# Hypergeometric Calculator

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The Hypergeometric Distribution Calculator is a free online tool meant to assist you by displaying the mean, variance, standard deviation for the success probability without replacement.

In statistics and probability theory, hypergeometric distribution is defined by experts as the discrete probability distribution, which describes the probability of success in various draws without replacement.

Some of the statistical properties of the hypergeometric distribution are mean, variance, standard deviation, skewness, kurtosis. This distribution is applicable only for the finite population without replacement and where the trials are dependent.

The procedure to use the hypergeometric distribution calculator is as follows:

Step 1: You need to enter multiple values like the population size, number of successes and number of trials in the input field for this step.

Step 2: Next up click the button “Generate Statistical properties” to get the result.

Step 3: Finally, the mean, variance, standard deviation, skewness, kurtosis of the hypergeometric distribution will be displayed in the new window or tab.

For instance, suppose you first randomly sample one card from a deck of 52. Then, without putting the card back in the deck you record a sample for the second time and then (in case of without replacement of cards) a third.

Given this sampling procedure, what is the probability that exactly two of the sampled cards will be aces (4 of the 52 cards in the deck are aces, surely you know that)? This is where the calculator helps you.