What is the difference between Binomial and Hypergeometric distribution?

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Accepted Answer

Binomial distribution is used for discrete random variables with fixed number of trials and constant probability, while Hypergeometric distribution is used for sampling without replacement.

Binomial distribution is used when there are fixed number of trials, each trial is independent, and the probability of success remains constant.
Hypergeometric distribution is used when sampling without replacement, where the probability of success changes as each item is selected.
Binomial distribution is based on the number of successes in a fixed number of trials, while Hypergeometric distribution is based on the number of successes in a sample drawn without replacement from a finite population.
Example of Binomial distribution: Flipping a coin multiple times and counting the number of heads.
Example of Hypergeometric distribution: Drawing cards from a deck without replacement and calculating the probability of getting a certain number of aces.

What is the difference between Binomial and Hypergeometric distribution?

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