JEE Main 2022 — Probability Question with Solution
From: JEE Main 2022 (Online) 25th July Morning Shift
Question
If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of one or two successes is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
If is number of trails, is probability of success and is probability of unsuccess then,
from eq. (i), (ii) and (iii) : and .
Required probability
from eq. (i), (ii) and (iii) : and .
Required probability
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This is a previous-year question from JEE Main 2022, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.