JEE Main · Maths · Class 12
Probability: JEE Main previous year questions
133 questions in 106 of the 108 JEE Main shifts Lumi analysed, asked in 8 of 8 years. Here is what this chapter tests and how.
- Questions
- 133
- in 106 of 108 shifts · 8 of 8 years
- Average a shift
- 1.2
- of 25 Maths · 1.0 since 2024 -0.3
- Typical range
- 1.0–1.2
- questions a shift; fewest 0.8, most 2.6
- Weighted estimate
- 1.1
- model, recent years count more · about 4.4 marks
- Typical range (fact)
- Average a shift (fact)
- Weighted estimate (model)
Questions are counted per shift, out of the 25 each subject has, in the shifts Lumi analysed; papers that offered 30 a subject (2017, 2021–2024) are scaled to 25. Typical range: the middle six of the eight years (2017, 2020–2026), leaving out the single highest and lowest year. The average and the range are historical fact. The weighted estimate is a model: each year's share, with recent years counting more (half-life three years), and chapters NTA dropped from the syllabus set near zero. It is a guide to effort, not a forecast of the paper.
What to do
How to spend time on Probability
Priority
One of the 8 Maths chapters that together held the first half of Maths questions in the 108 shifts analysed. How bands are set
- Past questions
- 133in 106 of 108 shifts
- Study plan gives it
- 20 hover 12 months; 15 h over 6
Ideas asked most often
- Bayes' Theorem Application9×
- Independence Criterion5×
- Conditional Probability Definition5×
- Theorem of Total Probability3×
- Conditional Probability in Infinite Games3×
87 of the 116 ideas in Lumi’s map of this chapter have not been asked or touched in the shifts analysed. Of its idea-tagged questions from 2024 on, 41% tested an idea not asked in an earlier year, so learn the whole chapter, not just the list above.
Within each subject, chapters in NTA's 2026 syllabus are ranked by their average questions a shift over all 8 years analysed (history, not the model). Going down that list, the chapters that together held the first half of the subject's questions are Must do; the next ones, up to 80%, are Should do; the rest are Lower priority.
Key findings
Probability at a glance
- 01
59%
of its 22 questions from 2024 on that Lumi matched to an idea tested one JEE Main had asked in an earlier year; 100% came from a topic asked in an earlier year.
- 02
75%
of the 116 ideas in Lumi's map of the chapter have not been asked or touched on in the shifts analysed.
- 03
22%
of its questions asked for a numerical answer, 0.7 times the Maths average.
- 04
16%
of its questions were rated hard, against 26% across all Maths questions in the same shifts.
Questions a shift, year by year
Out of the 25 Maths questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.
Raw count: 2017: 3 in 1 shift · 2020: 13 in 12 shifts · 2021: 30 in 24 shifts · 2022: 34 in 24 shifts · 2023: 12 in 12 shifts · 2024: 24 in 18 shifts · 2025: 8 in 8 shifts · 2026: 9 in 9 shifts.
Kind of question
SHARE OF QUESTIONS- Multi-step36%
- Calculation28%
- Numerical answer22%
- Application14%
- Two statements1%
Most common asks: probability of tosses until first success (2); probability of heads in repeated coin tosses (2); probability of dice sum with biased die (2).
Profile
This chapter in numbers
Where it ranks, how steady it is, and what it costs to study.
- Rank, all JEE chapters
- #33
- of 70 by weighted estimate
- Rank in Maths
- #11
- of 21 chapters
- Share of Maths
- 4.9%
- of its questions, all shifts analysed
- Busiest year
- 2017
- 2.6 questions a shift
- Year to year
- Some swing
- varies by about 0.5 questions a shift
- Long-run direction
- -0.14
- questions a shift, per year
- Easy questions
- 23%
- 16% rated hard
- Numerical answer
- 22%
- 0.7× the Maths rate
- With a figure
- 2%
- graph, diagram or structure
- Study time
- 20 h
- 15 h on a 6-month plan
- Marks per study hour
- 0.22
- #52 of 70 chapters
- Foundation for others
- 78%
- of its ideas are used in other chapters
Difficulty, year by year
Each question rated easy, medium or hard. Each bar is that year’s split, so years compare directly; the number is the questions in that year’s analysed shifts (1 to 24 shifts a year).
