A random variable $X$ has the following probability distribution: | $X$ | 0 | 1 | 2 | 3 | 4 | | $P(X)$ | $k$ | $2k$ | $4k$ | $6k$ | $8k$ | The value of $P(1 < X < 4 \mid X \leq 2)$ is equal to :

JEE Main 2022 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 24 June 2022, Shift 2, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

A random variable

X

has the following probability distribution:

$X$	0	1	2	3	4
$P(X)$	$k$	$2k$	$4k$	$6k$	$8k$

The value of

P(1 < X < 4 \mid X \leq 2)

is equal to :

(1) $\frac{4}{7}$ Official answer
(2) $\frac{2}{3}$
(3) $\frac{3}{7}$
(4) $\frac{4}{5}$

Official answer

Option 1

NTA final key.

Chapter: Probability
Topic: Conditional Probability
Idea tested: Conditional Probability Definition

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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.