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Previous year question hub

Probability - Algebra - Mathematics Previous Year Questions

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

71Papers
49Years
139Questions
1Topics

Probability question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 81 57.4%
Easy 37 26.2%
Hard 17 12.1%
Not classified 6 4.3%

Question type distribution

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

MCQ 72 51.1%
Subjective 31 22%
MSQ 19 13.5%
Numerical Answer Type (NAT) 16 11.3%
Fill in the blanks 3 2.1%

Subject weightage

Top subjects by unique question coverage.

Mathematics
139 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
139 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
139 Qs

Paper coverage

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

JEE Advanced 2026 Paper 1 Online
1 Qs
JEE Advanced 2026 Paper 1 Online
1 Qs
JEE Advanced 2026 Paper 1 Online
1 Qs
JEE Advanced 2026 Paper 2 Online
1 Qs
JEE ADVANCED 2025 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2025 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2024 PAPER 1 ONLINE
2 Qs
JEE ADVANCED 2024 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2023 PAPER 2 ONLINE
4 Qs
JEE ADVANCED 2023 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
2 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
4 Qs
JEE ADVANCED 2021 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2020 PAPER 2 OFFLINE
2 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2017 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2017 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
2 Qs
JEE ADVANCED 2016 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2015 PAPER 2 OFFLINE
2 Qs
JEE ADVANCED 2015 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2014 PAPER 2 OFFLINE
3 Qs
JEE ADVANCED 2013 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2013 PAPER 2 OFFLINE
2 Qs
IIT JEE 2012 PAPER 2 OFFLINE
2 Qs
IIT JEE 2012 PAPER 1 OFFLINE
1 Qs
IIT JEE 2011 PAPER 1 OFFLINE
2 Qs
IIT JEE 2011 PAPER 2 OFFLINE
1 Qs
IIT JEE 2010 PAPER 1 OFFLINE
1 Qs
IIT JEE 2010 PAPER 2 OFFLINE
1 Qs
IIT JEE 2009 PAPER 1 OFFLINE
3 Qs
IIT JEE 2008 PAPER 1 OFFLINE
1 Qs
IIT JEE 2008 PAPER 2 OFFLINE
1 Qs
IIT JEE 2007 PAPER 1 OFFLINE
2 Qs
IIT JEE 2007 PAPER 2 OFFLINE
1 Qs
IIT JEE 2006
3 Qs
IIT JEE 2005
1 Qs
IIT JEE 2005 MAINS
1 Qs
IIT JEE 2005 SCREENING
1 Qs
IIT JEE 2004
2 Qs
IIT JEE 2004 SCREENING
1 Qs
IIT JEE 2003
2 Qs
IIT JEE 2003 SCREENING
2 Qs
IIT JEE 2002
1 Qs
IIT JEE 2001
2 Qs
IIT JEE 2000
1 Qs
IIT JEE 1999
3 Qs
IIT JEE 1998
8 Qs
IIT JEE 1997
1 Qs
IIT JEE 1996
2 Qs
IIT JEE 1995 SCREENING
3 Qs
IIT JEE 1994
3 Qs
IIT JEE 1993
3 Qs
IIT JEE 1992
3 Qs
IIT JEE 1991
3 Qs
IIT JEE 1990
2 Qs
IIT JEE 1989
4 Qs
IIT JEE 1988
4 Qs
IIT JEE 1987
1 Qs
IIT JEE 1986
4 Qs
IIT JEE 1985
3 Qs
IIT JEE 1984
4 Qs
IIT JEE 1983
4 Qs
IIT JEE 1982
2 Qs
IIT JEE 1981
2 Qs
IIT JEE 1980
2 Qs
IIT JEE 1979
2 Qs
IIT JEE 1978
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE Advanced 2026 Paper 1 Online20261View paper
JEE Advanced 2026 Paper 1 Online20261View paper
JEE Advanced 2026 Paper 1 Online20261View paper
JEE Advanced 2026 Paper 2 Online20261View paper
JEE ADVANCED 2025 PAPER 1 ONLINE20251View paper
JEE ADVANCED 2025 PAPER 2 ONLINE20251View paper
JEE ADVANCED 2024 PAPER 1 ONLINE20242View paper
JEE ADVANCED 2024 PAPER 2 ONLINE20241View paper
JEE ADVANCED 2023 PAPER 1 ONLINE20231View paper
JEE ADVANCED 2023 PAPER 2 ONLINE20234View paper
JEE ADVANCED 2022 PAPER 1 ONLINE20222View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20221View paper
JEE ADVANCED 2021 PAPER 1 ONLINE20214View paper
JEE ADVANCED 2021 PAPER 2 ONLINE20211View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE20201View paper
JEE ADVANCED 2020 PAPER 2 OFFLINE20202View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE20192View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE20182View paper
JEE ADVANCED 2017 PAPER 1 OFFLINE20171View paper
JEE ADVANCED 2017 PAPER 2 OFFLINE20171View paper
JEE ADVANCED 2016 PAPER 1 OFFLINE20161View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE20162View paper
JEE ADVANCED 2015 PAPER 1 OFFLINE20151View paper
JEE ADVANCED 2015 PAPER 2 OFFLINE20152View paper
JEE ADVANCED 2014 PAPER 2 OFFLINE20143View paper
JEE ADVANCED 2013 PAPER 1 OFFLINE20132View paper
JEE ADVANCED 2013 PAPER 2 OFFLINE20132View paper
IIT JEE 2012 PAPER 1 OFFLINE20121View paper
IIT JEE 2012 PAPER 2 OFFLINE20122View paper
IIT JEE 2011 PAPER 1 OFFLINE20112View paper
IIT JEE 2011 PAPER 2 OFFLINE20111View paper
IIT JEE 2010 PAPER 1 OFFLINE20101View paper
IIT JEE 2010 PAPER 2 OFFLINE20101View paper
IIT JEE 2009 PAPER 1 OFFLINE20093View paper
IIT JEE 2008 PAPER 1 OFFLINE20081View paper
IIT JEE 2008 PAPER 2 OFFLINE20081View paper
IIT JEE 2007 PAPER 1 OFFLINE20072View paper
IIT JEE 2007 PAPER 2 OFFLINE20071View paper
IIT JEE 200620063View paper
IIT JEE 200520051View paper
IIT JEE 2005 MAINS20051View paper
IIT JEE 2005 SCREENING20051View paper
IIT JEE 200420042View paper
IIT JEE 2004 SCREENING20041View paper
IIT JEE 200320032View paper
IIT JEE 2003 SCREENING20032View paper
IIT JEE 200220021View paper
IIT JEE 200120012View paper
IIT JEE 200020001View paper
IIT JEE 199919993View paper
IIT JEE 199819988View paper
IIT JEE 199719971View paper
IIT JEE 199619962View paper
IIT JEE 1995 SCREENING19953View paper
IIT JEE 199419943View paper
IIT JEE 199319933View paper
IIT JEE 199219923View paper
IIT JEE 199119913View paper
IIT JEE 199019902View paper
IIT JEE 198919894View paper
IIT JEE 198819884View paper
IIT JEE 198719871View paper
IIT JEE 198619864View paper
IIT JEE 198519853View paper
IIT JEE 198419844View paper
IIT JEE 198319834View paper
IIT JEE 198219822View paper
IIT JEE 198119812View paper
IIT JEE 198019802View paper
IIT JEE 197919792View paper
IIT JEE 197819781View paper

