The test result B has no value in predicting outcome A if:
A) Pr(A$\mid$B) = 1.
B) Pr(A&B) = Pr(A)Pr(B).
C) Pr(A$\mid$B) = Pr(B$\mid$A).
D) Pr(A) Pr(A$\mid$B).
E) Pr(A$\mid$B) = 0.

Question

The test result B has no value in predicting outcome A if:
A) Pr(A$\mid$B) = 1.
B) Pr(A&B) = Pr(A)Pr(B).
C) Pr(A$\mid$B) = Pr(B$\mid$A).
D) Pr(A) > Pr(A$\mid$B).
E) Pr(A$\mid$B) = 0.

Quizplus · Accepted Answer

Choice B represents the definition of statistical independence between events A and B, meaning the occurrence of B does not affect the probability of A happening, thus having no predictive value for A.

The Test Result B Has No Value in Predicting Outcome ∣\mid∣

The Test Result B Has No Value in Predicting Outcome $\mid$