Suppose that A and B are two events with probabilities <span class="math-tex">\(P(A) =\dfrac{1}{2}, P(B) =\dfrac{1}{3}\)</span>. Then which of the following is true?
(A) <span class="math-tex">\(\dfrac{1}{3} \le P (A \cap B) \le \dfrac{1}{2}\)</span>
(B) <span class="math-tex">\(\dfrac{1}{4} \le P (A \cap B) \le \dfrac{1}{3}\)</span>
(C) <span class="math-tex">\(\dfrac{1}{6} \le P (A \cap B) \le \dfrac{1}{3}\)</span>
(D) <span class="math-tex">\(\dfrac{1}{4} \le P (A \cap B) \le \dfrac{1}{2}\)</span>