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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.

60Papers
7Years
221Questions
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 221 100%

Question type distribution

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

Multiple Choices 221 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
221 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
221 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
221 Qs

Paper coverage

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

MHT CET 2025 19TH APRIL EVENING SHIFT
4 Qs
MHT CET 2025 19TH APRIL MORNING SHIFT
4 Qs
MHT CET 2025 20TH APRIL EVENING SHIFT
4 Qs
MHT CET 2025 20TH APRIL MORNING SHIFT
4 Qs
MHT CET 2025 21ST APRIL EVENING SHIFT
4 Qs
MHT CET 2025 21ST APRIL MORNING SHIFT
4 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
4 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
4 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
4 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
4 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
4 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
4 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
3 Qs
MHT CET 2025 23RD APRIL MORNING SHIFT
3 Qs
MHT CET 2025 26TH APRIL EVENING SHIFT
3 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
4 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
4 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 4TH MAY MORNING SHIFT
4 Qs
MHT CET 2024 9TH MAY EVENING SHIFT
4 Qs
MHT CET 2024 10TH MAY EVENING SHIFT
3 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
3 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
3 Qs
MHT CET 2024 2ND MAY EVENING SHIFT
3 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
3 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
3 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
4 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
4 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
4 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
4 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
4 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
4 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
4 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
4 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
3 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
3 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
3 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
2 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
3 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
5 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
4 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
4 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
4 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
4 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
4 Qs
MHT CET 2021 23th September Morning Shift
4 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
4 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
4 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
2 Qs
MHT CET 2020 16TH OCTOBER EVENING SHIFT
4 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
4 Qs
MHT CET 2020 19TH OCTOBER EVENING SHIFT
2 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
4 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
4 Qs
MHT CET 2019 2ND MAY EVENING SHIFT
3 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
MHT CET 2025 19TH APRIL EVENING SHIFT20254View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20254View paper
MHT CET 2025 20TH APRIL EVENING SHIFT20254View paper
MHT CET 2025 20TH APRIL MORNING SHIFT20254View paper
MHT CET 2025 21ST APRIL EVENING SHIFT20254View paper
MHT CET 2025 21ST APRIL MORNING SHIFT20254View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20254View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20254View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20253View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20253View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20254View paper
MHT CET 2025 25TH APRIL MORNING SHIFT20254View paper
MHT CET 2025 26TH APRIL EVENING SHIFT20253View paper
MHT CET 2025 26TH APRIL MORNING SHIFT20254View paper
MHT CET 2025 5TH MAY EVENING SHIFT20254View paper
MHT CET 2024 10TH MAY EVENING SHIFT20243View paper
MHT CET 2024 10TH MAY MORNING SHIFT20244View paper
MHT CET 2024 11TH MAY EVENING SHIFT20244View paper
MHT CET 2024 11TH MAY MORNING SHIFT20244View paper
MHT CET 2024 15TH MAY EVENING SHIFT20243View paper
MHT CET 2024 15TH MAY MORNING SHIFT20244View paper
MHT CET 2024 16TH MAY EVENING SHIFT20243View paper
MHT CET 2024 16TH MAY MORNING SHIFT20244View paper
MHT CET 2024 2ND MAY EVENING SHIFT20243View paper
MHT CET 2024 2ND MAY MORNING SHIFT20243View paper
MHT CET 2024 3RD MAY EVENING SHIFT20244View paper
MHT CET 2024 3RD MAY MORNING SHIFT20244View paper
MHT CET 2024 4TH MAY EVENING SHIFT20244View paper
MHT CET 2024 4TH MAY MORNING SHIFT20244View paper
MHT CET 2024 9TH MAY EVENING SHIFT20244View paper
MHT CET 2024 9TH MAY MORNING SHIFT20243View paper
MHT CET 2023 10TH MAY EVENING SHIFT20234View paper
MHT CET 2023 10TH MAY MORNING SHIFT20234View paper
MHT CET 2023 11TH MAY EVENING SHIFT20234View paper
MHT CET 2023 11TH MAY MORNING SHIFT20233View paper
MHT CET 2023 12TH MAY EVENING SHIFT20233View paper
MHT CET 2023 12TH MAY MORNING SHIFT20234View paper
MHT CET 2023 13TH MAY EVENING SHIFT20232View paper
MHT CET 2023 13TH MAY MORNING SHIFT20234View paper
MHT CET 2023 14TH MAY EVENING SHIFT20234View paper
MHT CET 2023 14TH MAY MORNING SHIFT20234View paper
MHT CET 2023 9TH MAY EVENING SHIFT20233View paper
MHT CET 2023 9TH MAY MORNING SHIFT20234View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20223View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20214View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20214View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20212View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20214View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20214View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20214View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20215View paper
MHT CET 2021 23th September Morning Shift20214View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20214View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20214View paper
MHT CET 2020 16TH OCTOBER EVENING SHIFT20204View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20204View paper
MHT CET 2020 19TH OCTOBER EVENING SHIFT20202View paper
MHT CET 2019 2ND MAY EVENING SHIFT20193View paper
MHT CET 2019 2ND MAY MORNING SHIFT20194View paper
MHT CET 2019 3RD MAY MORNING SHIFT20194View paper

