Conditional Probability

Introduction to Conditional Probability Calculator

Conditional probability is the probability of an event A, given that another event B has already occurred. The formula for calculating this is given by P(A|B), which is the probability of A and B occurring together, represented by P(A and B), divided by the probability of B, P(B). This concept is a fundamental aspect of probability theory and is used in a wide array of statistical applications including Bayesian inference and various predictive models.

Parameter usage:

• AandB = Probability of both A and B occurring
• B = Probability of B occurring

Output:

• conditionalProbability = Probability of A given B

Data Validation:

Both probabilities must be values between 0 and 1, with B not equal to zero since you cannot condition on an event with zero probability.

Summary:

This calculator determines the likelihood of one event based on the occurrence of a second event. It's a crucial concept in various fields such as finance, medicine, weather forecasting, and more.