Given: A and B are independent events with P(A) = 0.05 and P(B) =0 .65.
Required: To find P(A | B).
Explanation: For independent events A and B we have
[tex]P(A\cap B)=P(A)\times P(B)[/tex]Hence,
[tex]P(A|B)=\frac{P(A)\times P(B)}{P(B)}[/tex]which gives,
[tex]\begin{gathered} P(A|B)=P(A) \\ =0.05 \end{gathered}[/tex]Final Answer: Option D is correct.
