# Conditional Probability

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**Formula:**`P(A|B) = P(A and B) / P(B)`

## 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.

Tags: Probability, Statistics, Conditional