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JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 24 February 2021, Shift 2, Maths Q79

Question 79 of 90 in this shift, Maths question 19 of 30, Section A.

The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have exactly two elements in their intersection, is :

(1) $\frac{65}{2^7}$
(2) $\frac{65}{2^8}$
(3) $\frac{135}{2^9}$ Official answer
(4) $\frac{35}{2^7}$

Official answer

Option 3

NTA final key.

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.