Probability Question 252
Question: If A and B are two independent events, then $ P(A+B)= $
[MP PET 1992]
Options:
A) $ P(A)+P(B)-P(A)P(B) $
B) $ P(A)-P(B) $
C) $ P(A)+P(B) $
D) $ P(A)+P(B)+P(A)P(B) $
Show Answer
Answer:
Correct Answer: A
Solution:
$P(A′∩B′)=(1−P(A))(1−P(B))$
Two events A & B will be independent if $P(A∩B)=P(A)∩P(B)$
If A & B are independent, then $A′$& $B′$ are also independent
$∴P(A′∩B′)=P(A′)P(B′)=(1−P(A))(1−P(B))$
BETA
