Free Bayes Theorem Conditional Probability Calculator

Calculate posterior probability P(A|B) instantly. Accurate, simple, and professional.

Input Variables

Prior P(A)

Likelihood P(B|A)

Evidence P(B)

Formula: P(A|B) = [P(B|A) × P(A)] / P(B)

P(A|B) = [? × ?] / ? = ?

Posterior Probability P(A|B)

Prior P(A): The initial probability of event A occurring before seeing the evidence.

Likelihood P(B|A): The probability of observing evidence B, given that event A is true.

Evidence P(B): The total probability of observing evidence B under all possible scenarios.

Bayes' Theorem updates the probability of a hypothesis as more evidence or information becomes available.

Result copied to clipboard!