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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.

20Papers
20Years
74Questions
1Topics

Probability and Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 44 59.5%
Medium 29 39.2%
Hard 1 1.4%

Question type distribution

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

MCQ 63 85.1%
Numerical Answer Type (NAT) 10 13.5%
MSQ 1 1.4%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
74 Qs

Most asked topics

Top topics across the included previous year papers.

Probability and Statistics
74 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability Rules and Distributions
65 Qs
Correlation and Linear Regression
9 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) 2011
2 Qs
Engineering Sciences (XE) 2010
4 Qs
Engineering Sciences (XE) 2009
1 Qs
Engineering Sciences (XE) 2008
2 Qs
Engineering Sciences (XE) 2007
3 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.

65 questions19 papers19 years

Correlation and Linear Regression

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

9 questions8 papers8 years

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Engineering Sciences (XE) 20262026
5 questions in this view		2026
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20252025
2 questions in this view		2025
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20242024
5 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20232023
5 questions in this view		2023
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20222022
4 questions in this view		2022
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20212021
3 questions in this view		2021
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20202020
5 questions in this view		2020
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20192019
3 questions in this view		2019
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20182018
3 questions in this view		2018
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20172017
6 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20162016
7 questions in this view		2016
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20152015
2 questions in this view		2015
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20142014
4 questions in this view		2014
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20132013
4 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20122012
4 questions in this view		2012
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20112011
2 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20102010
4 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20092009
1 questions in this view		2009
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20082008
2 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20072007
3 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

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

1
2007 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2007
Two students take a test consisting of five TRUE / FALSE questions. To pass the test the students have to answer atleast three questions correctly. Both of them know the correct answers to two questions and guess the answers to the remaining three. The probability that only one student passes the test is equal to
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2
2008 · Engineering Sciences · Probability and Statistics · Correlation and Linear Regression
Engineering Sciences (XE) 2008
The two lines of regression of the variables \( x \) and \( y \) are \( 4x + 2.4y = 20 \) and \( 1.6x + 4y = 12 \). The coefficient of correlation between \( x \) and \( y \) is
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3
2009 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2009
The probability that a six-sided dice is thrown \(n\) times without giving a ‘6’, even once, is
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4
2010 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2010

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

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5
2011 · Engineering Sciences · Probability and Statistics · Probability Rules and Distributions
Engineering Sciences (XE) 2011

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, then what was the total number of voters?

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6
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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