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? 

1
\(\dfrac{1}{3} \le P (A \cap B) \le \dfrac{1}{2}\)
2
\(\dfrac{1}{4} \le P (A \cap B) \le \dfrac{1}{3}\)
3
\(\dfrac{1}{6} \le P (A \cap B) \le \dfrac{1}{3}\)
4
\(\dfrac{1}{4} \le P (A \cap B) \le \dfrac{1}{2}\)

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