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The probability of getting 4 of a kind with 5 dice is: 6 5C4 (1/6)4 (5/6) = 0.0192901..≈ 1.93%
The chances of getting 4 of a kind is: 13 * 48! / 52! = 1 in 499,800
46 to 1.
in a card deck with only 52 cards and a 5 card hand the probability is (52/52)(3/51)(2/50)(1/49)(48/48)=14976/311875200=3/62475 thus meaning you have a 3 out of 62475 chance of obtaining a four of a kind
The probability of getting two pairs in a standard deck of playing cards is higher than the probability of getting three of a kind.
The probability of getting two pair or three of a kind in a standard 5-card poker hand is approximately 23.5.
The probability of getting a poker hand with three of a kind and a pair in a standard 52-card deck is approximately 0.24, or 1 in 416.
The probability of getting 2 pairs in a poker hand is higher than the probability of getting 3 of a kind.
Yahtzee
The probability of being dealt a three of a kind in poker is approximately 2.11.
In the board game Yahtzee, a Yahtzee is a five-of-a-kind, when all five dice show the same value.
In the game of Yahtzee a full house is worth 25 points. A full house consists of 2 dice with the same number and three dice with the same numbers.
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A Yahtzee is when all the dice show the same number, i.e. 5 of a kind.
· Yahtzee
The probability of getting both a 3 of a kind and a 2 of a kind in a single hand of poker is very low, as it requires specific combinations of cards. This scenario is known as a full house, and the probability of getting a full house in a hand of poker is approximately 0.1441, or about 14.41.