Conditional Probability Calculator

Understand the likelihood of events with our easy-to-use calculator.

Enter the probabilities for events A and B to compute conditional probability.

Formula

The formula for Conditional Probability is given by:

$$P(A \cap B) = P(A) imes P(B|A)$$

Where:

$P(A \cap B)$ is the probability of both events A and B occurring.
$P(A)$ is the probability of event A occurring.
$P(B|A)$ is the conditional probability of event B occurring given that event A has occurred.

Probability of Event A (P(A))

Enter a value between 0 and 1.

Probability of Event B given A (P(B|A))

Enter a value between 0 and 1.

Conditional Probability (P(A ∩ B)):

Visualization

Understanding Conditional Probability

Conditional probability is the probability of an event occurring given that another event has already occurred. It's a fundamental concept in probability theory and statistics.

For example, consider drawing two cards from a deck without replacement. The probability of the second card being a king depends on whether the first card drawn was a king or not. This is conditional probability in action.

It is used in various fields such as risk assessment, medical diagnosis, and machine learning to make informed decisions based on prior events or conditions.

Learn more about conditional probability on resources like Wikipedia and Khan Academy.