Poker Hand Odds Calculator
Use this calculator to determine the probability of hitting your "outs" on the next street (turn or river) in Texas Hold'em. Understanding these percentages is crucial for making informed decisions at the poker table.
Understanding Poker Outs and Odds
In poker, an "out" is any card that, if dealt, will significantly improve your hand, often turning it into a winning hand. For example, if you have four cards to a flush, the nine remaining cards of that suit in the deck are your outs. Similarly, if you have an open-ended straight draw (e.g., 5-6-7-8), the four 4s and four 9s are your eight outs.
Why Calculate Poker Percentages?
Knowing your odds of hitting an out helps you make better decisions, especially when considering pot odds. If the pot offers you good enough odds to call a bet, even with a drawing hand, it might be a profitable play in the long run. Conversely, if the odds are against you, folding might be the best option.
The "Rule of 2 and 4"
A common heuristic in poker for quickly estimating your odds is the "Rule of 2 and 4":
- From Flop to Turn: Multiply your number of outs by 2. This gives you a rough percentage chance of hitting your out on the turn.
- From Flop to River (two cards to come): Multiply your number of outs by 4. This gives you a rough percentage chance of hitting your out by the river.
- From Turn to River: Multiply your number of outs by 2. This gives you a rough percentage chance of hitting your out on the river.
While this rule provides a quick estimate, the calculator above provides more precise probabilities.
Common Examples of Outs:
- Flush Draw: If you have four cards of the same suit, there are 9 remaining cards of that suit (13 total cards of a suit – 4 in your hand/on board = 9 outs).
- Open-Ended Straight Draw: If you have four cards in a row with two ends open (e.g., 5-6-7-8), there are 8 outs (four 4s and four 9s).
- Gutshot Straight Draw: If you need an inside card to complete a straight (e.g., 5-7-8-9, needing a 6), there are 4 outs.
- Overpair vs. Smaller Pair: If you have a pair and your opponent has a smaller pair, you might count the remaining cards of your pair as outs if you believe they will win the hand.
How to Use the Calculator:
- Enter Number of Outs: Count how many cards in the deck would improve your hand to a likely winner.
- Select Current Street: Choose whether you are on the Flop (3 community cards dealt) or the Turn (4 community cards dealt).
- Click "Calculate Odds": The calculator will display the precise probabilities for hitting your outs on the next card, and by the river if you are on the flop, along with the "Rule of 2/4" estimate.
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function calculatePokerOdds() {
var numOutsInput = document.getElementById("numOuts");
var currentStreetSelect = document.getElementById("currentStreet");
var resultDiv = document.getElementById("pokerOddsResult");
var numOuts = parseFloat(numOutsInput.value);
var currentStreet = currentStreetSelect.value;
if (isNaN(numOuts) || numOuts = cardsRemaining) {
resultDiv.innerHTML = "Number of outs cannot be greater than or equal to the remaining cards (" + cardsRemaining + ").";
return;
}
// Probability for Turn (1 card to come)
var probTurn = (numOuts / cardsRemaining) * 100;
resultHtml += "
Probability to hit on Turn: " + probTurn.toFixed(2) + "%";
// Probability for River (2 cards to come)
var probNotHitTurn = (cardsRemaining – numOuts) / cardsRemaining;
var probNotHitRiver = (cardsRemaining – 1 – numOuts) / (cardsRemaining – 1);
var probNotHitBoth = probNotHitTurn * probNotHitRiver;
var probByRiver = (1 – probNotHitBoth) * 100;
resultHtml += "
Probability to hit by River: " + probByRiver.toFixed(2) + "%";
// Rule of 4 estimate
var ruleOf4 = numOuts * 4;
resultHtml += "
Rule of 4 Estimate (by River): " + ruleOf4.toFixed(0) + "%";
} else if (currentStreet === "turn") {
cardsKnown = 6; // 2 hole cards + 4 community cards
cardsRemaining = 52 – cardsKnown; // 46 cards left
if (numOuts >= cardsRemaining) {
resultDiv.innerHTML = "Number of outs cannot be greater than or equal to the remaining cards (" + cardsRemaining + ").";
return;
}
// Probability for River (1 card to come)
var probRiver = (numOuts / cardsRemaining) * 100;
resultHtml += "
Probability to hit on River: " + probRiver.toFixed(2) + "%";
// Rule of 2 estimate
var ruleOf2 = numOuts * 2;
resultHtml += "
Rule of 2 Estimate (on River): " + ruleOf2.toFixed(0) + "%";
}
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