Which of the following formulas is used to mathematically recognize and explain the conditional probability of event A , given event B

Question

A. P(A|B)=P(A and B)/P(A)
B. P(A|B)=P(A and B)/P(B)
C. P(A and B)=P(A)/P(A and B)
D. P(A and B)=P(A)⋅P(B)

Answer 1

The correct formula for the conditional probability of event A given event B is:

B. P(A|B) = P(A and B) / P(B)

This formula states that the probability of event A occurring given that event B has occurred is equal to the probability of both A and B occurring divided by the probability of B.