How do you determine if the outcome of two events is independent?

Question

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

Answer 1

To determine if the outcome of two events \(A\) and \(B\) is independent, you should show that:

A. Show that \( P(A \text{ and } B) = P(A) \cdot P(B) \).

This is the correct criterion for independence of two events. If this equation holds true, then events \(A\) and \(B\) are independent; otherwise, they are dependent.

Options B, C, and D do not correctly define independence.