Probability Calculator

Calculate, visualize, and simulate discrete probability problems

Basic Probability

Discrete Distributions

Set Algebra & Venn Diagram

Probability Formulas

Simple Probability

P(A) = |A| / |S|

Conditional Probability

P(A|B) = P(A ∩ B) / P(B)

Bayes' Theorem

P(A|B) = [P(B|A)P(A)] / P(B)

Joint Probability

P(A ∩ B) = P(A)P(B) (if independent)

Union

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Complement

P(¬A) = 1 - P(A)