Answer
$.5$
Work Step by Step
Since $A$ and $B$ are independent, $P(A\cap B)=P(A)*P(B)=.5*.4=.2$
We know that $P(A|B)=\frac{P(A\cap B)}{P(B)}$
$P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{.2}{.4}=.5$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 7 - Section 7.5 - Conditional Probability and Independence - Exercises - Page 506: 9
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