- 20173
- 202013
- 202130
- 202234
- 202312
- 202424
- 20258
- 20269
- Easy
- Medium
- Hard
What it asks you to do
SHARE OF QUESTIONS- Multi-step50%
- Calculation37%
- Application14%
Coverage
How much of the chapter JEE Main has used
We split the chapter into 116 ideas. In the 108 shifts analysed, JEE Main built a question around 24 of them. Most of the chapter has never been the main idea of a question, so past questions alone leave most of it out.
- Asked as the main idea
- 24
- Touched on in a question
- 5
- Never asked
- 87
Topics
What repeats, topic by topic
This chapter's questions per topic in each year's analysed shifts. The number is the count; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. 71 questions had no close topic in Lumi's map and count for the chapter only.
- Conditional Probability · Asked most years3051152313
- Bayes' Theorem · Asked most years171222532
- Permutations and Combinations · Asked most years6132
- Arithmetico-Geometric Series · Asked most years3111
- Quadratic Roots · Asked most years211
- Variance and SD · Asked most years22
- AP and GP · Asked most years11
- Sets and Relations · Asked most years11
| Topic | 2017 | ’20 | 2021 | ’22 | 2023 | ’24 | 2025 | ’26 | Total |
|---|---|---|---|---|---|---|---|---|---|
| Conditional ProbabilityAsked most years | · | 5 | 11 | 5 | 2 | 3 | 1 | 3 | 30 |
| Bayes' TheoremAsked most years | · | 1 | 2 | 2 | 2 | 5 | 3 | 2 | 17 |
| Permutations and CombinationsAsked most years | · | 1 | 3 | 2 | · | · | · | · | 6 |
| Arithmetico-Geometric SeriesAsked most years | · | · | 1 | · | 1 | · | 1 | · | 3 |
| Quadratic RootsAsked most years | · | · | 1 | · | · | · | · | 1 | 2 |
| Variance and SDAsked most years | · | · | · | · | · | 2 | · | · | 2 |
| AP and GPAsked most years | · | · | · | · | · | · | 1 | · | 1 |
| Sets and RelationsAsked most years | · | · | · | 1 | · | · | · | · | 1 |
- Conditional Probability
As a topic: 30 questions in 7 of 8 years, most often single correct, 23% numerical answer.
- Bayes' Theorem
As a topic: 17 questions in 7 of 8 years, most often single correct, 6% numerical answer.
- Permutations and Combinations
As a topic: 137 questions in 8 of 8 years, most often numerical value, 52% numerical answer. Recent asks: distribute objects with no empty box; count words with letter-type restrictions; count distributions of people to floors.
- Arithmetico-Geometric Series
As a topic: 22 questions in 6 of 8 years, most often single correct, 50% numerical answer.
Drill down
Topic, idea, question
Open a topic to see every idea JEE Main tested inside it, then open an idea to read the questions. Each row shows its 8 years.
