Poker hand

Poker is a family of card games. The players depend on betting and cards in hand to win.

Luck is an element that always appear in card games. Each set of cards has a ranking, and the higher ranking will win. Let's find out about ranking categories.

A straight flush poker hand
A straight flush poker hand.

Ranking categories of poker hand

The ranks in ascending order are 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K and A.

The suits are ♣, , and ♠.

List of ranking categories decrease from high to low.

  • Straight Flush. It contains five cards of sequential rank, all of the same suit.

    Example: J♥, 10♥, 9♥, 8♥, 7♥.

  • Four of a Kind. It contains four cards of one rank.

    Example: 8♥, 8♦, 8♣, 8♠, K♥.

  • Full House. It contains three cards of one rank and two cards of another rank.

    Example: 5♥, 5♦, 5♣, Q♥, Q♦.

  • Flush. It contains five cards all of the same suit, not all of sequential rank.

    Example: A♥, J♥, 10♥, 6♥, 2♥.

  • Straight. It contains five cards of sequential rank, not all of the same suit.

    Example: 8♥, 7♦, 6♣, 5♠, 4♥.

  • Three of a Kind. It contains three cards of one rank.

    Example: 9♥, 9♦, 9♣, 10♠, 7♥.

  • Two Pairs. It contains two cards of one rank and two cards of another rank.

    Example: A♥, A♦, 10♥, 10♦, Q♣.

  • One Pair. It contains two cards of one rank.

    Example: K♥, K♦, A♣, J♠, 5♥.

  • High Card. It does not fall into any other ranking category.

    Example: A♥, Q♦, 10♣, 7♠, 3♥.

It seem the higher ranking, the higher rare level. We will make some calculation.

The rate of ranking categories

The rule accepts ace-to-five as lowest-straight.

We know that this problem was calculated by other source (example: "Poker probability" of Wikipedia). So we refer to the result.

Ranking 5 cards 7 cards
Frequency Rate Frequency Rate
Straight Flush 40 0.002% 41,584 0.031%
Four of a Kind 624 0.024% 224,848 0.168%
Full House 3,744 0.144% 3,473,184 2.596%
Flush 5,108 0.197% 4,047,644 3.025%
Straight 10,200 0.392% 6,180,020 4.619%
Three of a Kind 54,912 2.113% 6,461,620 4.830%
Two Pairs 12,3552 4.754% 31,433,400 23.496%
One Pair 1,098,240 42.257% 58,627,800 43.823%
High Card 1,302,540 50.118% 23,294,460 17.412%
{Total} 2,598,960 100.000% 133,784,560 100.000%

We also calculate the win rate for specific case. Go to Poker hand tool and check.

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