Consider two events A and B.Which of the following statements is true?
A)If the probability of A given B is 0.4 and the probability of B is 0.6,then the probability of A is 0.2.
B)If the probability of A given B is 0.4 and the probability of A is 0.4,then events A and B are statistically independent.
C)If the probability of A given B is 0.4 and the probability of the union of A and B is 0.7,then the probability of A is 0.3.
D)If the probability of A given B is 0.6 and the probability of B is 0.4,then the probability of A is 0.2.

Question

Quizplus · Accepted Answer

The definition of statistical independence between two events A and B is that P(A|B) = P(A), where P(A|B) is the probability of A given B, and P(A) is the probability of A. If P(A|B) = 0.4 and P(A) = 0.4, it means that the occurrence of B does not affect the probability of A, indicating that A and B are statistically independent.

Consider Two Events a and B