18 ideas inside
- 2 Apr ’26 S2 · Q8A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he throws. If the probability…
mediumSingle correct
- 4 Apr ’26 S1 · Q21A coin is tossed times. If the probability that exactly heads appear in the first six tosses and exactly heads appear in the…
hardNumerical value
- 4 Apr ’26 S2 · Q21From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal…
mediumNumerical value
- 2 Apr ’25 S1 · Q25Three distinct numbers are selected randomly from the set . If the probability, that the selected numbers are in…
hardNumerical value
- 7 Apr ’25 S2 · Q9Let a random variable take values with , and . Then the value of is :
mediumSingle correct
- 4 Apr ’24 S2 · Q19If the mean of the following probability distribution of a radam variable X: X: 0, 2, 4, 6, 8 P(X): , , , , is…
mediumSingle correct
- 4 Apr ’24 S2 · Q30In a tournament, a team plays 10 matches with probabilities of winning and losing each match as and …
hardNumerical value
- 5 Apr ’24 S1 · Q19The coefficients in the quadratic equation are chosen from the set . The probability of this…
mediumSingle correct
- 5 Apr ’24 S1 · Q30From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable X denote the…
mediumNumerical value
- 5 Apr ’24 S2 · Q7The coefficients in the quadratic equation are from the set . If the probability of this…
mediumSingle correct
- 6 Apr ’24 S2 · Q20If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly…
easySingle correct
- 6 Apr ’24 S2 · Q29From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable denote the number of…
hardNumerical value
- 8 Apr ’24 S1 · Q19Let the sum of two positive integers be 24. If the probability, that their product is not less than times their greatest…
mediumSingle correct
- 8 Apr ’24 S1 · Q30Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables and respectively denote…
mediumNumerical value
- 9 Apr ’24 S1 · Q30Read the question
mediumNumerical value
- 9 Apr ’24 S2 · Q20Read the question
mediumSingle correct
- 1 Feb ’24 S2 · Q18Read the question
easySingle correct
- 30 Jan ’24 S1 · Q5Read the question
mediumSingle correct
- 31 Jan ’24 S2 · Q19Read the question
easySingle correct
- 6 Apr ’23 S1 · Q18Read the question
mediumSingle correct
- 6 Apr ’23 S2 · Q19Read the question
easySingle correct
- 10 Apr ’23 S1 · Q18Read the question
easySingle correct
- 10 Apr ’23 S2 · Q18Read the question
mediumSingle correct
- 11 Apr ’23 S1 · Q17Read the question
hardSingle correct
- 13 Apr ’23 S1 · Q18Read the question
mediumSingle correct
- 13 Apr ’23 S2 · Q19Read the question
mediumSingle correct
- 25 Jul ’22 S1 · Q16Read the question
mediumSingle correct
- 25 Jul ’22 S1 · Q17Read the question
mediumSingle correct
- 26 Jul ’22 S1 · Q16Read the question
mediumSingle correct
- 26 Jul ’22 S1 · Q17Read the question
mediumSingle correct
- 26 Jul ’22 S2 · Q18Read the question
mediumSingle correct
- 27 Jul ’22 S1 · Q14Read the question
mediumSingle correct
- 27 Jul ’22 S2 · Q16Read the question
mediumSingle correct
- 27 Jul ’22 S2 · Q17Read the question
mediumSingle correct
- 28 Jul ’22 S2 · Q89Read the question
mediumNumerical value
- 29 Jul ’22 S1 · Q19Read the question
mediumSingle correct
- 29 Jul ’22 S2 · Q21Read the question
mediumNumerical value
- 30 Jul ’22 S2 · Q89Read the question
mediumNumerical value
- 24 Jun ’22 S1 · Q17Read the question
mediumSingle correct
- 24 Jun ’22 S2 · Q28Read the question
hardNumerical value
- 25 Jun ’22 S2 · Q16Read the question
hardSingle correct
- 26 Jun ’22 S1 · Q17Read the question
mediumSingle correct
- 26 Jun ’22 S2 · Q30Read the question
hardNumerical value
- 27 Jun ’22 S1 · Q17Read the question
mediumSingle correct
- 27 Jun ’22 S2 · Q17Read the question
mediumSingle correct
- 27 Jun ’22 S2 · Q30Read the question
