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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.

180Papers
25Years
237Questions
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 172 72.6%
Easy 59 24.9%
Hard 6 2.5%

Question type distribution

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

Multiple Choices 203 85.7%
Numerical Answer Type (NAT) 34 14.3%

Subject weightage

Top subjects by unique question coverage.

Mathematics
237 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
237 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
237 Qs

Paper coverage

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

JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT
2 Qs
JEE Main 2026 (Online) 2nd April Evening Shift
1 Qs
JEE Main 2026 (Online) 2nd April Morning Shift
1 Qs
JEE Main 2026 (Online) 4th April Evening Shift
1 Qs
JEE Main 2026 (Online) 4th April Morning Shift
1 Qs
JEE Main 2026 (Online) 5th April Evening Shift
1 Qs
JEE Main 2026 (Online) 5th April Morning Shift
1 Qs
JEE Main 2026 (Online) 6th April Evening Shift
1 Qs
JEE Main 2026 (Online) 6th April Morning Shift
1 Qs
JEE Main 2026 (Online) 8th April Evening Shift
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT
1 Qs
JEE Main 2021 (Online) 24th February Morning Shift
2 Qs
JEE Main 2021 (Online) 25th February Evening Shift
2 Qs
JEE Main 2021 (Online) 25th February Morning Shift
2 Qs
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
2 Qs
JEE Main 2021 (Online) 24th February Evening Shift
1 Qs
JEE Main 2021 (Online) 26th February Evening Shift
1 Qs
JEE Main 2021 (Online) 26th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT
2 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 4TH SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
2 Qs
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT
2 Qs
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT
2 Qs
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2018 OFFLINE
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2017 OFFLINE
3 Qs
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2016 OFFLINE
1 Qs
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
1 Qs
JEE MAIN 2014 OFFLINE
1 Qs
JEE MAIN 2013 OFFLINE
1 Qs
AIEEE 2012
1 Qs
AIEEE 2011
2 Qs
AIEEE 2010
2 Qs
AIEEE 2009
2 Qs
AIEEE 2008
2 Qs
AIEEE 2007
2 Qs
IIT-JEE 2007
2 Qs
AIEEE 2006
1 Qs
AIEEE 2005
3 Qs
AIEEE 2004
2 Qs
AIEEE 2003
3 Qs
AIEEE 2002
3 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE Main 2026 (Online) 2nd April Evening Shift20261View paper
JEE Main 2026 (Online) 2nd April Morning Shift20261View paper
JEE Main 2026 (Online) 4th April Evening Shift20261View paper
JEE Main 2026 (Online) 4th April Morning Shift20261View paper
JEE Main 2026 (Online) 5th April Evening Shift20261View paper
JEE Main 2026 (Online) 5th April Morning Shift20261View paper
JEE Main 2026 (Online) 6th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Morning Shift20261View paper
JEE Main 2026 (Online) 8th April Evening Shift20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT20262View paper
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 2ND APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT20222View paper
JEE Main 2021 (Online) 24th February Evening Shift20211View paper
JEE Main 2021 (Online) 24th February Morning Shift20212View paper
JEE Main 2021 (Online) 25th February Evening Shift20212View paper
JEE Main 2021 (Online) 25th February Morning Shift20212View paper
JEE Main 2021 (Online) 26th February Evening Shift20211View paper
JEE Main 2021 (Online) 26th February Morning Shift20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT20211View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT20202View paper
JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2018 OFFLINE20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT20181View paper
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT20182View paper
JEE MAIN 2017 OFFLINE20173View paper
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT20172View paper
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT20172View paper
JEE MAIN 2016 OFFLINE20161View paper
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT20161View paper
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT20161View paper
JEE MAIN 2015 OFFLINE20151View paper
JEE MAIN 2014 OFFLINE20141View paper
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AIEEE 201220121View paper
AIEEE 201120112View paper
AIEEE 201020102View paper
AIEEE 200920092View paper
AIEEE 200820082View paper
AIEEE 200720072View paper
IIT-JEE 200720072View paper
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AIEEE 200520053View paper
AIEEE 200420042View paper
AIEEE 200320033View paper
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All Probability previous year questions

