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Previous year question hub

Probability and Statistics - Engineering Sciences Previous Year Questions

Practice Probability and Statistics - Engineering Sciences previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

16Papers
16Years
63Questions
1Topics

Probability and Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Probability and Statistics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 40 63.5%
Medium 22 34.9%
Hard 1 1.6%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 52 82.5%
Numerical Answer Type (NAT) 10 15.9%
MSQ 1 1.6%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
63 Qs

Most asked topics

Top topics across the included previous year papers.

Probability and Statistics
63 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability Rules and Distributions
57 Qs
Correlation and Linear Regression
6 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Engineering Sciences (XE) 2026
5 Qs
Engineering Sciences (XE) 2025
2 Qs
Engineering Sciences (XE) 2024
5 Qs
Engineering Sciences (XE) 2023
5 Qs
Engineering Sciences (XE) 2022
4 Qs
Engineering Sciences (XE) 2021
3 Qs
Engineering Sciences (XE) 2020
5 Qs
Engineering Sciences (XE) 2019
3 Qs
Engineering Sciences (XE) 2018
3 Qs
Engineering Sciences (XE) 2017
6 Qs
Engineering Sciences (XE) 2016
7 Qs
Engineering Sciences (XE) 2015
2 Qs
Engineering Sciences (XE) 2014
4 Qs
Engineering Sciences (XE) 2013
4 Qs
Engineering Sciences (XE) 2012
4 Qs
Engineering Sciences (XE) 2010
1 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Probability Rules and Distributions

Explore previous-paper coverage, trends and focused practice for Probability Rules and Distributions.

57 questions16 papers16 years

Correlation and Linear Regression

Explore previous-paper coverage, trends and focused practice for Correlation and Linear Regression.

6 questions6 papers6 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620265View paper
Engineering Sciences (XE) 202520252View paper
Engineering Sciences (XE) 202420245View paper
Engineering Sciences (XE) 202320235View paper
Engineering Sciences (XE) 202220224View paper
Engineering Sciences (XE) 202120213View paper
Engineering Sciences (XE) 202020205View paper
Engineering Sciences (XE) 201920193View paper
Engineering Sciences (XE) 201820183View paper
Engineering Sciences (XE) 201720176View paper
Engineering Sciences (XE) 201620167View paper
Engineering Sciences (XE) 201520152View paper
Engineering Sciences (XE) 201420144View paper
Engineering Sciences (XE) 201320134View paper
Engineering Sciences (XE) 201220124View paper
Engineering Sciences (XE) 201020101View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2010 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2010
Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?
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2
2012 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2012
A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is
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3
2013 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2013

In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?

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4
2014 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2014
Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently.
Which one of the statements below is logically valid and can be inferred from the above sentences?
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5
2015 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2015
A box has ten light bulbs out of which two are defective. Two light bulbs are drawn from this box one after the other without replacement. The probability that both light bulbs drawn are NOT DEFECTIVE is
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6
2016 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2016
R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.
Which of the following can be logically inferred from the above statements?
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