Probability of Union of Events

Introduction to Probability of Union of Events

In probability theory, the probability of the union of two events, A and B, is given by the sum of the individual probabilities of each event minus the probability of their intersection. This formula is valid when the events are not necessarily mutually exclusive. The probability of each event must be a value between 0 and 1, inclusive.

Parameter usage:

• A= Probability of event A
• B= Probability of event B
• intersectionAB= Probability of the intersection of A and B

Output:

• P(A ∪ B)= Probability of the union of A and B

Data validation

Each parameter must be a number representing a probability between 0 and 1, inclusive. The probability of the intersection must not exceed the smaller of the probabilities of A or B.

Summary

This function calculates the probability of the union of two events, which is useful in various probabilistic scenarios such as in risk assessment or statistics.