hardNumerical value
- 28 Jun ’22 S1 · Q18Read the question
mediumSingle correct
- 29 Jun ’22 S1 · Q1Read the question
hardSingle correct
- 30 Jun ’22 S1 · Q18Read the question
easySingle correct
- 30 Jun ’22 S1 · Q29Read the question
mediumNumerical value
- 4 Aug ’21 S2 · Q65Read the question
mediumSingle correct
- 26 Aug ’21 S1 · Q79Read the question
mediumSingle correct
- 27 Aug ’21 S2 · Q78Read the question
easySingle correct
- 24 Feb ’21 S1 · Q78Read the question
mediumSingle correct
- 24 Feb ’21 S2 · Q79Read the question
hardSingle correct
- 26 Feb ’21 S1 · Q75Read the question
easySingle correct
- 22 Jul ’21 S2 · Q73Read the question
hardSingle correct
- 25 Jul ’21 S1 · Q74Read the question
mediumSingle correct
- 25 Jul ’21 S2 · Q85Read the question
easyNumerical value
- 16 Mar ’21 S2 · Q67Read the question
mediumSingle correct
- 17 Mar ’21 S1 · Q79Read the question
easySingle correct
- 18 Mar ’21 S2 · Q65Read the question
mediumSingle correct
- 9 Jan ’20 S1 · Q67Read the question
mediumSingle correct
- 9 Jan ’20 S2 · Q67Read the question
easySingle correct
- 3 Sep ’20 S2 · Q68Read the question
hardSingle correct
- 4 Sep ’20 S1 · Q75Read the question
easyNumerical value
- 5 Sep ’20 S1 · Q75Read the question
mediumNumerical value
- 6 Sep ’20 S2 · Q68Read the question
hardSingle correct
- 2017 · Q85Read the question
easySingle correct
- 2017 · Q86Read the question
hardSingle correct
- 2017 · Q87Read the question
mediumSingle correct
Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.
Ideas
The exact ideas JEE Main has asked
Inside the topics, 27 different ideas were tested; 10 came more than once. These are the repeats, then the ideas new since 2024.
posterior probability by bayes theorem
probability of ordered draws with replacement
probability from percentage data
total probability with biased coin
probability of event in even-numbered trial
probability of quadratic positivity condition
probability of composition given sample drawn
find constant and tail probability of discrete distribution
probability of pattern in binary string
conditional probability for two dice throws
bayes with partial word evidence
probability of paired draws without replacement
total probability over two cases
probability coin was fair given head
conditional probability given union with complement
find n from posterior of lost card
probability of tosses until first success
variance of random variable from draw
Dots are the 8 years with analysed shifts, 2017 to 2026.
Every question
All 133 Probability questions
Newest first, shift by shift. The newest 40 show their opening words; older ones name the idea they tested. Each opens with its options and the official answer.
JEE Main 20269 questions
- 2 Apr 2026, Shift 1 · Q23Let . If the probability, that for all , is ,…MediumNumerical value
- 2 Apr 2026, Shift 2 · Q8A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he throws. If the probability…MediumSingle correct
- 4 Apr 2026, Shift 1 · Q21A coin is tossed times. If the probability that exactly heads appear in the first six tosses and exactly heads appear in the…HardNumerical value
- 4 Apr 2026, Shift 2 · Q21From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal…MediumNumerical value
- 5 Apr 2026, Shift 1 · Q7A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are…MediumSingle correct
- 5 Apr 2026, Shift 2 · Q8The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively. If A is…EasySingle correct
- 6 Apr 2026, Shift 1 · Q10A bag contains coins N fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed.…EasySingle correct
- 6 Apr 2026, Shift 2 · Q9A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each…MediumSingle correct
- 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
