Probability Question 332
Question: If A and B are two events such that $ P(A)\ne 0 $ and $ P(B)\ne 1, $ then $ P( \frac{\overline{A}}{\overline{B}} )= $
Options:
A) $ 1-P( \frac{A}{B} ) $
B) $ 1-P( \frac{\overline{A}}{B} ) $
C) $ \frac{1-P(A\cup B)}{P(\overline{B})} $
D) $ \frac{P(\overline{A})}{P(\overline{B})} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ P( \frac{\overline{A}}{\overline{B}} )=\frac{P(\overline{A}\cap \overline{B})}{P(\overline{B})} $
$ =\frac{P(\overline{A\cup B})}{P(\overline{B})}=\frac{1-P(A\cup B)}{P(\overline{B})} $
BETA
