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Friday, 9 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 6 April 2024, Shift 2, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable XX denote the number of defective items in the sample. Let items in the sample be drawn one by one without replacement. If variance of XX is mn\frac{m}{n}, where gcd⁡(m,n)=1\gcd(m,n)=1, then n−mn-m is equal to ________.

Official answer

71

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 42 of the 174 JEE Main shifts held from 2017 to 2026.