Suppose that A and B are two events with... - Solved | MCA Prep

\(P(A) = 1..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> \(P(A) = 1..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> \(P(A) = 1..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

Home Rankers PYQ Blogs Pricing About Contact

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.

← Previous Question Our Rankers Next Question →

Practice Similar Probability Questions

Reinforce your conceptual grasp with related questions from NIMCET 2015:

Q19 If a fair dice is rolled successively, then the probability that 1 appears...

Q28 Out of 2n + 1 tickets, which are consecutively numbered, three are drawn...

Q40 A is targeting B, B and C are targeting A. Probability of hitting the...

Q1 Let \( a\) and

Q2 If \(A = [ * 20 c a&b&c\\...

Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →