Poker Hand Probability Calculator

Why hand rankings are ordered the way they are

Poker hand rankings directly follow probability - rarer hands rank higher, and the gap between rankings is dramatic, from nearly a coin-flip chance of at least one pair down to an incredibly rare royal flush.

Worked example

For a Full House:

Probability = 3,744 / 2,598,960 = 0.14406% (1 in 694)

Hand	Probability
Royal Flush	1 in 649,740
Four of a Kind	1 in 4,165
Full House	1 in 694
One Pair	1 in 2.37

These are the well-documented standard probabilities for a single 5-card hand dealt from a shuffled 52-card deck, forming the mathematical backbone of poker hand rankings.