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Previous year question hub

Probability and Statistics - Engineering Mathematics - Mechanical Engineering Previous Year Questions

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

28Papers
17Years
52Questions
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 47 90.4%
Medium 4 7.7%
Hard 1 1.9%

Question type distribution

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

MCQ 39 75%
Numerical Answer Type (NAT) 13 25%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering
52 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
52 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability and Statistics
52 Qs

Paper coverage

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

Mechanical Engineering (ME) 2026
1 Qs
Mechanical Engineering (ME) 2025
1 Qs
Mechanical Engineering (ME) 2024
1 Qs
Mechanical Engineering (ME) 2023
1 Qs
Mechanical Engineering (ME) 2021 [Session 1]
2 Qs
Mechanical Engineering (ME) 2020 [Session 1]
2 Qs
Mechanical Engineering (ME) 2020 [Session 2]
2 Qs
Mechanical Engineering (ME) 2019 [Session 1]
2 Qs
Mechanical Engineering (ME) 2019 [Session 2]
2 Qs
Mechanical Engineering (ME) 2018 [Session 1]
3 Qs
Mechanical Engineering (ME) 2018 [Session 2]
2 Qs
Mechanical Engineering (ME) 2016 [Session 1]
1 Qs
Mechanical Engineering (ME) 2016 [Session 2]
1 Qs
Mechanical Engineering (ME) 2016 [Session 3]
1 Qs
Mechanical Engineering (ME) 2015 [Session 3]
2 Qs
Mechanical Engineering (ME) 2014 [Session 3]
2 Qs
Mechanical Engineering (ME) 2014 [Session 4]
2 Qs
Mechanical Engineering (ME) 2014 [Session 1]
1 Qs
Mechanical Engineering (ME) 2014 [Session 2]
1 Qs
Mechanical Engineering (ME) 2013 [Session 1]
3 Qs
Mechanical Engineering (ME) 2013 [Session 2]
3 Qs
Mechanical Engineering (ME) 2013 [Session 3]
3 Qs
Mechanical Engineering (ME) 2013 [Session 4]
3 Qs
Mechanical Engineering (ME) 2011
2 Qs
Mechanical Engineering (ME) 2010
4 Qs
Mechanical Engineering (ME) 2009
2 Qs
Mechanical Engineering (ME) 2008
1 Qs
Mechanical Engineering (ME) 2007
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Mechanical Engineering (ME) 202620261View paper
Mechanical Engineering (ME) 202520251View paper
Mechanical Engineering (ME) 202420241View paper
Mechanical Engineering (ME) 202320231View paper
Mechanical Engineering (ME) 2021 [Session 1]20212View paper
Mechanical Engineering (ME) 2020 [Session 1]20202View paper
Mechanical Engineering (ME) 2020 [Session 2]20202View paper
Mechanical Engineering (ME) 2019 [Session 1]20192View paper
Mechanical Engineering (ME) 2019 [Session 2]20192View paper
Mechanical Engineering (ME) 2018 [Session 1]20183View paper
Mechanical Engineering (ME) 2018 [Session 2]20182View paper
Mechanical Engineering (ME) 2016 [Session 1]20161View paper
Mechanical Engineering (ME) 2016 [Session 2]20161View paper
Mechanical Engineering (ME) 2016 [Session 3]20161View paper
Mechanical Engineering (ME) 2015 [Session 3]20152View paper
Mechanical Engineering (ME) 2014 [Session 1]20141View paper
Mechanical Engineering (ME) 2014 [Session 2]20141View paper
Mechanical Engineering (ME) 2014 [Session 3]20142View paper
Mechanical Engineering (ME) 2014 [Session 4]20142View paper
Mechanical Engineering (ME) 2013 [Session 1]20133View paper
Mechanical Engineering (ME) 2013 [Session 2]20133View paper
Mechanical Engineering (ME) 2013 [Session 3]20133View paper
Mechanical Engineering (ME) 2013 [Session 4]20133View paper
Mechanical Engineering (ME) 201120112View paper
Mechanical Engineering (ME) 201020104View paper
Mechanical Engineering (ME) 200920092View paper
Mechanical Engineering (ME) 200820081View paper
Mechanical Engineering (ME) 200720071View paper

All Probability and Statistics previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2007
Let \( X \) and \( Y \) be two independent random variables. Which one of the relations between expectation (\( E \)), variance (\( Var \)) and covariance (\( Cov \)) given below is FALSE?
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2
2008 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2008

A coin is tossed 4 times. What is the probability of getting heads exactly 3 times?

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3
2009 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2009

If three coins are tossed simultaneously, the probability of getting at least one head is

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4
2009 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2009

The standard deviation of a uniformly distributed random variable between 0 and 1 is

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5
2010 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2010

A box contains 2 washers, 3 nuts and 4 bolts. Items are drawn from the box at random one at a time without replacement. The probability of drawing 2 washers first followed by 3 nuts and subsequently the 4 bolts is

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6
2010 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 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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7
2010 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2010
Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics ____________ his lack of seriousness about the subject.
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8
2010 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 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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9
2011 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2011

An unbiased coin is tossed five times. The outcome of each toss is either a head or a tail. The probability of getting at least one head is

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10
2011 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2011
Which of the following options is the closest in the meaning to the word below:
Inexplicable
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11
2013 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2013 [Session 1]
Let \( X \) be a normal random variable with mean 1 and variance 4. The probability \( P\{X < 0\} \) is
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12
2013 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2013 [Session 1]
The probability that a student knows the correct answer to a multiple choice question is 2/3. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is 1/4. Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is
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13
2013 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2013 [Session 1]
Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?
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14
2013 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2013 [Session 2]
Let \(X\) be a normal random variable with mean \(1\) and variance \(4\). The probability \(P\{X < 0\}\) is
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15
2013 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2013 [Session 2]
The probability that a student knows the correct answer to a multiple choice question is \(\frac{2}{3}\). If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is \(\frac{1}{4}\). Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is
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16
2013 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2013 [Session 3]
Let X be a normal random variable with mean 1 and variance 4. The probability P{X < 0} is
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17
2014 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2014 [Session 1]
In the following table, x is a discrete random variable and p(x) is the probability density. The standard deviation of x is

Question diagram

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18
2014 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2014 [Session 2]
Consider an unbiased cubic dice with opposite faces coloured identically and each face coloured red, blue or green such that each colour appears only two times on the dice. If the dice is thrown thrice, the probability of obtaining red colour on top face of the dice at least twice is ______
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19
2014 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2014 [Session 3]
A machine produces 0, 1 or 2 defective pieces in a day with associated probability of 1/6, 2/3 and 1/6, respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are
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20
2014 · Mechanical Engineering · Engineering Mathematics · Probability and Statistics
Mechanical Engineering (ME) 2014 [Session 3]
A group consists of equal number of men and women. Of this group 20% of the men and 50% of the women are unemployed. If a person is selected at random from this group, the probability of the selected person being employed is
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Showing 20 of 46 questions