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Question 42

Mathematics Probability Hard

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>

✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Option is C. Practice regular variations of this Probability concept to build speed and accuracy.

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