Joint Probability Distribution Calculator

Calculate probabilities from joint distributions and visualize results instantly.

Input Data

Enter the combinations of random variable values and their corresponding joint probabilities.

Random Variable Combinations (e.g., x1, y1)

Each line represents a combination, values separated by commas.

Joint Probabilities (e.g., 0.25)

Probabilities should correspond to the variable combinations in order.

Define Event

Specify the event to calculate its probability using variables 'a', 'b', 'c'...

Event Expression (e.g., a == 1 && b > 2)

Variables: 'a', 'b', 'c' ... | Operators: ==, !=, >, <, >=, <=, &&, ||

Result

Probability:

Visualization

Visual representation of the calculated probability.

Error

Understanding Joint Probability

Joint Probability Distribution shows the likelihood of combinations of outcomes for multiple variables. For example, consider tracking temperature and humidity. Their joint distribution indicates the chance of specific temperature and humidity levels occurring together.

This tool calculates the probability of a specific 'event' based on your provided joint distribution. You input possible combinations of variable values and their probabilities. Then, define an event using logical conditions (e.g., 'a == 1 && b > 2'). The calculator determines the probability of this event based on your input.

For instance, if 'a' is variable X and 'b' is variable Y, and you want to find the probability of X being 1 AND Y being greater than 2, input 'a == 1 && b > 2' as the event. This tool simplifies complex probability calculations and helps visualize joint probabilities.

For more in-depth information, explore resources on probability theory and joint distributions in statistics textbooks and online platforms.