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What is the probability of two aces in 12 cards in a deck of 52 cards altogether?
Hi, I was wondering the likelihood of this type of situation, if you could provide the formula / equations associated with it I'd appreciate it. Even if a link to two points on a web page, if you could tell me is an example. Thanks
You can use the hypergeometric distribution to find the solution Let X be the number of aces in a hand of 12. X has the distribution hypergeometric with the following parameters. K = number of elements drawn = 12 N = total objects = 52 M = number of objects of a certain type = 4 Role probability mass for the hypergeometric distribution is defined as: P (X = x | N, H, K) = (MC x) * ((N – M), C (K – x)) / (NCK) for x = {0, …, K}, M – (N – K) ≤ x ≤ KP (X = 0 | N, H, K) = 0 otherwise Note that the constraints on x here are very generic and can be a value of K, N and M such that for x in {0, … ,} P (X = x) = 0. K If you have n objects and chose r of them, the number of combinations is: n! / (! R! (nr)) this can be written as the nCr NCK is the total number of possible combinations of objects taken from objects KN). MC x is the number of combinations of getting x objects given the nature of the (N – MC (K – x) is the number of combinations of objects written to be developed. As for the APP should be able to see which is the ratio between the number the combination of the X selection of items of interest times the number of combinations of choosing K – elements of the remaining items and this is divided by the total number of the combination for the selection of K of N elements. objects X The expectations of the Hypergeometric distribution is KM / N = 0.923077 Probability Mass Function, PMF, f (x) = P (X = x) is: P (X = 0) = 0.337575 P (X = 1) = 0.4379352 P (X = 2) = 0.1901561 < <<P ANSWER <(X = 3) = 0.03250531 P (X = 4) = 0.001828424
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