JEE Main 20258 questions
- 2 Apr 2025, Shift 1 · Q25Three distinct numbers are selected randomly from the set . If the probability, that the selected numbers are in…HardNumerical value
- 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 Apr 2025, Shift 1 · Q22All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the…HardNumerical value
- 3 Apr 2025, Shift 2 · Q8If the probability that the random variable takes the value is given by , where…MediumSingle correct
- 4 Apr 2025, Shift 2 · Q23A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades. If the probability of…MediumNumerical value
- 7 Apr 2025, Shift 2 · Q9Let a random variable take values with , and . Then the value of is :MediumSingle correct
- 7 Apr 2025, Shift 2 · Q10A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up. If the…MediumSingle correct
- 8 Apr 2025, Shift 2 · Q9If and are two events such that , and , where denotes the…MediumSingle correct
JEE Main 202424 questions
- 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
- 4 Apr 2024, Shift 2 · Q19If the mean of the following probability distribution of a radam variable X: X: 0, 2, 4, 6, 8 P(X): , , , , is…MediumSingle correct
- 4 Apr 2024, Shift 2 · Q30In a tournament, a team plays 10 matches with probabilities of winning and losing each match as and …HardNumerical value
- 5 Apr 2024, Shift 1 · Q19The coefficients in the quadratic equation are chosen from the set . The probability of this…MediumSingle correct
- 5 Apr 2024, Shift 1 · Q30From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable X denote the…MediumNumerical value
- 5 Apr 2024, Shift 2 · Q7The coefficients in the quadratic equation are from the set . If the probability of this…MediumSingle correct
- 5 Apr 2024, Shift 2 · Q29Let the mean and the standard deviation of the probability distribution | X | | 1 | 0 | | |---|---|---|---|---| | P(X) |…MediumNumerical valueHas a figure
- 6 Apr 2024, Shift 1 · Q20A company has two plants and to manufacture motorcycles. motorcycles are manufactured at plant and the remaining are…EasySingle correct
- 6 Apr 2024, Shift 2 · Q20If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly…EasySingle correct
- 6 Apr 2024, Shift 2 · Q29From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable denote the number of…HardNumerical value
- 8 Apr 2024, Shift 1 · Q19Let the sum of two positive integers be 24. If the probability, that their product is not less than times their greatest…MediumSingle correct
- 8 Apr 2024, Shift 1 · Q30Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables and respectively denote…MediumNumerical value
- 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
- 9 Apr 2024, Shift 1 · Q30Let a, b and c denote the outcome of three independent rolls of a fair tetrahedral die, whose four faces are marked . If the…MediumNumerical value
- 9 Apr 2024, Shift 2 · Q20If an unbiased dice is rolled thrice, then the probability of getting a greater number in the roll than the number…MediumSingle correct
- 1 Feb 2024, Shift 1 · Q17A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found that 2…MediumSingle correct
- 1 Feb 2024, Shift 2 · Q18Let Ajay will not appear in JEE exam with probability , while both Ajay and Vijay will appear in the exam with probability…EasySingle correct
- 27 Jan 2024, Shift 1 · Q29A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required and let , and…MediumNumerical value
- 29 Jan 2024, Shift 1 · Q19A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, isMediumSingle correct
- 30 Jan 2024, Shift 1 · Q5Two integers and are chosen with replacement from the set . Then the probability that , is :MediumSingle correct
- 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