All Probability previous year questions

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

1
2019 · Mathematics · Algebra · Probability
MHT CET 2019 2ND MAY EVENING SHIFT

If three dices are thrown then the probability that the sum of the numbers on their uppermost faces to be atleast 5 is

A
$\frac{1}{53}$
B
$\frac{53}{54}$
C
$\frac{1}{54}$
D
$\frac{52}{53}$
Open complete paper
2
2019 · Mathematics · Algebra · Probability
MHT CET 2019 2ND MAY EVENING SHIFT

The p.d.f of a random variable $x$ is given by

$$\begin{aligned} & f(x)=\frac{1}{4 a}, \quad 00) \\ & =0 \text {, otherwise } \end{aligned}$$

and $P\left(x<\frac{3 a}{2}\right)=k P\left(x>\frac{5 a}{2}\right)$ then $k=$ ..............

A
1
B
$\frac{1}{4}$
C
$\frac{1}{8}$
D
$\frac{1}{2}$
Open complete paper
3
2019 · Mathematics · Algebra · Probability
MHT CET 2019 2ND MAY EVENING SHIFT

In a bionomial distribution, mean is 18 and variance is 12 then $p=$ ...........

A
$\frac{2}{3}$
B
$\frac{1}{3}$
C
$\frac{3}{4}$
D
$\frac{1}{2}$
Open complete paper
4
2019 · Mathematics · Algebra · Probability
MHT CET 2019 2ND MAY MORNING SHIFT

It is observed that $25 \%$ of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is

A
$\left(\frac{1}{4}\right)^6$
B
$\frac{19}{1024}$
C
$\frac{19}{2048}$
D
$\frac{19}{4096}$
Open complete paper
5
2019 · Mathematics · Algebra · Probability
MHT CET 2019 2ND MAY MORNING SHIFT

A random variable X has following probability distribution

$X=x$ 1 2 3 4 5 6
$P(X=x)$ K 3K 5K 7K 8K K

Then $P(2 \leq X<5)=\ldots \ldots$

A
$\frac{3}{5}$
B
$\frac{7}{25}$
C
$\frac{23}{25}$
D
$\frac{24}{25}$
Open complete paper
6
2019 · Mathematics · Algebra · Probability
MHT CET 2019 2ND MAY MORNING SHIFT

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is ...........

A
$\frac{5}{7}$
B
$\frac{1}{7}$
C
$\frac{7}{15}$
D
$\frac{1}{15}$
Open complete paper
7
2019 · Mathematics · Algebra · Probability
MHT CET 2019 2ND MAY MORNING SHIFT

If the c.d.f (cumulative distribution function) is given by $F(x)=\frac{x-25}{10}$, then $P(27 \leq x \leq 33)=\ldots \ldots$

A
$\frac{3}{5}$
B
$\frac{3}{10}$
C
$\frac{1}{5}$
D
$\frac{1}{10}$
Open complete paper
8
2019 · Mathematics · Algebra · Probability
MHT CET 2019 3RD MAY MORNING SHIFT

Let $X$ be the number of successes in ' $n$ ' independent Bernoulli trials with probability of success $p=\frac{3}{4}$. The least value of ' $n$ ' so that $P(X \geq 1) \geq 0.9375$ is ......

