Unlock the complexities of conditional probability for three events with our intuitive Venn Diagram calculator. Input probabilities like P(A), P(B), P(C), and their intersections to instantly compute conditional probabilities such as P(A|B), P(B|A), and P(A|C). Perfect for academic study or practical application.
Formula:
The core formula for conditional probability, fundamental to Venn Diagrams, is P(X|Y) = P(X ∩ Y) / P(Y), where:
- P(X|Y): The probability of event X occurring given that event Y has occurred.
- P(X ∩ Y): The probability of both events X and Y occurring (their intersection).
- P(Y): The probability of event Y occurring.
For three events (A, B, C), this calculator uses your inputs for individual probabilities and their intersections to compute various conditional probabilities.