Question

What is the probability that event B occurs, given that event A has already occurred?

A. \(P(B \cap A) / P(A)\)

B. \(P(A \cap B) / P(B)\)

C. \(P(C \cap B \cap A) / P(A)\)

D. \(P(B \cup A) / P(B)\)

Answer 1

The correct formula for the conditional probability of event B given that event A has occurred is P(B ∩ A) / P(A), which is represented by option A.

Step-by-step explanation:

The question asks about the probability that event B occurs, given that event A has already occurred. This is referred to as the conditional probability of event B given event A, denoted as P(B|A). The formula to calculate P(B|A) is P(B ∩ A) / P(A), assuming that P(A) is greater than zero. Among the given options, option A correctly represents this formula.