Definition of three of a kind

In poker, three of a kind is a hand consisting of three cards of the same rank. If you have AA in your hand on A-5-8, you have three of a kind. Three of a kind is a very strong hand that will win the pot in the showdown most of the time. When two players have the same three of a kind, the sidekick will determine who wins the pot. For example, on a 5-5-7-2-8 board, the player with A5 will win the hand against a player who has 5-6 or K5 with his sidekick ace.

Brelan, set and three of a kind

In French, 3 cards of the same value is a three of a kind. In English, there is a distinction between "three of a kind" and "set". The "three of a kind" is when you share the possibility of three of a kind with the other players at the table, while the "set" is exclusive to you. For example, if the flop is A-A-5, two players can have the ace for three of a kind. This is called a "three of a kind" since the three of a kind uses two of the community cards. But if you have AA in your hand on A-5-2, now you are certain to be the only player at the table with three of a kind. Since you have three of a kind using a pair in your hand, you are said to have a "set". A "set" is a theoretically stronger three of a kind.