http://www.pimp-your-poker.com/poker-hands-ranking-odds/
What is a formula for poker odds in Texas hold 'em?
I need a formula for Holdem poker odds in that, if considered a suit and Map type (2-ace) and (can you) how I could tweak the formula to the number of cards in your hand and the "community trade" to change. I like my own poker games like Texas Hold 'em and I have a few new hands and I need to know which are harder, so I can give them a higher Rank
* Edit * I forgot, there is a simpler formula that makes the same calculations for certain. N_A N_b * * … (Different for # Types required) * (# takes Total Swap (# takes Total)) divided by D * # D-1 for total *…() For reasons takes the demonstration, assume, They Drawing 3, and you have to hit 3 types of cards in hand. Suppose a guy has 8 remaining cards in the deck has another 5, and the other has third Suppose the deck has 47 cards left. The math would look like this: [(8 * 5 * 3) / (47 * 46 * 45)] = 0.0074 * 3p3 Now assume we were drawing 4 cards and we needed 2 of the card with 8 in the deck, instead of just one. There would be a slight change in the formula: [(8 * 7 * 5 * 3) / (47 * 46 * 45 * 44)] * 4p4 / 2 = 0.00235 Division by 2 is here, two will need some sort of card is not the same as need one of two types of cards. We are permutations have to do. With two types of cards, we had more permutations. Consider: (8 / 52) * (7 / 51) and (7 / 52) * (8 / 51). But with two of a type of card, there are no (7 / 52), it would make no sense. So it happens that exactly half the number of permutations, so we shall divide the whole thing by 2. Here's a simpler example, where the formula is different. Find the probability of four aces when drawing five cards. In this example there is only one type of card is required to so not matter therefore there is no permutation used. A combination may be used, because there are more cards drawn as necessary. [4! / (52 * 51 * 50 * 49)] * (5 c 4) = 1.847 E-5 you have not notice any variations in the formula only understand the simple logic of the formula and you will know how to tailor it for each situation. Below is my response Original. It is a one-size-fits-all formula that you never have to optimize for a specific problem, it can solve all the above examples plus more. But it is complicated , so perhaps it is better to use it only for complicated problems. ((XC a) * [(zx) C (Na)] / (z n_total C)) * ((d C A_S) ^ r / (C n_total a_ss)) = probability of exactly one object of X in N, dependent events involve z = total number of items to choose from (in this Hold'em 52 is to be) x = Number of objects of the kind of thing that you need (for example, there are 13 spades) a = x how many of these objects you need (for example, you need 5 of spades a flush) n = how many will try to get the objects A (for example, if you see the river you get 7 cards) will be more than one value for X, A and N, if you need more than one type of card. They require two separate meters, and multiply them together before dividing by (z n_total C). N_total would be the sum the individual n values. In most cases, d = 1 and r = 1. But some problems require the calculation to divide in what I call "rounds". For example, someone recently asked the likelihood Blackjack treated 8 times in a row. For 8 rounds are (r = 8), because so little matters: Double-Aces get four times and double zig 4 times does not count as blackjack, you need to pass the aces and tens in eight two-card clusters. The D value is the number of draws per round. In this example, d = 2 because a blackjack hand has two cards. In addition, some problems require "sub-committees". That is, if not all rounds are equivalent (or otherwise words, if it issues at a micro level as well). This type of problem requires an additional (d C a) ^ r in the numerator before dividing by (n C a) multiplied be. (However, my formula could have a bug problem using sub-rounds, I'm looking in.) It is a powerful formula, but no doubt I'm confusing. So I would have used some screenings, as can be: "An urn has 9 balls, except that 5 are the same white and 4 red A sample of 6. exchange selected at random without. What is the probability that exactly 4 …?" are white (5 c 4) * [(9-5) c (6-4)] / (9 c 6) = 0357 Bingo: 75-number card draw from, 5×5, 1 free space in the center calculated: the probability of marking all 24 rooms in 47 picks or less. (24 c 24) * [(75-24) C (47-24)] / (75 c 47) = 6.3 E-7 Blackjack calculate the probability that the blackjack dealer gets 8 in a row, with a 4-deck shoe. (16 c
* [(208-16) c (8-8)] * (64 c
* [(208-64) c (8-8)] = (16 c
* (64 c
(16 c
* (64 c
/ (208 c 16) = 1.7548 E-10 (1.7548 E-10) * (2 c (8.8)) ^ 8 / (16 c
= 3.490556 E -12 Well try harder this formula to the problems I solved with the simple formula (4 aces in 5 cards, etc.). If She got the same answers that I do, then you have the basic idea of this formula. It would be better formula, a program that crunches for you so you have to do all is the input of variables and there is the answer. I already have such a program if you so I could attach the code for a TI calculator E-mail or wanted java version of the program.
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