Maths-
General
Easy
Question
If A and B are two events such that
and
then A and B are
- dependent events
- independent events
- mutually exclusive events
- mutually exclusive and independent events
Hint:
In this question we have to find what A and B events are if A and B are two events such that
and
.A and B are two events associated with the same random experiment, then A and B are known as independent events if P (A ∩ B) = P(B) .P(A), dependent events if P(A∩B) = P(A).P(B/A) or P(A∩B) = P(B).P(A/B) and mutually exclusive if P (A ∩ B) =0.
The correct answer is: independent events
As
and 
P(B)=P (AUB)- P(A) +P (A ∩ B) =
As P(A). P(B)=
So, A and B are independent events.
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