Poker Odds Calculator
Calculate Texas Hold em hand probabilities for pre-flop, flop, turn, and river. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer
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 odds and probability?
Probability is expressed as a number between 0 and 1 (or a percentage), representing the likelihood of an event. Odds compare favorable outcomes to unfavorable ones — odds of 3:1 means 3 wins for every 1 loss, which is a probability of 3/(3+1) = 75%. Casinos often express odds differently from true probability to build in their house edge.
How do poker hand probabilities work?
In a standard 52-card deck, there are 2,598,960 possible 5-card hands. Royal flush: 4 (0.000154%); straight flush: 36 (0.00139%); four of a kind: 624 (0.024%); full house: 3,744 (0.144%); flush: 5,108 (0.197%); straight: 10,200 (0.392%); three of a kind: 54,912 (2.11%); two pair: 123,552 (4.75%); one pair: 1,098,240 (42.3%); high card: 1,302,540 (50.1%).
References
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer · Editorial policy
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