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

1
2002 · Mathematics · Algebra · Probability
AIEEE 2002
A dice is tossed \(5\) times. Getting an odd number is considered a success. Then the variance of distribution of success is :
A
\(8/3\)
B
\(3/8\)
C
\(4/5\)
D
\(5/4\)
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2
2002 · Mathematics · Algebra · Probability
AIEEE 2002
A problem in mathematics is given to three students \(A,B,C\) and their respective probability of solving the problem is \({1 \over 2},{1 \over 3}\) and \({1 \over 4}.\) Probability that the problem is solved is :
A
\({3 \over 4}\)
B
\({1 \over 2}\)
C
\({2 \over 3}\)
D
\({1 \over 3}\)
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3
2002 · Mathematics · Algebra · Probability
AIEEE 2002
\(A\) and \(B\) are events such that \(P\left( {A \cup B} \right) = 3/4\),\(P\left( {A \cap B} \right) = 1/4,\)
\(P\left( {\overline A } \right) = 2/3\) then \(P\left( {\overline A \cap B} \right)\) is :
A
\(5/12\)
B
\(3/8\)
C
\(5/8\)
D
\(1/4\)
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4
2003 · Mathematics · Algebra · Probability
AIEEE 2003
The mean and variance of a random variable \(X\) having binomial distribution are \(4\) and \(2\) respectively, then \(P(X=1)\) is :
A
\({1 \over 4}\)
B
\({1 \over 32}\)
C
\({1 \over 16}\)
D
\({1 \over 8}\)
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5
2003 · Mathematics · Algebra · Probability
AIEEE 2003
Events \(A, B, C\) are mutually exclusive events such that \(P\left( A \right) = {{3x + 1} \over 3},\) \(P\left( B \right) = {{1 - x} \over 4}\) and \(P\left( C \right) = {{1 - 2x} \over 2}\) The set of possible values of \(x\) are in the interval.
A
\(\left[ {0,1} \right]\)
B
\(\left[ {{1 \over 3},{1 \over 2}} \right]\)
C
\(\left[ {{1 \over 3},{2 \over 3}} \right]\)
D
\(\left[ {{1 \
3},{13 \over 3}} \right]\)
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6
2003 · Mathematics · Algebra · Probability
AIEEE 2003
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is :
A
\({{2 \over 5}}\)
B
\({{4 \over 5}}\)
C
\({{3 \over 5}}\)
D
\({{1 \over 5}}\)
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7
2004 · Mathematics · Algebra · Probability
AIEEE 2004
The mean and the variance of a binomial distribution are \(4\) and \(2\) respectively. Then the probability of \(2\) successes is :
A
\({28 \over 256}\)
B
\({219 \over 256}\)
C
\({128 \over 256}\)
D
\({37 \over 256}\)
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8
2004 · Mathematics · Algebra · Probability
AIEEE 2004
The probability that \(A\) speaks truth is \({4 \over 5},\) while the probability for \(B\) is \({3 \over 4}.\) The probability that they contradict each other when asked to speak on a fact is :
A
\({4 \over 5}\)
B
\({1 \over 5}\)
C
\({7 \over 20}\)
D
\({3 \over 20}\)
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9
2005 · Mathematics · Algebra · Probability
AIEEE 2005
A random variable \(X\) has Poisson distribution with mean \(2\).
Then \(P\left( {X > 1.5} \right)\) equals :
A
\({2 \over {{e^2}}}\)
B
\(0\)
C
\(1 - {3 \over {{e^2}}}\)
D
\({3 \over {{e^2}}}\)
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10
2005 · Mathematics · Algebra · Probability
AIEEE 2005
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :
A
\({2 \over 9}\)
B
\({1 \over 9}\)
C
\({8 \over 9}\)
D
\({7 \over 9}\)
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11
2005 · Mathematics · Algebra · Probability
AIEEE 2005
Let \(A\) and \(B\) two events such that \(P\left( {\overline {A \cup B} } \right) = {1 \over 6},\) \(P\left( {A \cap B} \right) = {1 \over 4}\) and \(P\left( {\overline A } \right) = {1 \over 4},\) where \({\overline A }\) stands for complement of event \(A\). Then events \(A\) and \(B\) are :
A
equally likely and mutually exclusive
B
equally likely but not independent
C
