In general notation,the probability of observing at least one of event A and event B is:
A).50
B)p(A or B)= p(A)+ p(B)
C)p(A or B)= p(A)+ p(B)+ p(A,B)
D)p(A or B)= p(A)+ p(B)- p(A,B)

Question

Quizplus · Accepted Answer

The correct formula for the probability of observing at least one of event A and event B is p(A or B)= p(A)+ p(B)- p(A,B). This is because if we were to add p(A) and p(B), we would be double-counting the probability of the intersection, p(A,B), leading to an overestimation of the total probability. Therefore, D is the best choice.

In General Notation,the Probability of Observing at Least One of Event