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Saturday, 31 October

JEE Main · Maths · Probability

AGP in Expected Value Scenarios

JEE Main asked AGP in Expected Value Scenarios 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2023. It belongs to Arithmetico-Geometric Series, in Probability (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20240 of 18
  • 20231 of 12
  • 20220 of 24
  • 20211 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: calculation.

  • Find constant and tail probability of discrete distribution
  • Mean of discrete probability distribution

Difficulty

Easy 0Medium 2Hard 0

Every question was multiple choice.

Every question

All 2 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 8 Apr 2023, Shift 2 · Q17If the probability that the random variable XX takes values xx is given by P(X=x)=k(x+1)3−xP(X = x) = k(x + 1)3^{-x}, x=0,1,2,3,…x = 0, 1, 2, 3, \ldots, where…MediumSingle correct
  2. 25 Jul 2021, Shift 2 · Q70Let X be a random variable such that the probability function of a distribution is given by P(X=0)=12P(X=0)=\frac{1}{2}, P(X=j)=13jP(X=j)=\frac{1}{3^j}…MediumSingle correct

Shifts: 25 Jul 2021, Shift 2, 8 Apr 2023, Shift 2.

Same topic

Other ideas in Arithmetico-Geometric Series

Arithmetico-Geometric Series has 9 ideas JEE Main has asked; 6 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas