Probability Question 195
Question: If $ P(A\cup B)=0.8 $ and $ P(A\cap B)=0.3, $ then $ P(\bar{A})+P(\bar{B})= $
[EAMCET 2003]
Options:
A) 0.3
B) 0.5
C) 0.7
D) 0.9
Show Answer
Answer:
Correct Answer: D
Solution:
$P(A∪B)=P(A)+P(B)−P(A∩B)$
$⇒P(A)+P(B)=0.8+0.3=1.1$
And P $ (\bar A)$ + P $(\bar B)$= $1−P(A)+1−P(B)=2−1.1=0.9$