All Probability previous year questions

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

1
1978 · Mathematics · Algebra · Probability
IIT JEE 1978
Balls are drawn one-by-one without replacement from a box containing \(2\) black, \(4\) white and \(3\) red balls till all the balls are drawn. Find the probability that the balls drawn are in the order \(2\) black, \(4\) white and \(3\) red.
Open complete paper
2
1979 · Mathematics · Algebra · Probability
IIT JEE 1979
Two fair dice are tossed. Let \(x\) be the event that the first die shows an even number and \(y\) be the event that the second die shows an odd number. The two events \(x\) and \(y\) are:
Open complete paper
3
1979 · Mathematics · Algebra · Probability
IIT JEE 1979
Six boys and six girls sit in a row randomly. Find the probability that
(i) the six girls sit together
(ii) the boys and girls sit alternately.
Open complete paper
4
1980 · Mathematics · Algebra · Probability
IIT JEE 1980
The probability that an event \(A\) happens in one trial of an experiment is \(0.4.\) Three independent trials of the experiment are performed. The probability that the event \(A\) happens at least once is
Open complete paper
5
1980 · Mathematics · Algebra · Probability
IIT JEE 1980
Two events \(A\) and \(B\) have probabilities \(0.25\) and \(0.50\) respectively. The probability that both \(A\) and \(B\) occur simultaneously is \(0.14\). Then the probability that neither \(A\) nor \(B\) occurs is
Open complete paper
6
1981 · Mathematics · Algebra · Probability
IIT JEE 1981
An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are \(0.4, 0.3, 0.2\) and \(0.1\) respectively. What is the probability that the gun hits the plane?
Open complete paper
7
1981 · Mathematics · Algebra · Probability
IIT JEE 1981
For a biased die the probabilities for the different faces to turn up are given below : IIT-JEE 1981 Mathematics - Probability Question 136 English

This die tossed and you are told that either face \(1\) or face \(2\) has turned up. Then the probability that it is face \(1\) is ...............

