1.

Suppose that A and B are two events with probabilities \(P(A) =\dfrac{1}{2}, P(B) =\dfrac{1}{3}\). Then which of the following is true?

A. \(\dfrac{1}{3} \le P (A \cap B) \le \dfrac{1}{2}\)
B. \(\dfrac{1}{4} \le P (A \cap B) \le \dfrac{1}{3}\)
C. \(\dfrac{1}{6} \le P (A \cap B) \le \dfrac{1}{3}\)
D. \(\dfrac{1}{4} \le P (A \cap B) \le \dfrac{1}{2}\)
Answer» D. \(\dfrac{1}{4} \le P (A \cap B) \le \dfrac{1}{2}\)


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