Probability Question 160

Question: If the events A and B are mutually exclusive, then $ P( \frac{A}{B} )= $

Options:

A) 0

B) 1

C) $ \frac{P(A\cap B)}{P(A)} $

D) $ \frac{P(A\cap B)}{P(B)} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ P( \frac{A}{B} )=\frac{P(A\cap B)}{P(B)} $

Since $ A $ and $ B $ are mutually exclusive. So, $ P(A\cap B)=0 $ .

Hence $ P( \frac{A}{B} )=\frac{0}{P(B)}=0 $ .



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