Die roll independence

Testing independence of events in probability

This is a foundational probability question that appears frequently in interviews because it tests whether a candidate understands the formal definition of independence—a concept that is often confused with mutual exclusivity or intuition about unrelated events.

To solve problems like this, you need to compute the probabilities of individual events and their intersection, then check whether they satisfy the independence criterion. The question rewards clarity on what independence actually means mathematically, separate from colloquial notions of "unrelated" outcomes.

• Probability of individual events from a sample space
• Intersection and joint probability
• The definition of independence: P(A and B) = P(A) × P(B)
• Distinguishing independence from disjointness