Mastering Texas Hold'em requires moving beyond "gut feelings" and using mathematical probability. This calculator helps you determine your equity (your chance of winning the hand) and compares it to your pot odds (the price you are being offered to call).
What are "Outs"?
Outs are the specific cards left in the deck that will likely improve your hand to a winning one. For example, if you hold two hearts and the flop has two hearts, there are 9 hearts remaining in the deck (13 total – 4 visible). Those 9 cards are your "outs" to complete a flush.
Drawing Hand
Number of Outs
Open-ended straight draw
8
Four to a flush (Flush draw)
9
Inside straight draw (Gutshot)
4
Two overcards to a pair
6
Set to full house (on flop)
7
Pot Odds vs. Equity
The golden rule of poker math: If your equity (win %) is higher than the pot odds (%) you are being offered, you should call.
Equity: The mathematical likelihood you will hit your hand.
Pot Odds: The ratio of the current pot size to the amount you must call. If the pot is $100 and you must call $20, you are getting 5:1 odds (or needing 16.6% equity).
The Rule of 2 and 4
A quick mental shortcut used by professionals:
On the Flop: Multiply your outs by 4 to get your approximate % to win by the river.
On the Turn: Multiply your outs by 2 to get your approximate % to win on the final card.
Our calculator uses precise hypergeometric distribution for the Flop to River calculation to give you the exact mathematical edge.
function calculatePokerOdds() {
var outs = parseInt(document.getElementById('poker_outs').value);
var street = document.getElementById('poker_street').value;
var pot = parseFloat(document.getElementById('poker_pot').value);
var call = parseFloat(document.getElementById('poker_call').value);
var resultsArea = document.getElementById('poker_results_area');
var resEquity = document.getElementById('res_equity');
var resCardOdds = document.getElementById('res_card_odds');
var resPotOdds = document.getElementById('res_pot_odds');
var adviceBox = document.getElementById('poker_advice');
if (isNaN(outs) || outs 47) {
alert("Please enter a valid number of outs (0-47).");
return;
}
var equity = 0;
var cardsRemaining = (street === 'flop') ? 47 : 46;
if (street === 'flop') {
// Calculation for 2 cards to come (Flop to River)
// Probability of NOT hitting on turn AND NOT hitting on river
var missTurn = (47 – outs) / 47;
var missRiver = (46 – outs) / 46;
var totalMiss = missTurn * missRiver;
equity = 1 – totalMiss;
} else {
// Calculation for 1 card to come (Turn to River)
equity = outs / 46;
}
var equityPercent = (equity * 100).toFixed(2);
// Calculate ratio odds (X to 1)
var ratioVal = equity > 0 ? ((1 – equity) / equity).toFixed(2) : 0;
resEquity.innerHTML = equityPercent + "%";
resCardOdds.innerHTML = ratioVal + " to 1″;
// Pot Odds Calculation
if (!isNaN(pot) && !isNaN(call) && call > 0) {
var totalPotAfterCall = pot + call;
var potOddsPercent = (call / (pot + call + call)) * 100; // Traditional pot odds formula: Call / (Pot + Call)
// Correct standard: Call / (Current Pot + Your Call)
var potRequiredEquity = (call / (pot + call)) * 100;
resPotOdds.innerHTML = potRequiredEquity.toFixed(2) + "%";
if (parseFloat(equityPercent) >= potRequiredEquity) {
adviceBox.innerHTML = "Decision: CALL. Your hand equity (" + equityPercent + "%) is greater than the price of the pot (" + potRequiredEquity.toFixed(2) + "%). This is a profitable play in the long run.";
adviceBox.style.borderLeftColor = "#2e7d32";
} else {
adviceBox.innerHTML = "Decision: FOLD. Your hand equity (" + equityPercent + "%) is lower than the price of the pot (" + potRequiredEquity.toFixed(2) + "%). Unless you have high 'implied odds', this call loses money.";
adviceBox.style.borderLeftColor = "#d32f2f";
}
} else {
resPotOdds.innerHTML = "Enter Pot/Call data";
adviceBox.innerHTML = "Enter pot size and call amount to see if the math supports staying in the hand.";
}
resultsArea.style.display = "block";
}