Question

If A and B are independent events with P(A) = .05 and P(B) = .65, then P(A | B ) = _____. a..8b..0325c..65d..05

Answer 1

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

`P(A\cap B)=P(A)* P(B)`

Hence,

`P(A|B)=(P(A)* P(B))/(P(B))`

which gives,

`\begin{gathered} P(A|B)=P(A) \\ =0.05 \end{gathered}`

Final Answer: Option D is correct.