For Researchers · Poker Odds
Poker Odds for a click-through rate
Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a click-through rate live below — adjust the inputs and watch it respond, right in your browser.
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.
Data Inspector
Full house3,744 hands
Probability0.1441%
Odds1 in 694
Governing equation
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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Frequently asked questions
- Is this good for researchers?
- Yes — this version of "Poker Odds for a click-through rate" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.