JEE Main 2022MathematicsProbabilityProbability Distribution Of A Random VariablemediumMCQ

JEE Main 2022 — Probability Question with Solution

From: JEE Main 2022 (Online) 27th July Evening Shift

Question

A six faced die is biased such that

a prime numbera composite number.

Let X be a random variable that counts the number of times one gets a perfect square on some throws of this die. If the die is thrown twice, then the mean of X is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D

Step-by-step explanation

Let P(a prime number) =

P(a composite number) =

and P(1) =

(say)

and

Mean = np where n = 2

and p = probability of getting perfect square

So, mean

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About this question

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.