How do I simulate a correlation study?

Open this page and use the live Poker Odds tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a correlation study from your own measurements.

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Poker Odds for a correlation study

Simulate a correlation study live in your browser. This runs the real Poker Odds solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Poker Hand OddsLive

the mathematics of a five-card hand

Poker hands by probability (log scale)

Royal flush

1 in 649,740

Straight flush

1 in 72,193

Four of a kind

1 in 4,165

Full house

1 in 694

Flush

1 in 509

Straight

1 in 255

Three of a kind

1 in 47

Two pair

1 in 21

One pair

1 in 2

High card

1 in 2

Controls

Highlight a hand

There are exactly 2,598,960 distinct five-card poker hands. Ranking them by rarity gives the hand hierarchy: a royal flush occurs once in about 650,000 deals, while nearly half of all hands are just a pair or high card. The odds are pure combinatorics — counting how many of the C(52,5) hands match each pattern.

▶ Run in Python

Data Inspector

Full house3,744 hands

Probability0.1441%

Odds1 in 694

Governing equation

P = \frac{3 , 744}{( 5 52 )} = \frac{3 , 744}{2 , 598 , 960} \approx 0.1441%

Reading this result: A full house sits mid-table: it fills about 0.14% of the 2,598,960 possible hands, or roughly 1 in 694.

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About this simulation

The full Poker Odds tool models a correlation study with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

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Frequently asked questions

How do I simulate a correlation study?: Open this page and use the live Poker Odds tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a correlation study from your own measurements.