Answer to Question #208958 in Statistics and Probability for mimi

Question

If A and B are independent events with P.A/ D 0:35 and P.B/ D 0:55, then P.AjB/ is 0:35=0:55 D

0:64:

Answer 1

If $A$ and $B$ are independent events, then

$$P(A\cap B)=P(A)P(B)$$

Hence

$$P(A|B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{P(A)P(B)}{P(B)}=P(A)$$

$$P(A|B)=0.35$$