Statistics And Probability Question 279
Question: If $ P(A)=0.4,P(B)=x,P(A\cup B)=0.7 $ and the events A and B are mutually exclusive, then $ x= $
[MP PET 1992]
Options:
A) $ \frac{3}{10} $
B) $ \frac{1}{2} $
C) $ \frac{2}{5} $
D) $ \frac{1}{5} $
Show Answer
Answer:
Correct Answer: A
Solution:
- Since events are mutually exclusive, therefore $ P(AB)=0 $ i.e., $ P(A\cup B)=P(A)+P(B) $
$ \Rightarrow 0.7=0.4+x\Rightarrow x=\frac{3}{10}. $
BETA
