Probability Question 395
Question: Let A and B be two events. Then $ 1+P(A\cap B)-P(B)-P(A) $ is equal to
Options:
A) $ P(\bar{A}\cup \bar{B}) $
B) $ P(A\cap \bar{B}) $
C) $ P(\bar{A}\cap B) $
D) $ P(\bar{A}\cap \bar{B}) $
Show Answer
Answer:
Correct Answer: D
Solution:
we know $ P(A\cup B)=P(A)+P(B)-P(A\cap B) $
Consider; $ 1+P(A\cap B)-P(B)-P(A) $
$ =-1-P(B)-P(A)+P(A)+P(B)-P(A\cup B) $
$ =1-P(A\cup B) $
BETA
