five card poker hand probability calculator

Poker calculator is the simplest and one of the most popular poker programs among beginners. #P('full house')=3744/(2,598,960)~=.00144=0.What is a Poker Calculator? How to Use the Poker Odds Calculator Pros and Cons of the Program and two of a kind (pair) from one of the remaining 12 ordinals Three of a kind from one of the 13 ordinals. To have 3 of a kind, we select 3 of the 4 cards in one of the 13 available ordinals and then from another of the remaining 12 ordinals, we select 2 of the 4 (and then we multiply the two calculations). To solve this, we need to remember that there are 13 ordinal cards (Ace, 2-10, Jack, Queen, King), with 4 suits (Hearts, Diamonds, Clubs, Spades), for a total of 52 cards ( #4xx13=52#) #(52xx51xxcancelcolor(orange)(50)^10xx49xxcancelcolor(red)48^2xxcancelcolor(brown)(47!))/(cancelcolor(orange)5xxcancelcolor(red)(4xx3xx2)xxcancelcolor(brown)(47!))=52xx51xx10xx49xx2=2,598,960#Īnd now to calculate the number of full house hands that can be made. #C_(n,k)=(n!)/((k!)(n-k)!)# with #n='population', k='picks'#įirst let's calculate the denominator (picking 5 random cards from a pack of 52 cards):

To find the probability of finding a full house (a three of a kind and a 2 of a kind in the same 5-card hand), we find the number of ways we can achieve the full house and divide by the number of 5-card hands possible.įor all of these calculations, we'll use the combinations formula (because we don't care about the order in which we draw the cards, only that we have them):

Five card poker hand probability calculator