Probability Question 202
Question: If $ P(A_1\cup A_2)=1-P(A_1^{c})P(A_2^{c}) $ where c stands for complement, then the events $ A_1 $ and $ A_2 $ are
[MP PET 1989]
Options:
A) Mutually exclusive
B) Independent
C) Equally likely
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ P(A_1\cup A_2)=1-[1-P(A_1)][1-P(A_2)] $
$ =P(A_1)+P(A_2)-P(A_1).P(A_2) $ .
BETA
