Poker Odds Calculator
Calculate your poker hand odds, outs, and probability to improve. Select your hole cards and community cards to see your hand strength and winning chances.
Formula
Probability = Outs / Remaining Cards
Poker odds are calculated by counting outs (cards that improve your hand) divided by unseen cards. The 'Rule of 2 and 4' gives quick estimates: multiply outs by 2 for one card to come, by 4 for two cards to come. This calculator uses Monte Carlo simulation for full probability distributions.
Worked Examples
Example 1: Flush Draw on the Flop
Problem:You hold A♥ K♥. Flop is 7♥ 3♥ J♠. What are your odds?
Solution:You have 4 hearts, need 1 more for a flush Remaining hearts: 13 - 4 = 9 outs Outs for top pair (3 aces, 3 kings): 6 more outs Total outs: ~15 Probability on turn: 15/47 = 31.9% Probability by river: ~54.1% (Rule of 4: 15 × 4 = 60% rough) Pot odds needed: Less than 2:1
Result:15 outs | ~54% to improve by river | Strong draw
Example 2: Pocket Pair on the Turn
Problem:You hold Q♠ Q♣. Board is 9♦ 5♥ 2♣ K♠. Should you continue?
Solution:Current hand: One Pair (Queens) The K on the turn is concerning — opponent could have K-x Outs to improve: 2 queens for a set = 2 outs Probability: 2/44 = 4.5% on the river Your pair of queens is still strong against most hands But proceed cautiously against aggression
Result:2 outs | 4.5% to improve | Medium hand strength
Frequently Asked Questions
What are poker outs and how do I count them?
Outs are the unseen cards that will improve your hand to a likely winner. For example, if you have 4 cards to a flush after the flop, there are 9 remaining cards of that suit (13 total minus 4 you can see) — so you have 9 outs. Common counts: flush draw = 9 outs, open-ended straight draw = 8 outs, gutshot straight draw = 4 outs, two pair to full house = 4 outs, one pair to two pair or trips = 5 outs. The 'Rule of 2 and 4': multiply outs by 2 for the turn probability, or by 4 for turn + river combined probability.
What are pot odds and how do I use them?
Pot odds compare the current size of the pot to the cost of calling a bet. If the pot is $100 and you must call $20, your pot odds are 5:1 (or you need to win 16.7% of the time to break even). Compare this to your equity (chance of winning): if your hand has a 25% chance of improving to the best hand, you should call because 25% > 16.7%. This is the mathematical foundation of poker — make calls when your equity exceeds the pot odds required, and fold when it doesn't. Over thousands of hands, this approach is profitable.
What is hand strength and how is it measured?
Hand strength is typically measured by what percentage of possible opponent hands yours beats. On the flop, a pair of aces beats about 85% of random hands. However, hand strength is relative to the board: a pair of jacks is strong on a 7-4-2 rainbow board but weak on an A-K-Q board. Poker Odds Calculator evaluates your best 5-card hand from all available cards and categorizes it from 'Weak' (high card) to 'Monster' (full house or better). Remember: a hand's absolute rank matters less than its relative strength against likely opponent holdings.
How do poker probabilities change from pre-flop to river?
Pre-flop, you have just 2 cards and 5 community cards to come — huge uncertainty. Getting dealt pocket aces: 0.45%. Flopping a set with a pocket pair: 11.8%. Making a flush from a suited hand: ~6.5% by the river. On the flop, with 3 community cards revealed, probabilities crystallize: a flush draw completes ~35% of the time (turn + river). On the turn with 1 card to come, probabilities are roughly halved: flush draw ~19.6%. On the river, your hand is final — no more improvement possible.
What are the odds of common poker events?
Pocket aces: 1 in 221 (0.45%). Any pocket pair: 1 in 17 (5.9%). Suited connectors (like 8-9 suited): 1 in 46 (2.1%). Flopping a set: 11.8%. Flopping two pair: 2.0%. Flopping a flush: 0.8%. Making a flush by the river with 4 suited cards on flop: 35.0%. Runner-runner flush (needing 2 cards): 4.2%. Being dealt suited cards: 23.5%. Royal flush by the river: 0.003% (1 in 30,940). Bad beat (set over set): ~1 in 100 when both have pocket pairs.
What is the difference between pot odds and implied odds?
Pot odds compare the size of your call to the size of the pot as it stands right now, and they give the minimum equity you need to break even on this street alone. Implied odds add the money you expect to win on later streets when your draw completes. A gutshot rarely justifies a call on pot odds alone, but it can be profitable against a deep-stacked opponent who will pay you off when you hit. Implied odds are an estimate rather than an arithmetic fact, so they should be applied conservatively.
How do I turn my equity into a call or fold decision on the flop?
Work out the break-even equity as the call amount divided by the final pot including your call. Facing a 50 chip bet into a 100 chip pot you call 50 to contest 200, so you need 25 percent equity. Compare that threshold with the probability the calculator reports for your hand. If your equity exceeds the threshold the call is profitable on this street; if it falls short you need implied odds, fold equity from a raise, or a fold. The same arithmetic works on every street.
Why is the Rule of 2 and 4 not exactly right?
The rule approximates a two-card probability by doubling the one-card figure, which double counts the cases where you hit on both streets. With nine flush outs and 47 unseen cards the exact chance of hitting by the river is one minus 38/47 times 37/46, which is about 35.0 percent, while the rule of 4 returns 36 percent. The gap widens as the out count grows, so the rule overstates big draws by several points and stays accurate to within about a point for small ones.
What are discounted outs and when should I not count an out in full?
An out is discounted when the card that improves your hand can simultaneously give an opponent something better. A flush card that pairs the board may complete a full house against you, a straight card on a two-tone board can bring in a flush, and a card that pairs your kicker may already be dominated. In those cases the out is worth a fraction of a clean out. Counting every theoretical out at full value is the most common reason a draw looks profitable on paper and loses money in practice.
Why does Poker Odds Calculator use Monte Carlo simulation instead of exact enumeration?
Exact enumeration evaluates every remaining board runout, which is quick for a single known hand but explodes combinatorially once opponent hole cards are unknown or several players are in the pot. Monte Carlo instead deals a large number of random completions and reports the observed frequency, converging on the true probability as the sample grows. The trade-off is a small sampling error rather than an exact figure, which is immaterial for decisions where the thresholds are separated by whole percentage points.
References
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer · Editorial policy
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