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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 July 2022, Shift 1, Maths Q16

Question 16 of 90 in this shift, Maths question 16 of 30, Section A.

The mean and variance of a binomial distribution are α\alpha and α3\frac{\alpha}{3} respectively. If P(X=1)=4243\mathrm{P}(\mathrm{X} = 1) = \frac{4}{243}, then P(X=4 or 5)\mathrm{P}(\mathrm{X} = 4 \text{ or } 5) is equal to :
  1. (1)59\frac{5}{9}
  2. (2)6481\frac{64}{81}
  3. (3)1627\frac{16}{27}Official answer
  4. (4)145243\frac{145}{243}

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.