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%.
Interpretation & quick tips
Outs: exact hit probability
If there are outs cards that help you, and you have k cards to come, the “hit at least once” probability is:
P(hit) = 1 − C(remaining − outs, k) / C(remaining, k)
In Hold’em from the flop, remaining = 47 and k = 2 (turn + river).
Pot odds (break-even threshold)
If the pot is P and you must call C to continue, the break-even win probability (ignoring future betting) is C / (P + C). This is just a math threshold, not a strategy recommendation.
Common pitfalls
- Double-counting outs: some cards complete multiple draws; the “outs” count should be the number of distinct helpful cards.
- Dirty outs: an out that improves you may also improve an opponent (e.g., pairing the board).
- Equity mode: this tool simulates against random opponents, so results can differ from range-vs-range equity.
References
How to use this calculator effectively
This guide helps you use Poker odds calculator for Texas Hold'em in a repeatable way: define a baseline, change one variable at a time, and interpret outputs with explicit assumptions before you share or act on results.
How it works
The page applies deterministic logic to your inputs and shows rounded output for readability. Treat it as a comparison workflow: run one baseline case, adjust a single parameter, and measure both absolute and percentage deltas. If a result seems off, verify units, time basis, and sign conventions before drawing conclusions. This approach keeps your analysis reproducible across teammates and sessions.
When to use
Use this page when you need a fast estimate, a classroom check, or a practical what-if comparison. It works best for planning and prioritization steps where you need direction and magnitude quickly before investing in deeper modeling, manual spreadsheets, or formal external review.
Common mistakes to avoid
- Changing multiple parameters at once, which hides the true cause of output movement.
- Mixing units (percent vs decimal, monthly vs yearly, gross vs net) across scenarios.
- Comparing with another tool without aligning defaults, constants, and rounding rules.
- Using rounded display values as exact downstream inputs without re-checking precision.
Interpretation and worked example
Run a baseline scenario and keep that result visible. Next, modify one assumption to reflect your realistic alternative and compare direction plus size of change. If the direction matches your domain expectation and the size is plausible, your setup is usually coherent. If not, check hidden defaults, boundary conditions, and interpretation notes before deciding which scenario to adopt.
See also
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.
What should I do first on this page?
Start with the minimum required inputs or the first action shown near the primary button. Keep optional settings at defaults for a baseline run, then change one setting at a time so you can explain what caused each output change.
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.