# Poker probability of four of a kind

I have to resolve this exercise: I have 52 cards. I get 5 cards. Calculate the probability I get a poker hand of four-of-a-kind. well I applied the formula ${52 \choose 5}=\frac{52!}{5!47!}$ to calculate every...

Determining probability of 4 of a kind in a 5 card poker I am supposed to determine the probability of 4 of a kind in a 5 card poker draw using Matlab. I understand the first thing I have to do is generate a deck and shuffle the cards, then draw 5 cards. I am having trouble with determining whether the hand is 4 of a kind or not. Probability of Poker Hands - University of Minnesota Every card has a suit and value, and every combination is possible. Hence a standard deck contains 13·4 = 52 cards. A “poker hand” consists of 5 unordered cards from a standard deck of 52. = 2,598,9604 possible poker hands. Below, we calculate the probability of each of the standard kinds of poker hands. Poker probability - Wikipedia

## There are a total of 2598960 5 card hands, so four of a kind has a chance of 624 / 2598960 = 0.024% In Texas Hold'em there is a 0.15% chance for a player to get four of a kind.

Poker probability - Howling Pixel Cumulative probability refers to the probability of drawing a hand as good as or better than theFor example, in seven-card stud, if four of a player's first five cards are all spades, but the hand isPoker calculators are algorithms which through probabilistic (see Poker probability) or statistical (via a... what is the probability of getting 3 of a kind in poker?… 3 of a kind is: Any three cards of the same rank with two other different cards. I know the answer it suppose to be 54912/2598960.Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. Four of a kind (4 cards of the same value) I keep... Poker probability - Academic Kids In poker, the probability of each type of 5 card hand can be computed by calculating the proportion of hands of that type among all possible hands.Four of a kind -- Any one of the thirteen ranks can form the four of a kind, leaving 52 − 4 = 48 possibilities for the final card.

### Of course you have to be holding the right cards for the odds to be correct. For example for cards to a royal is made up of four suited cards in the 10 to Ace range. Four to a flush is four suited cards etc.

probability of being dealt four of a kind in poker According to Wiki:Poker probability, or better this here, you'll have the following: There are 624 possible hands including four of a kind; the probability of being dealt one in a five-card deal is \$\frac {C_{13}^1 C_{4}^4 \cdot C_{12}^1 C_{4}^1} {C_{52}^5} = \frac {13 \cdot 1 … Probability of Poker Hand - stattrek.com The number of ways to produce four of a kind (Num 4) is equal to the product of the number of ways to make each independent choice. Therefore, Num 4 = 13 C 1 * 12 C 1 * 4 C 1 = 13 * 12 * 4 = 624. Conclusion: There are 624 different ways to deal a poker hand that can be classified as four of a kind. Finally, we compute the probability. PROBABILITY: 5-CARD POKER HANDS Jan 02, 2005 · A STRAIGHT. This is five cards in a sequence (e.g., 4,5,6,7,8), with aces allowed to be either 1 or 13 (low or high) and with the cards allowed to be of the same suit (e.g., all hearts) or from some different suits. The number of such hands is 10* [4-choose-1]^5. The probability is 0.003940.