Back to Conditional Probability and the Rules of Probability — Problem 2 · Task Set 35

HSS.CP Tutor Intake - Events, Independence, Conditional Probability, and the Rules of Probability

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Grade 11·10 problems·~14 min·Common Core Math - HS Statistics and Probability·domain·cp

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Concepts

Two events $A$ and $B$ each have positive probability. Which statement
correctly distinguishes independent events from mutually exclusive
events?

Independent events can occur together, with $P(A \cap B) = P(A) \cdot P(B)$ ;
mutually exclusive events cannot occur together, with $P(A \cap B) = 0$ .

Independent and mutually exclusive mean the same thing: the events
cannot occur together.

Independent events cannot occur together; mutually exclusive events
can occur together.

Both independent and mutually exclusive events satisfy
$P(A \cap B) = P(A) \cdot P(B)$ .