Statistics and Probability JEE Advanced PYQ Chapter Wise

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Answer first

Statistics and Probability PYQs (previous year questions) for JEE Advanced: Statistics and Probability (Mathematics) had 36 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 21 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Conditional Probability, Probability, Random Variables.

Year-wise question count

Asked in 11 of 11 years, with 2 papers each year.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Statistics and Probability PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Statistics and Probability questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.

JEE Advanced2026

• Q.5 (Paper 1) · MSQ · Conditional Probability: Probabilities for a ball drawn from two mixed boxes (official answer: A, C) PDF
• Q.11 (Paper 2) · Numerical · Random Variables: Expected value for the difference of subject counts in chosen books (official answer: 99–101) PDF
• Q.12 (Paper 2) · Numerical · Mean and Variance: Find a quantity from the mean and variance of a data set and its subset (official answer: 44) PDF

JEE Advanced2025

• Q.2 (Paper 1) · MCQ · Conditional Probability: Probability that a third student solves, given event probabilities for three solvers (official answer: A) PDF
• Q.14 (Paper 1) · Matching · Mean Median Mode: Match mean, median, deviations for a distribution with unknown frequencies (official answer: C) PDF
• Q.11 (Paper 2) · Numerical · Bayes Theorem: Probability about defective bulbs from three units in given proportions (official answer: 0.27–0.33) PDF

JEE Advanced2024

• Q.2 (Paper 1) · MCQ · Bayes Theorem: Probability of known answers in a true-false quiz with guessing (official answer: C) PDF
• Q.13 (Paper 1) · Integer · Random Variables: Value from mean and variance of a linear probability distribution (official answer: 42) PDF
• Q.9 (Paper 2) · Integer · Conditional Probability: Number of balls N from a conditional probability of draws (official answer: 11) PDF

JEE Advanced2023

• Q.6 (Paper 1) · MCQ · Probability: Probability three lattice points form a triangle with integer area (official answer: B) PDF
• Q.15 (Paper 1) · Matching · Measures of Dispersion: Mean, median and mean deviations of a frequency distribution (official answer: A) PDF
• Q.2 (Paper 2) · MCQ · Probability: Probability that tossing until two equal outcomes ends with a head (official answer: B) PDF
• Q.10 (Paper 2) · Integer · Conditional Probability: Conditional probability a five-digit number is a multiple of 20 (official answer: 31) PDF
• Q.16 (Paper 2) · Numerical · Random Variables: Expected number of grid neighbours of a random lattice point (official answer: 23.99–24.01) PDF
• Q.17 (Paper 2) · Numerical · Probability: Probability two random grid points are adjacent (official answer: 0.49–0.51) PDF

JEE Advanced2022

• Q.3 (Paper 1) · Numerical · Probability: Probability a surveyed person has at most one of three symptoms (official answer: 0.79–0.81) PDF
• Q.16 (Paper 1) · Matching · Probability: Probabilities of score outcomes in a two-player dice game (official answer: A) PDF
• Q.17 (Paper 2) · MCQ · Conditional Probability: Conditional probability over draws from a chain of boxes (official answer: C) PDF

JEE Advanced2021

• Q.3 (Paper 1) · MCQ · Conditional Probability: Conditional probability in a multi-stage set selection PDF
• Q.5 (Paper 1) · Numerical · Probability: Probability that the maximum of three chosen numbers is at least 81 PDF
• Q.6 (Paper 1) · Numerical · Probability: Probability that the minimum of three chosen numbers is at most 40 PDF
• Q.13 (Paper 1) · MSQ · Probability: Bounds on probabilities of event combinations PDF
• Q.17 (Paper 2) · Integer · Probability: Probability a random number is a multiple of 3 or 7 PDF

JEE Advanced2020

• Q.5 (Paper 1) · MCQ · Probability: Probability that roots of a quadratic from coin tosses are real and equal PDF
• Q.2 (Paper 2) · Integer · Binomial Distribution: Minimum missiles fired for 95% chance of three hits PDF
• Q.15 (Paper 2) · Numerical · Conditional Probability: Probability that a perfect square sum occurring first is odd PDF

JEE Advanced2019

• Q.7 (Paper 1) · MSQ · Bayes Theorem: Probabilities for drawing a ball from one of three bags (official answer: A, B) PDF
• Q.15 (Paper 1) · Numerical · Conditional Probability: Conditional probability for random 0-1 matrices (official answer: 0.5) PDF
• Q.11 (Paper 2) · Numerical · Independent Events: Ordered pairs of independent events with size condition (official answer: 422) PDF

JEE Advanced2018

• Q.17 (Paper 1) · Paragraph MCQ · Derangements: Probability one student keeps seat and rest are deranged PDF
• Q.18 (Paper 1) · Paragraph MCQ · Classical Probability: Probability that consecutive students do not sit adjacent PDF

JEE Advanced2017

• Q.43 (Paper 1) · MSQ · Conditional Probability: Probabilities from given conditional probabilities of two events (official answer: A, B) PDF
• Q.43 (Paper 2) · MCQ · Classical Probability: Probability z is even for nonnegative solutions of x+y+z=10 (official answer: B) PDF

JEE Advanced2016

• Q.40 (Paper 1) · MCQ · Bayes' Theorem: Probability a non-defective computer came from plant T2 (official answer: C) PDF
• Q.51 (Paper 2) · Paragraph MCQ · Probability Distributions: Probability T1 scores more than T2 over two games (official answer: B) PDF
• Q.52 (Paper 2) · Paragraph MCQ · Probability Distributions: Probability both teams score equal points over two games (official answer: C) PDF

Statistics and Probability in other exams

The same chapter in other official papers we tagged: JEE Main (23 questions).

Other Mathematics chapters

• Sets, Relations and Functions PYQs
• Complex Numbers and Quadratic Equations PYQs
• Matrices and Determinants PYQs
• Permutations and Combinations PYQs
• Binomial Theorem PYQs
• Sequences and Series PYQs
• Limits, Continuity and Differentiability PYQs
• Integral Calculus PYQs
• Differential Equations PYQs
• Coordinate Geometry PYQs
• Three-Dimensional Geometry PYQs
• Vector Algebra PYQs
• Trigonometry PYQs

FAQ

How many Statistics and Probability questions come in JEE Advanced?

In the official papers we tagged: 3 in 2026, 3 in 2025, 3 in 2024, 6 in 2023, 3 in 2022, 5 in 2021, 3 in 2020, 3 in 2019, 2 in 2018, 2 in 2017 and 3 in 2016 (2 papers each year). That is 36 questions in all, about 9% of Mathematics.

Which Statistics and Probability topics repeat in JEE Advanced?

Asked in the most papers: Conditional Probability, Probability, Random Variables. The concept table lists every one with its count.

Are these official JEE Advanced questions?

Yes. Every question is from an official JEE Advanced paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.