Overview
Use the tabs below to switch between the 5-card hand probability table, outs hit rates, and Hold'em distributions. Results update with shareable URLs and CSV exports so you can reuse examples in study notes or lessons.
Start with the hand odds table, then jump to outs, Hold'em hand distributions, or equity simulation versus random opponents.
| Hand | Count | Probability | 1 in N |
|---|
Based on 5-card hands from a 52-card deck (no jokers).
Result meaning: these are unconditional odds across all possible 5-card hands.
Hit probability
Result meaning: this is the probability of hitting at least once within the remaining cards.
Cards
- Select 2 hole cards and up to 5 board cards.
- Choose exact or simulation mode (auto is recommended).
- Read the distribution and copy a shareable link.
All calculations run locally in your browser.
Distribution
Result meaning: this distribution ignores opponents and shows only your final hand categories.
Simulation settings
- Set opponent count and trials.
- Run the simulation (seed optional).
- Read win/tie/lose estimates.
Opponents are modeled as fully random hands.
Results
Result meaning: equity is an estimate against random opponents, not a range-vs-range analysis.
Examples
- Flush draw (9 outs) from the flop: hit by the river is about 34.97%.
- Open-ended straight draw (8 outs) from the flop: about 31.45% by the river.
- Pocket pair hitting a set on the flop: about 11.76%.
FAQ
What are the odds of each poker hand?
The table lists exact 5-card hand counts and probabilities from a 52-card deck, plus the reciprocal frequency (1 in N).
What is the hit rate for a 9-out flush draw?
From the flop (known=5), the exact chance to hit by the river is 1 - C(38,2)/C(47,2) ≈ 34.97%.
How are hand distributions different from equity?
Distributions ignore opponents and show only your final hand category. Equity simulates win/tie/lose odds against random opponents.
Why use a simulation seed?
A seed keeps the random stream fixed so results are reproducible across runs and shared URLs.
Related
- nCr/nPr calculator Use combinations for card probabilities.
- Hypergeometric calculator Model outs and draw probabilities.
- Birthday paradox Another classic probability tool.
How it's calculated
- 5-card hand odds use exact counts from C(52,5) = 2,598,960.
- Outs hit rate uses the complement: 1 - C(U-outs, toCome) / C(U, toCome).
- Hold'em distributions enumerate remaining boards when fast, or simulate with a seeded PRNG.