independent but not equally likely
D
mutually exclusive and independent
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12
2006 · Mathematics · Algebra · Probability
AIEEE 2006
At a telephone enquiry system the number of phone cells regarding relevant enquiry follow Poisson distribution with an average of \(5\) phone calls during \(10\) minute time intervals. The probability that there is at the most one phone call during a \(10\)-minute time period is :
A
\({6 \over {{5^e}}}\)
B
\({5 \over 6}\)
C
\({6 \over 55}\)
D
\({6 \over {{e^5}}}\)
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13
2007 · Mathematics · Algebra · Probability
AIEEE 2007
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly \(9\) twice is :
A
\(8/729\)
B
\(8/243\)
C
\(1/729\)
D
\(8/9.\)
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14
2007 · Mathematics · Algebra · Probability
AIEEE 2007
Two aeroplanes \({\rm I}\) and \({\rm I}\)\({\rm I}\) bomb a target in succession. The probabilities of \({\rm I}\) and \({\rm I}\)\({\rm I}\) scoring a hit correctly are \(0.3\) and \(0.2,\) respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is :
A
\(0.2\)
B
\(0.7\)
C
\(0.06\)
D
0.32
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15
2008 · Mathematics · Algebra · Probability
AIEEE 2008
It is given that the events \(A\) and \(B\) are such that
\(P\left( A \right) = {1 \over 4},P\left( {A|B} \right) = {1 \over 2}\) and \(P\left( {B|A} \right) = {2 \over 3}.\) Then \(P(B)\) is :
A
\({1 \over 6}\)
B
\({1 \over 3}\)
C
\({2 \over 3}\)
D
\({1 \over 2}\)
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16
2008 · Mathematics · Algebra · Probability
AIEEE 2008
A die is thrown. Let \(A\) be the event that the number obtained is greater than \(3.\) Let \(B\) be the event that the number obtained is less than \(5.\) Then \(P\left( {A \cup B} \right)\) is :
A
\({3 \over 5}\)
B
\(0\)
C
\(1\)
D
\({2 \over 5}\)
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17
2009 · Mathematics · Algebra · Probability
AIEEE 2009
In a binomial distribution \(B\left( {n,p = {1 \over 4}} \right),\) if the probability of at least one success is greater than or equal to \({9 \over {10}},\) then \(n\) is greater than :
A
\({1 \over {\log _{10}^4 + \log _{10}^3}}\)
B
\({9 \over {\log _{10}^4 - \log _{10}^3}}\)
C
\({4 \over {\log _{10}^4 - \log _{10}^3}}\)
D
\({1 \over {\log _{10}^4 - \log _{10}^3}}\)
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18
2009 · Mathematics · Algebra · Probability
AIEEE 2009
One ticket is selected at random from \(50\) tickets numbered \(00, 01, 02, ...., 49.\) Then the probability that the sum of the digits on the selected ticket is \(8\), given that the product of these digits is zer, equals :
A
\({1 \over 7}\)
B
\({5 \over 14}\)
C
\({1 \over 50}\)
D
\({1 \over 14}\)
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19
2010 · Mathematics · Algebra · Probability
AIEEE 2010
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is :
A
\({2 \over 7}\)
B
\({1 \over 21}\)
C
\({1 \over 23}\)
D
\({1 \over 3}\)
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20
2010 · Mathematics · Algebra · Probability
AIEEE 2010
Four numbers are chosen at random (without replacement) from the set \(\left\{ {1,2,3,....20} \right\}.\)

Statement - 1: The probability that the chosen numbers when arranged in some order will form an AP is \({1 \over {85}}.\)

Statement - 2: If the four chosen numbers form an AP, then the set of all possible values of common difference is \(\left( { \pm 1, \pm 2, \pm 3, \pm 4, \pm 5} \right).\)

A
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1.
B
Statement - 1 is true, Statement - 2 is false.
C
Statement - 1 is false, Statement -2 is true.
D
Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1.
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Showing 20 of 237 questions