Joint Probability Distribution Calculator
Easily calculate the joint probability distribution for two discrete variables. Enter your data and explore the probabilities.
Enter comma-separated numerical values for the first variable.
Enter corresponding comma-separated numerical values for the second variable.
Joint Probability Table
Understanding Joint Probability Distribution
Joint probability distribution helps us understand the probabilities of two or more random variables occurring simultaneously. For two discrete variables, say X and Y, it gives the probability that X takes a specific value and Y takes another specific value.
This calculator takes two sets of data, representing paired observations of two variables. It then computes the frequency of each pair of values and divides by the total number of pairs to estimate the joint probability for each combination.
The output is a table where rows represent values of the first variable, columns represent values of the second variable, and each cell contains the joint probability of the corresponding pair of values. This is useful in statistical analysis to see how variables relate and co-vary.
Learn more about joint probability distribution on resources like Wikipedia and educational statistics sites.