- 31 Jan 2024, Shift 1 · Q17Three rotten apples are accidentally mixed with fifteen good apples. Assuming the random variable to be the number of rotten apples in…MediumSingle correct
- 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
- 31 Jan 2024, Shift 2 · Q19Open the question · Easy · Single correct
JEE Main 202312 questions
- 6 Apr 2023, Shift 1 · Q18Open the question · Medium · Single correct
- 6 Apr 2023, Shift 2 · Q19Open the question · Easy · Single correct
- 8 Apr 2023, Shift 1 · Q18Bayes' Theorem Application · Easy · Single correct
- 8 Apr 2023, Shift 2 · Q17AGP in Expected Value Scenarios · Medium · Single correct
- 10 Apr 2023, Shift 1 · Q18Open the question · Easy · Single correct
- 10 Apr 2023, Shift 2 · Q18Open the question · Medium · Single correct
- 11 Apr 2023, Shift 1 · Q17Open the question · Hard · Single correct
- 11 Apr 2023, Shift 2 · Q30Conditional Probability in Infinite Games · Hard · Numerical value
- 12 Apr 2023, Shift 1 · Q30Conditional Probability in Infinite Games · Medium · Numerical value
- 13 Apr 2023, Shift 1 · Q18Open the question · Medium · Single correct
- 13 Apr 2023, Shift 2 · Q19Open the question · Medium · Single correct
- 15 Apr 2023, Shift 1 · Q18Theorem of Total Probability · Medium · Single correct
JEE Main 202234 questions
- 25 Jul 2022, Shift 1 · Q16Open the question · Medium · Single correct
- 25 Jul 2022, Shift 1 · Q17Open the question · Medium · Single correct
- 25 Jul 2022, Shift 2 · Q8Conditional Probability Definition · Easy · Single correct
- 26 Jul 2022, Shift 1 · Q16Open the question · Medium · Single correct
- 26 Jul 2022, Shift 1 · Q17Open the question · Medium · Single correct
- 26 Jul 2022, Shift 2 · Q18Open the question · Medium · Single correct
- 27 Jul 2022, Shift 1 · Q14Open the question · Medium · Single correct
- 27 Jul 2022, Shift 2 · Q16Open the question · Medium · Single correct
- 27 Jul 2022, Shift 2 · Q17Open the question · Medium · Single correct
- 28 Jul 2022, Shift 1 · Q9Conditional Probability Definition · Easy · Single correct
- 28 Jul 2022, Shift 2 · Q79Conditional Probability with De Morgan's Laws · Medium · Two statements
- 28 Jul 2022, Shift 2 · Q89Open the question · Medium · Numerical value
- 29 Jul 2022, Shift 1 · Q19Open the question · Medium · Single correct
- 29 Jul 2022, Shift 2 · Q16Urn and Ball Transfer Problems · Medium · Single correct
- 29 Jul 2022, Shift 2 · Q21Open the question · Medium · Numerical value
- 30 Jul 2022, Shift 2 · Q89Open the question · Medium · Numerical value
- 24 Jun 2022, Shift 1 · Q4Bayes' Theorem Application · Medium · Single correct
- 24 Jun 2022, Shift 1 · Q17Open the question · Medium · Single correct
- 24 Jun 2022, Shift 2 · Q12Conditional Probability Definition · Easy · Single correct
- 24 Jun 2022, Shift 2 · Q28Open the question · Hard · Numerical value
- 25 Jun 2022, Shift 1 · Q10Independence Criterion · Medium · Single correct
- 25 Jun 2022, Shift 2 · Q16Open the question · Hard · Single correct
- 26 Jun 2022, Shift 1 · Q17Open the question · Medium · Single correct
- 26 Jun 2022, Shift 2 · Q30Open the question · Hard · Numerical value
- 27 Jun 2022, Shift 1 · Q16Combinations of Distinct Objects · Medium · Single correct
- 27 Jun 2022, Shift 1 · Q17Open the question · Medium · Single correct
- 27 Jun 2022, Shift 2 · Q17Open the question · Medium · Single correct
- 27 Jun 2022, Shift 2 · Q30Open the question · Hard · Numerical value
- 28 Jun 2022, Shift 1 · Q18Open the question · Medium · Single correct
- 28 Jun 2022, Shift 2 · Q17Number of Injective Functions · Hard · Single correct
- 29 Jun 2022, Shift 1 · Q1Open the question · Hard · Single correct
- 29 Jun 2022, Shift 2 · Q16Counting Relations · Medium · Single correct
- 30 Jun 2022, Shift 1 · Q18Open the question · Easy · Single correct
