How Do You Find the Probability of 5 Card Poker Hands?

There are many ways to find the probability of 5 card poker hands. One way is to use the mathematics of probability.

Another way is to use a poker calculator. .

The mathematics of probability can be used to find the probability of any 5 card poker hand, including all possible combinations of cards. The following table lists the probabilities for each possible 5 card poker hand, as well as the odds of each hand occurring.

Hand Probability Odds
4 of a Kind 25% 1 in 4
3 of a Kind 18% 1 in 3
2 of a Kind 11% 1 in 2
1 of a Kind 6% 1 in 6
0 of a Kind 3% 1 in 100

The odds of getting a particular 5 card poker hand are based on the probability of that hand occurring and the number of different combinations that can be made with 5 cards. For example, there are 25 different ways to make 4 of a kind, and 18 different ways to make 3 of a kind. Therefore, the odds for getting 4 or more cards of the same rank is 1 in 4 (25%). The odds for getting 3 or more cards of the same rank is 1 in 3 (18%).

The odds for getting 2 or more cards of the same rank is 1 in 2 (11%). The odds for getting 1 or more cards of the same rank is 1 in 6 (36%). And, the odds for getting 0 or more cards of the same rank is 1 in 100 (6%).

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