Answer:
Option A.
Step-by-step explanation:
Let A represents have soup and B represents having salad for lunch.
If two events are not dependent on each other, then they are known as independent events.
Probability of having soup is not dependent on Probability of having salad.
[tex]P(A\cap B)=P(A)P(B)[/tex]
Using the formula of conditional probability, we get
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}\Rightarrow \frac{P(A)P(B)}{P(B)}=P(A)[/tex]
[tex]P(B|A)=\frac{P(A\cap B)}{P(A)}\Rightarrow \frac{P(A)P(B)}{P(A)}=P(B)[/tex]
Having soup or salad for the lunch are two independent event because [tex]P(A|B)=P(A)[/tex] and [tex]P(B|A)=P(B)[/tex].
Therefore, the correct option is A.
