Question

Events A and B satisfy the conditions shown P (A)=0.3 P (B)=0.1 P (A and B)=0.03 What statement about the two events must be true? A. If event A occurs, then event B must occur. B. If event A occurs, then event B cannot occur. C. If event A occurs, the probability of event B occurring changes. D. If event A occurs, the probability of event B occurring does not change.

Answer 1

D

Explanation:

P(A)=0.3

P(B)=0.1

P(A)×P(B)=0.3×0.1=0.03

P(A and B)=P(A)×P(B)

They are independent.