What is the Hypergeometric Distribution Calculator?

The Hypergeometric Distribution Calculator is a statistical tool used to calculate the probability of obtaining a specific number of successes in a sample drawn without replacement from a finite population. By entering the population size, the number of successes in the population, the sample size, and the desired number of successes in the sample, the calculator computes the exact probability for that scenario. This is useful for quality control, lottery problems, and any situation involving sampling without replacement.

How to Use:

1. Enter Population Size (N): Input the total number of items in the population.
2. Enter Number of Successes in Population (K): Input how many items in the population are considered “successes.”
3. Enter Sample Size (n): Input the number of items drawn from the population.
4. Enter Number of Successes in Sample (k): Input the number of successes you want to find the probability for in your sample.
5. Click “Calculate”: The calculator computes the hypergeometric probability P(X = k) for the given inputs.
6. Review Result: The output displays all input values and the calculated probability, showing the likelihood of obtaining exactly k successes in the sample.