A
2
B
1
C
4
D
3
Open complete paper
9
2019 · Mathematics · Algebra · Probability
MHT CET 2019 3RD MAY MORNING SHIFT

$$\begin{aligned} &\text { The pdf of a random variable } X \text { is }\\ &\begin{aligned} f(x) & =3\left(1-2 x^2\right), & & 0< x<1 \\ & =0 & & \text { otherwise } \end{aligned} \end{aligned}$$

The $P\left(\frac{1}{4}< x<\frac{1}{3}\right)=\ldots$

A
$\frac{179}{864}$
B
$\frac{159}{864}$
C
$\frac{169}{864}$
D
$\frac{189}{864}$
Open complete paper
10
2019 · Mathematics · Algebra · Probability
MHT CET 2019 3RD MAY MORNING SHIFT

A player tosses 2 fair coins. He wins Rs. 5 if 2 heads appear, Rs. 2 If 1 head appear and Rs. 1 if no head appears, then variance of his winning amount is

A
6
B
$\frac{5}{2}$
C
$\frac{9}{4}$
D
$\frac{17}{2}$
Open complete paper
11
2019 · Mathematics · Algebra · Probability
MHT CET 2019 3RD MAY MORNING SHIFT

The probability that three cards drawn from a pack of 52 cards, all are red is

A
$\frac{1}{17}$
B
$\frac{4}{17}$
C
$\frac{3}{17}$
D
$\frac{2}{17}$
Open complete paper
12
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The odds in favour of drawing a king from a pack of 52 playing cards is

A
\(1: 4\)
B
\(4: 1\)
C
\(12: 1\)
D
\(1: 12\)
Open complete paper
13
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER EVENING SHIFT

Out of 100 people selected at random, 10 have common cold. If five persons selected at random from the group, then the probability that at most one person will have common cold is

A
0.9851
B
0.9185
C
0.9245
D
0.9254
Open complete paper
14
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The pdf of a continuous r.v. \(X\) is given by \(f(x)=\frac{x}{8}, 0 < x < 4=0\), otherwise, then \(P(X \leq 2)\) is

A
\(\frac{1}{4}\)
B
\(\frac{5}{16}\)
C
\(\frac{9}{16}\)
D
\(\frac{7}{16}\)
Open complete paper
15
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER EVENING SHIFT

If a die is thrown at random, then the expectation of the number on it is

A
2.4
B
3.3
C
2.1
D
3.5
Open complete paper
16
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The p.d.f of c.r.v \(X\) is given by \(f(x)=\frac{x+2}{18}\), if $$-2

A
\(\frac{2}{9}\)
B
\(\frac{4}{9}\)
C
\(\frac{1}{9}\)
D
\(\frac{1}{18}\)
Open complete paper
17
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER MORNING SHIFT

If the p.m.f of a. r.v. \(X\) is given by

$$P(X=x)=\frac{{ }^5 C_x}{2^5}$$

if \(x=0,1,2, \ldots \ldots . .5=0\),

0 , otherwise,

then which of the following is not true?

A
\(P(X \leq 2)=P(X \geq 3)\)
B
\(P(X \leq 1)=P(X \geq 4)\)
C
\(P(X \leq 2) \geq P(X \geq 4)\)
D
\(P(X \leq 3) \leq P(X \geq 3)\)
Open complete paper
18
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The probability that bomb will miss the target is 0.2. Then, the probability that out of 10 bombs dropped exactly 2 will hit the target is

A
\(\frac{288}{5^9}\)
B
\(\frac{144}{5^{10}}\)
C
\(\frac{288}{5^{10}}\)
D
\(\frac{144}{5^9}\)
Open complete paper
19
2020 · Mathematics · Algebra · Probability
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The letters of the word 'LOGARITHM' are arranged at random. The probability that arrangement starts with vowel and end with consonant is

A
\(\frac{1}{9}\)
B
\(\frac{7 !}{9 !}\)
C
\(\frac{18}{9 !}\)
D
\(\frac{1}{4}\)
Open complete paper
20
2020 · Mathematics · Algebra · Probability
MHT CET 2020 19TH OCTOBER EVENING SHIFT

If $X$ is a.r.v. with c.d.f $F(x)$ and its probability distribution is given by

$X=x$ $-1.5$ $-0.5$ 0.5 1.5 2.5
$P(X=x)$ 0.05 0.2 0.15 0.25 0.35

then, $F(1.5)-F(-0.5)=$

A
0.2
B
0.4
C
0.1
D
0.3
Open complete paper

Showing 20 of 221 questions