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.
29Papers
18Years
55Questions
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.
55questions
Easy50
90.9%
Medium4
7.3%
Hard1
1.8%
Question type distribution
MCQ, numerical, multiple-select and other formats found in these papers.
55questions
MCQ40
72.7%
Numerical Answer Type (NAT)15
27.3%
Subject weightage
Top subjects by unique question coverage.
Mechanical Engineering
55 Qs
Most asked topics
Top topics across the included previous year papers.
Engineering Mathematics
55 Qs
Subtopic coverage
Top subtopics inside this exact selection.
Probability and Statistics
55 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) 2017 [Session 2]
3 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. Search these papers or sort by year and name.
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?
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
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:
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.
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
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?
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
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 ______
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
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
