Learn

Saturday, 31 October

JEE Main · Maths · Probability

Independence Criterion

JEE Main asked Independence Criterion 5 times in 5 of the 108 shifts Lumi analysed, in 2021, 2022 and 2024. It belongs to Conditional Probability, in Probability (Maths). The longest wait between two years asking it was 2 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
5
in 5 shifts
Years
3 of 8
First asked
2021
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.10’210.04’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 3 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20230 of 12
  • 20221 of 24
  • 20213 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: application.

  • Probability of ordered draws with replacement
  • Independence check from conditional probabilities

Difficulty

Easy 2Medium 1Hard 2

2 of the 5 questions had a numerical answer.

Every question

All 5 questions

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

  1. 31 Jan 2024, Shift 1 · Q19Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made…EasySingle correct
  2. 25 Jun 2022, Shift 1 · Q10Let E1E_1 and E2E_2 be two events such that the conditional probabilities P(E1∣E2)=12P(E_1|E_2)=\frac{1}{2}, P(E2∣E1)=34P(E_2|E_1)=\frac{3}{4} and…MediumSingle correct
  3. 17 Mar 2021, Shift 1 · Q88Let there be three independent events E1E_1, E2E_2 and E3E_3. The probability that only E1E_1 occurs is α\alpha, only E2E_2 occurs is…HardNumerical value
  4. 24 Feb 2021, Shift 1 · Q82Let BiB_i (i=1,2,3i = 1, 2, 3) be three independent events in a sample space. The probability that only B1B_1 occur is α\alpha, only B2B_2…HardNumerical value
  5. 4 Aug 2021, Shift 1 · Q77Four persons work independtly of each other on a task. If the probabilities that they will complete the task are :…EasySingle correct

Shifts: 24 Feb 2021, Shift 1, 17 Mar 2021, Shift 1, 4 Aug 2021, Shift 1, 25 Jun 2022, Shift 1, 31 Jan 2024, Shift 1.

Same topic

Other ideas in Conditional Probability

Conditional Probability has 18 ideas JEE Main has asked; 5 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas