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Saturday, 31 October

JEE Main · Maths · Probability

Bayes' Theorem Application

JEE Main asked Bayes' Theorem Application 9 times in 9 of the 108 shifts Lumi analysed, in 2021, 2022, 2023, 2024, 2025 and 2026. It belongs to Bayes' Theorem, in Probability (Maths). The longest wait between two years asking it was 1 year. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
9
in 9 shifts
Years
6 of 8
First asked
2021
last in 2026
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022, 2023, 2024, 2025 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.03’210.04’220.07’230.19’240.13’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 1 in 24 shifts · 2023: 1 in 12 shifts · 2024: 4 in 18 shifts · 2025: 1 in 8 shifts · 2026: 1 in 9 shifts.

Shift by shift

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

  • 20261 of 9
  • 20251 of 8
  • 20244 of 18
  • 20231 of 12
  • 20221 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.

  • Posterior probability by bayes theorem
  • Posterior probability of bag from drawn colour

Difficulty

Easy 7Medium 2Hard 0

Every question was multiple choice.

Every question

All 9 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 2026, Shift 2 · Q6A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the…EasySingle correct
  2. 2 Apr 2025, Shift 2 · Q9Given three indentical bags each containing 10 balls, whose colours are as follows : Bag I: Red 3, Blue 2, Green 5 Bag II: Red 4, Blue 3,…EasySingle correctHas a figure
  3. 30 Jan 2024, Shift 2 · Q20Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn from it.…EasySingle correct
  4. 8 Apr 2024, Shift 2 · Q19There are three bags X, Y and Z. Bag X contains 5 one-rupee coins and 4 five-rupee coins; Bag Y contains 4 one-rupee coins and 5…EasySingle correct
  5. 6 Apr 2024, Shift 1 · Q20A company has two plants AA and BB to manufacture motorcycles. 60%60\% motorcycles are manufactured at plant AA and the remaining are…EasySingle correct
  6. 4 Apr 2024, Shift 1 · Q19Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the urn is selected at random…EasySingle correct
  7. 8 Apr 2023, Shift 1 · Q18In a bolt factory, machines AA, BB and CC manufacture respectively 20%, 30% and 50% of the total bolts. Of their output 3, 4 and 2…EasySingle correct
  8. 24 Jun 2022, Shift 1 · Q4Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2…MediumSingle correct
  9. 25 Feb 2021, Shift 2 · Q75In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and…MediumSingle correct

Shifts: 25 Feb 2021, Shift 2, 24 Jun 2022, Shift 1, 8 Apr 2023, Shift 1, 30 Jan 2024, Shift 2, 4 Apr 2024, Shift 1, 6 Apr 2024, Shift 1, 8 Apr 2024, Shift 2, 2 Apr 2025, Shift 2, 8 Apr 2026, Shift 2.

Same topic

Other ideas in Bayes' Theorem

Bayes' Theorem has 6 ideas JEE Main has asked; 3 of them came up in more than one question.