What is the difference between Mutually Exclusive and Independent - ProProfs Discuss

What is the difference between Mutually Exclusive and Independent Events?

Asked by G. GRAY, Last updated: Mar 22, 2020

G. Jabez

G. Jabez

Mutually Exclusive and Independent Events are two terms you are mostly to see in mathematics, especially when solving questions relating to probability. Mutually exclusive and independent events are used to describe or to determine the probability of multiple events happening at the same time.

Mutually exclusive means two events cannot occur at the same time. In other words, it means the occurrence of one event implies the non-occurrence of the event. Assuming a and b are the two events, the probability of the two events occurring at the same time is usually represented as Pr (a and b) =0.

On the other hand, independent events mean the probability that an event will occur does not depend on the occurrence of another event i.e., the occurrence of one event does not determine or influence the occurrence of another event. Assuming a and b are the two events, Independent events are usually represented by pr (a and b) = pr (a).