Gambling terms, explained straight

Poker

Poker hand rankings probability

Poker hand rankings probability is the chance of being dealt each hand category in a given poker variant, usually from a standard 52-card deck.

Total possible hands
2,598,960 (52 choose 5)2
Royal flush frequency
4 hands, probability 1 in 649,7402
Ranking basis
Rarer hands rank higher, linking probability to ranking order3

Key points

  • Each hand category's probability is its frequency divided by 2,598,960 possible 5-card hands2.
  • In standard poker, deal rarity determines hand ranking: straight flushes are rarer than lower categories3.
  • Variants with altered decks or rules change these probabilities and may shift the ranking basis1.

Where this term is used

Sources

  1. 3.1 Frequency Versus... arxiv.org Supports that altered decks or rules change probabilities and ranking basis.
  2. Poker probability en.wikipedia.org Provides the total number of possible hands and the royal flush probability.
  3. Ranking of Poker Hands pagat.com Establishes the link between deal rarity and hand ranking order.

Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.