- 30 Jun 2022, Shift 1 · Q29Open the question · Medium · Numerical value
JEE Main 202130 questions
- 3 Aug 2021, Shift 1 · Q78Number of Surjective (Onto) Functions · Hard · Single correct
- 3 Aug 2021, Shift 2 · Q78Reduced Sample Space Method · Easy · Single correct
- 4 Aug 2021, Shift 1 · Q77Independence Criterion · Easy · Single correct
- 4 Aug 2021, Shift 1 · Q78Conditional Probability in Infinite Games · Medium · Single correct
- 4 Aug 2021, Shift 2 · Q65Open the question · Medium · Single correct
- 4 Aug 2021, Shift 2 · Q78Implicit Equally Likely Priors · Medium · Single correct
- 26 Aug 2021, Shift 1 · Q79Open the question · Medium · Single correct
- 26 Aug 2021, Shift 2 · Q78Conditional Probability Definition · Medium · Single correct
- 27 Aug 2021, Shift 1 · Q75Conditioning on Dice Sums · Medium · Single correct
- 27 Aug 2021, Shift 2 · Q78Open the question · Easy · Single correct
- 27 Aug 2021, Shift 2 · Q88Reduced Sample Space Method · Medium · Numerical value · has a figure
- 31 Aug 2021, Shift 1 · Q88Conditional Probability Definition · Medium · Numerical value
- 31 Aug 2021, Shift 2 · Q76Number of Surjective (Onto) Functions · Medium · Single correct
- 24 Feb 2021, Shift 1 · Q78Open the question · Medium · Single correct
- 24 Feb 2021, Shift 1 · Q82Independence Criterion · Hard · Numerical value
- 24 Feb 2021, Shift 2 · Q79Open the question · Hard · Single correct
- 25 Feb 2021, Shift 1 · Q75Multiplication Rule of Probability · Easy · Single correct
- 25 Feb 2021, Shift 1 · Q76Nature of Roots · Medium · Single correct
- 25 Feb 2021, Shift 2 · Q75Bayes' Theorem Application · Medium · Single correct
- 26 Feb 2021, Shift 1 · Q75Open the question · Easy · Single correct
- 26 Feb 2021, Shift 2 · Q73Permutations with Repetition · Medium · Single correct
- 22 Jul 2021, Shift 2 · Q73Open the question · Hard · Single correct
- 25 Jul 2021, Shift 1 · Q74Open the question · Medium · Single correct
- 25 Jul 2021, Shift 2 · Q70AGP in Expected Value Scenarios · Medium · Single correct
- 25 Jul 2021, Shift 2 · Q85Open the question · Easy · Numerical value
- 16 Mar 2021, Shift 2 · Q67Open the question · Medium · Single correct
- 17 Mar 2021, Shift 1 · Q79Open the question · Easy · Single correct
- 17 Mar 2021, Shift 1 · Q88Independence Criterion · Hard · Numerical value
- 17 Mar 2021, Shift 2 · Q71Multiplication Rule of Probability · Medium · Single correct
- 18 Mar 2021, Shift 2 · Q65Open the question · Medium · Single correct
JEE Main 202013 questions
- 8 Jan 2020, Shift 1 · Q68Conditioning on a Complementary Event · Medium · Single correct
- 8 Jan 2020, Shift 2 · Q69Conditional Prob via Venn Diagrams · Easy · Single correct
- 9 Jan 2020, Shift 1 · Q67Open the question · Medium · Single correct
- 9 Jan 2020, Shift 2 · Q67Open the question · Easy · Single correct
- 9 Jan 2020, Shift 2 · Q68Distribution of Distinct Objects into Distinct Boxes · Medium · Single correct
- 2 Sep 2020, Shift 1 · Q68Theorem of Total Probability · Medium · Single correct
- 2 Sep 2020, Shift 2 · Q68De Morgan's Laws in Conditional Spaces · Medium · Single correct
- 3 Sep 2020, Shift 1 · Q68Conditioning on Dice Sums · Easy · Single correct
- 3 Sep 2020, Shift 2 · Q68Open the question · Hard · Single correct
- 4 Sep 2020, Shift 1 · Q75Open the question · Easy · Numerical value
- 4 Sep 2020, Shift 2 · Q68Conditional Probability in Infinite Games · Medium · Single correct
- 5 Sep 2020, Shift 1 · Q75Open the question · Medium · Numerical value
- 6 Sep 2020, Shift 2 · Q68Open the question · Hard · Single correct
JEE Main 20173 questions
Questions from the official JEE Main papers published by NTA. Chapter, topic and idea tags, counts and notes are Lumi’s. Pattern: Asked most years.