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# Hypergeometric Distribution Formula with Problem Solution

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The hypergeometric distribution formula is a probability distribution formula that is very much similar to the binomial distribution and a good approximation of the hypergeometric distribution in mathematics when you are sampling 5 percent or less of the population. In order to understand the hypergeometric distribution formula deeply, you should have a proper idea of binomial distribution first to make yourself comfortable with combinations formula.

The formal definition for the hypergeometric distribution, where X is a random variable, is:

When the probability distribution for a hypergeometric random variable is calculated, this is named as the hypergeometric distribution. It will explain you how the different concepts in mathematics like random variable, experiments, probability, and hypergeometric distribution are related to each other.

When you are using hypergeometric distribution formula, this is necessary to understand the different notations carefully so that you can use them properly. If you are not sure of notations then it may lead some different output or wrong computation of formula.

This concept is frequently used in probability and statistical theory in mathematics. It also donates the total number of successes in a hypergeometric experiment. It will tell you the total number of draws without any replacement.

Take an example of deck of 52 cards where 5 cards are chosen without replacement then this is an example of hypergeometric distribution. It explains to you that the total number of successes is always greater than the probability of getting at least two kings in case cumulative probability.