Union and Intersection Probability Calculator

This calculator is designed to determine the union and intersection probabilities based on the two independent events.

Result:

How to Use the Probability Calculator?

  1. First, input values for two independent events P(A) and P(B).
  2. Press the 'Calculate' button.
  3. Finally, the tool shows the complements [P(A') and P(B')], union [P(AUB)], intersection [P(A∩B)], and exclusive OR [P(AΔB)] probabilities of given events.

How to Calculate?

The probabilities for the two events are calculated using the following formulas:

P(A') = 1 - P(A)

P(B') = 1 - P(B)

P(A∩B) = P(A) × P(B)

P(A∪B) = P(A) + P(B) - P(A∩B)

P(AΔB) = P(A) + P(B) - 2P(A∩B)