Probability of Intersection of Two Events

Introduction to Probability of Intersection of Two Events

The probability of the intersection of two events, A and B, denoted as P(A ∩ B), is the probability that both events occur. When two events are independent, the probability of their intersection is the product of their individual probabilities. This calculation is fundamental in the field of probability theory and statistics and has various practical applications in real-life scenarios, such as determining the likelihood of two independent occurrences happening concurrently.

Parameter usage:

• probabilityA = probability of event A occurring
• probabilityB = probability of event B occurring
• probabilityAandB = probability of both A and B occurring together

Output:

• intersectionProbability = probability of the intersection of events A and B

Data validation

The input probabilities should be between 0 and 1.

Summary

This calculator computes the probability of the intersection of two independent events based on their individual probabilities.