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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.

5Papers
5Years
10Questions
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.

Not classified 10 100%

Question type distribution

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

Multiple Choices 10 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
10 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
10 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
10 Qs

Paper coverage

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

BITSAT 2025
3 Qs
BITSAT 2024
2 Qs
BITSAT 2023
1 Qs
BITSAT 2022
1 Qs
BITSAT 2021
3 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
BITSAT 202520253View paper
BITSAT 202420242View paper
BITSAT 202320231View paper
BITSAT 202220221View paper
BITSAT 202120213View paper

All Probability previous year questions

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

1
2021 · Mathematics · Algebra · Probability
BITSAT 2021

Box I contains 5 red and 2 blue balls, while box II contains 2 red and 6 blue balls. A fair coin is tossed. If it turns up head, a ball is drawn from box I, else a ball is drawn from box II. The probability ball drawn is from box I, if it is blue, is

A
\({{27} \over {56}}\)
B
\({{8} \over {29}}\)
C
\({{21} \over {29}}\)
D
\({{29} \over {56}}\)
Open complete paper
2
2021 · Mathematics · Algebra · Probability
BITSAT 2021

Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings?

A
\({{7} \over {13 }}\)
B
\({{63} \over {221 }}\)
C
\({{55} \over {221 }}\)
D
\({{3} \over {26 }}\)
Open complete paper
3
2021 · Mathematics · Algebra · Probability
BITSAT 2021

If A and B are two independent events such that \(P(A) = {1 \over 2}\) and \(P(B) = {1 \over 5}\), then which of the following is correct?

A
\(P\left( {{A \over B}} \right) = {1 \over 2}\)
B
\(P\left( {{A \over {A \cup B}}} \right) = {5 \over 6}\)
C
\(P\left( {{{A \cap B} \over {A' \cup B'}}} \right) = 0\)
D
All of these
Open complete paper
4
2022 · Mathematics · Algebra · Probability
BITSAT 2022

A six faced die is a biased one. It is thrice more likely to show an odd numbers than show an even number. It is thrown twice. The probability that the sum of the numbers in two throws is even, is

A
\(\frac{5}{9}\)
B
\(\frac{5}{8}\)
C
\(\frac{1}{2}\)
D
None of these
Open complete paper
5
2023 · Mathematics · Algebra · Probability
BITSAT 2023

A six faced die is a biased once. It is thrice more likely to show an odd number, then show an even number. It is thrown twice. The probability that the sum of the number in two throws is odd, is

A
\(\frac{5}{8}\)
B
\(\frac{1}{8}\)
C
\(\frac{7}{8}\)
D
\(\frac{3}{8}\)
Open complete paper
6
2024 · Mathematics · Algebra · Probability
BITSAT 2024
In a binomial distribution, the mean is 4 and variance is 3 . Then, its mode is
A
5
B
6
C
4
D
None of these
Open complete paper
7
2024 · Mathematics · Algebra · Probability
BITSAT 2024
The probability of getting 10 in a single throw of three fair dice is
A
$\frac{1}{6} $
B
$\frac{1}{8} $
C
$\frac{1}{9} $
D
$\frac{1}{5} $
Open complete paper
8
2025 · Mathematics · Algebra · Probability
BITSAT 2025

In a binomial distribution, the mean is 10 and the variance is 6 . Then, its median is

A

88

B

10

C

99

D

None of these

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9
2025 · Mathematics · Algebra · Probability
BITSAT 2025

A four digit number is formed with digits $1,3,4$, 5 with no repetition. What is the probability that the number is divisible by 5 ?

A

$\frac{1}{5}$

B

$\frac{2}{5}$

C

$\frac{1}{4}$

D

$\frac{3}{4}$

Open complete paper
10
2025 · Mathematics · Algebra · Probability
BITSAT 2025

What is the probability of getting a sum of 9 in a single throw of three fair dice?

A

$\frac{6}{216}$

B

$\frac{36}{216}$

C

$\frac{9}{216}$

D

$\frac{25}{216}$

Open complete paper