Back to Understand independence via the product rule — Problem 2 · Task Set 19

Exercises: Understand Independence Through the Product Rule

Work through each section in order. For independence tests, compute $P(A)$, $P(B)$, and $P(A \text{ and } B)$, then compare $P(A \text{ and } B)$ to the product $P(A) \cdot P(B)$. For explanation problems, write in complete sentences.

Grade 10·21 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-cp-a-2

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Warm-Up: Probability Foundations

These problems review skills you already know.

Which statement about the word "independent" in probability is correct?

Independence is a relationship between two events: $A$ is independent of $B$ .

Independence is a property a single event has on its own.

An event is independent whenever its probability is greater than $0.5$ .

Independence only describes events from two separate experiments.