Hypergeometric Distribution Calculator
Calculate probabilities for sampling without replacement from finite populations
About this calculator
The Hypergeometric Distribution Calculator computes probabilities for sampling scenarios where you draw items from a finite population without replacement. This statistical tool is essential for quality control, survey sampling, and game theory applications where the population size is limited and each selection affects subsequent draws. Unlike binomial distributions, hypergeometric calculations account for the changing probability as items are removed, making it crucial for accurate analysis in finite population studies, defect detection, and lottery-type probability problems.
How to use
Enter the population size, number of success states in the population, sample size, and desired number of successes in your sample. The calculator will compute the exact probability using the hypergeometric formula. Use this for scenarios like drawing cards without replacement, quality testing batches, or analyzing survey samples from finite groups.
Frequently asked questions
When should I use hypergeometric instead of binomial distribution?
Use hypergeometric when sampling without replacement from finite populations where each draw changes the probability for subsequent draws.
What's the difference between population size and sample size?
Population size is the total number of items available, while sample size is how many items you're actually drawing.
Can I use this calculator for card probability problems?
Yes, this calculator is perfect for card problems since decks are finite and cards aren't replaced after drawing.