There are two events, A and B . How do you mathematically determine whether events A and B are independent?

Question

A. P(A and B)=P(A)+P(B)
B. P(A and B)=P(A)/P(B)
C. P(A and B)=P(A)⋅P(B)
D. P(A and B)=P(A)−P(B)

Answer 1

To determine whether events A and B are independent, you would use the following mathematical criterion:

C. P(A and B) = P(A) ⋅ P(B)

If this equation holds true, then events A and B are considered independent. In contrast, if the equation does not hold, then A and B are dependent events.

This means that the occurrence of one event does not affect the occurrence of the other.