Question

Event Bis dependent on event A, and event A occurs before event B. Which expression is equal to the probability of event Al

A. P(BNA)PB)
B, PBN)P(BIA)
C. PAB)PAB)
D P(AB)XP(B\A)
E P(AB)XP(B)

Answer 1

The correct expression for the probability of dependent events A and B both occurring is 'D. P(A)P(B|A)' according to the Multiplication Rule of probabilities.

Step-by-step explanation:

The question revolves around the calculation of probabilities when Event B is dependent on Event A, which means the occurrence of Event B is affected by whether Event A has occurred. The correct expression that represents the probability of Event A followed by Event B is given by the Multiplication Rule of probabilities. The Multiplication Rule states that to find the probability of both events A and B occurring (denoted as P(A AND B) or P(AB)), we multiply the probability of A by the probability of B given A, which is expressed as P(A)P(B|A).

Therefore, the correct answer is D. P(A)P(B|A). This expression correctly represents the joint probability of Event A and Event B occurring in succession, where Event B's occurrence depends on Event A.