)";
actionSpan.style.color = "#1a472a";
} else {
actionSpan.innerText = "UNPROFITABLE CALL (-EV)";
actionSpan.style.color = "#b30000";
}
resultDiv.style.display = 'block';
}