Open complete paper
8
1982 · Mathematics · Algebra · Probability
IIT JEE 1982
\(A\) and \(B\) are two candidates seeking admission in \(IIT.\) The probability that \(A\) is selected is \(0.5\) and the probability that both \(A\) and \(B\) are selected is atmost \(0.3\). Is it possible that the probability of \(B\) getting selected is \(0.9\) ?
Open complete paper
9
1982 · Mathematics · Algebra · Probability
IIT JEE 1982
If \(A\) and \(B\) are two events such that \(P\left( A \right) > 0,\) and \(P\left( B \right) \ne 1,\) then \(P\left( {{{\overline A } \over {\overline B }}} \right)\) is equal to
Open complete paper
10
1983 · Mathematics · Algebra · Probability
IIT JEE 1983
If the letters of the word "Assassin" are written down at random in a row, the probability that no two S's occur together is \(1/35\)
Open complete paper
11
1983 · Mathematics · Algebra · Probability
IIT JEE 1983
\(A, B, C\) are events such that
$$P\left( A \right) = 0.3,P\left( B \right) = 0.4,P\left( C \right) = 0.8$$
$$P\left( {AB} \right) = 0.08,P\left( {AC} \right) = 0.28;\,\,P\left( {ABC} \right) = 0.09$$

If \(P\left( {A \cup B \cup C} \right) \ge 0.75,\) then show that \(P\) \((BC)\) lies in the interval \(0.23 \le x \le 0.48\)

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12
1983 · Mathematics · Algebra · Probability
IIT JEE 1983
Cards are drawn one by one at random from a well - shuffled full pack of \(52\) playing cards until \(2\) aces are obtained for the first time. If \(N\) is the number of cards required to be drawn, then show that \({P_r}\left\{ {N = n} \right\} = {{\left( {n - 1} \right)\left( {52 - n} \right)\left( {51 - n} \right)} \over {50 \times 49 \times 17 \times 13}}\) where \(2 \le n \le 50\)
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13
1983 · Mathematics · Algebra · Probability
IIT JEE 1983
Fifteen coupons are numbered \(1, 2 ........15,\) respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is \(9,\) is
Open complete paper
14
1984 · Mathematics · Algebra · Probability
IIT JEE 1984
In a certain city only two newspapers \(A\) and \(B\) are published, it is known that \(25\)% of the city population reads \(A\) and \(20\)% reads \(B\) while \(8\)% reads both \(A\) and \(B\). It is also known that \(30\)% of those who read \(A\) but not \(B\) look into advertisements and \(40\)% of those who read \(B\) but not \(A\) look into advertisements while \(50\)% of those who read both \(A\) and \(B\) look into advertisements. What is the percentage of the population that reads an advertisement?
Open complete paper
15
1984 · Mathematics · Algebra · Probability
IIT JEE 1984
A box contains \(24\) identical balls of which \(12\) are white and \(12\) are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the \(4\)th time on the \(7\)th draw is
Open complete paper
16
1984 · Mathematics · Algebra · Probability
IIT JEE 1984
Three identical dice are rolled. The probability that the same number will appear on each of them is
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17
1984 · Mathematics · Algebra · Probability
IIT JEE 1984
If \(M\) and \(N\) are any two events, the probability that exactly one of them occurs is
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18
1985 · Mathematics · Algebra · Probability
IIT JEE 1985
In a multiple-choice question there are four alternative answers, of which one or more are correct. A candidate will get marks in the question only if he ticks the correct answers. The candidate decides to tick the answers at random, If he is allowed upto three chances to answer the questions, find the probability that he will get marks in the questions.
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19
1985 · Mathematics · Algebra · Probability
IIT JEE 1985
A box contains \(100\) tickets numbered \(1, 2, ....., 100.\) Two tickets are chosen at random. It is given that the maximum number on the two chosen tickets is not more than \(10.\) The minimum number on them is \(5\) with probability ........
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20
1985 · Mathematics · Algebra · Probability
IIT JEE 1985
\(P\left( {A \cup B} \right) = P\left( {A \cap B} \right)\) if and only if the relation between \(P(A)\) and \(P(B)\) is .............
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Showing 20 of 139 questions