Four of a Kind is a hand that contains all four cards of one rank, such as 4 Aces. It ranks above a Full House and below a Straight Flush.
While Four of a Kind is not an exceptionally rare hand, it is considerably harder to make than a Full House. The probability of being dealt Four of a Kind is 0.
024%, or 1 in 4,165.
There are 13 possible ranks for the first card in a Four of a Kind hand (2 through Ace), and for each of those ranks there are 12 possible ranks for the second card, 11 possible ranks for the third card, and 10 possible ranks for the fourth card. That gives us a total of 13x12x11x10 = 17,160 possible ways to make Four of a Kind.
PRO TIP:In Texas Hold’em poker, 4 of a kind is a rare occurrence and usually happens when two players have the same pair and the board has the same rank as one of the pairs. This is known as ‘quads’ and is considered a very strong hand.
The total number of ways to make any poker hand is 2,598,960, so the probability of making Four of a Kind is 2,598,960 / 17,160 = 0.024%, or 1 in 4165.
While Four of a Kind is not an exceptionally rare hand, it is still considerably harder to make than a Full House.
024%, or 1 in 4165. So if you’re ever lucky enough to be dealt this hand in poker, savor the moment!.
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