Poker Hand Odds Calculator
Use this calculator to determine the probability of hitting your draw on the turn or river in Texas Hold'em, based on the number of "outs" you have.
Enter the number of cards remaining in the deck that will complete your hand (e.g., 9 for a flush draw, 8 for an open-ended straight draw).
Select whether you are currently on the flop or the turn.
Understanding Poker Hand Odds and Outs
In poker, particularly Texas Hold'em, understanding your "outs" and the probability of hitting them is crucial for making informed decisions. An "out" is any card remaining in the deck that will improve your hand to a likely winner.
How to Count Outs
- Flush Draw: If you have four cards of the same suit, there are 9 remaining cards of that suit in the deck (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 to complete the straight (e.g., 5-6-7-8), there are 8 outs (four 4s and four 9s).
- Gutshot Straight Draw: If you have four cards in a row with a gap in the middle (e.g., 5-7-8-9), there are 4 outs (four 6s).
- Set/Trips to Full House/Quads: If you have a set (three of a kind) and there's a pair on the board, you have outs for a full house. If you have a pair and hit another card of that rank, you have outs for trips.
- Overpair to Set: If you have an overpair (e.g., AA on a K-7-2 board), you have 2 outs to hit a set.
It's important to remember that "discounted outs" exist. These are cards that might complete your hand but also complete a stronger hand for an opponent (e.g., if your flush draw also completes a straight for someone else, or if a card that gives you a straight also gives someone a flush).
Calculating Probabilities
The calculator uses simple probability formulas based on the number of unknown cards remaining in the deck:
- From Flop (3 community cards): There are 52 total cards. You know your 2 hole cards and 3 flop cards, leaving 47 unknown cards.
- From Turn (4 community cards): After the turn card is dealt, there are 46 unknown cards remaining.
The basic formula for hitting on the next street is: (Number of Outs / Number of Unknown Cards) * 100%.
To calculate the probability of hitting by the river (from the flop), it's easier to calculate the probability of not hitting on either the turn or the river, and subtract that from 100%.
Examples:
Let's say you have a flush draw on the flop (9 outs):
- Probability to hit on the Turn: (9 / 47) * 100% = approximately 19.15%
- Probability to hit by the River: 1 – ((38 / 47) * (37 / 46)) * 100% = approximately 34.97%
If you have the same flush draw on the turn (9 outs):
- Probability to hit on the River: (9 / 46) * 100% = approximately 19.57%
These odds are fundamental for understanding pot odds and making profitable decisions in poker.