Statistics And Probability Question 93

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 $ .