\textbf{P(B\textbar A)
e P(B) → A and B not independent}  \textbf{P(B\textbar C) =P(B) → B and C independent}  \textbf{P(A\textbar C)=P(A∩B)/P(C)=0.05/0.1=0.5
e P(A)→ A and C not independent} 
\textbf{Which of the following events are independent?}  \textbf{P(A) = 0.7, P(B) = 0.2, P(C) = 0.1, P(B\textbar A) = 0.5, P(B\textbar C) = 0.2, P(A∩C) = 0.0} 
A. \textbf{A and B only} 
B. \textbf{A and C only} 
C. \textbf{A, B, and C} 
D. \textbf{B and C only} 
E. \textbf{None are independent} 