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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.

4Papers
4Years
5Questions
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 5 100%

Question type distribution

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

Multiple Choices 5 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
5 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
5 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Probability
5 Qs

Paper coverage

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

VITEEE 2024
1 Qs
VITEEE 2023
1 Qs
VITEEE 2022
1 Qs
VITEEE 2021
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
VITEEE 202420241View paper
VITEEE 202320231View paper
VITEEE 202220221View paper
VITEEE 202120212View paper

All Probability previous year questions

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

1
2021 · Mathematics · Algebra · Probability
VITEEE 2021

Five persons entered the lift cabin on the ground floor of an eight floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all 5 persons leaving at different floors is

A
\(\frac{{ }^7 P_5}{7^5}\)
B
\(\frac{7^5}{{ }^7 P_5}\)
C
\(\frac{6}{{ }^6 P_5}\)
D
\(\frac{{ }^5 P_5}{5^5}\)
Open complete paper
2
2021 · Mathematics · Algebra · Probability
VITEEE 2021

A bag contains 50 tickets numbered \(1,2,3, ..., 50\) of which five are drawn at random and arranged in ascending order of magnitude \(\left(x_1 < x_2 < x_3 < x_4< x_5\right)\), then the probability that $x_3=30$ is

A
\(\frac{{ }^{29} \mathrm{C}_2 \times{ }^{20} \mathrm{C}_2}{{ }^{50} \mathrm{C}_5}\)
B
\(\frac{{ }^{30} C_1 \times{ }^{29} C_1}{{ }^{50} C_5}\)
C
\(\frac{{ }^5 C_1 \times{ }^{50} C_2}{{ }^{50} C_5}\)
D
\(\frac{{ }^{50} C_2 \times{ }^{29} C_1}{{ }^{50} C_5}\)
Open complete paper
3
2022 · Mathematics · Algebra · Probability
VITEEE 2022

Two dices are rolled. If both dices have six faces numbered \(1,2,3,5,7\) and \(11\) then the probability that the sum of the number on the top faces is less than or equal to 8 is

A
\(\frac{4}{9}\)
B
\(\frac{17}{36}\)
C
\(\frac{5}{12}\)
D
\(\frac{1}{2}\)
Open complete paper
4
2023 · Mathematics · Algebra · Probability
VITEEE 2023

Let \(A\) and \(B\) be two independent events such that the odds in favour of \(A\) and \(B\) are \(1: 1\) and \(3: 2\), respectively. Then, the probability that only one of the two occurs is

A
0.6
B
0.8
C
0.5
D
0.4
Open complete paper
5
2024 · Mathematics · Algebra · Probability
VITEEE 2024

Two red counters, three green counters and four blue counters are placed in a row in random order. The probability that no two blue counters are adjacent is

A
$\frac{7}{99}$
B
$\frac{7}{198}$
C
$\frac{5}{42}$
D
None of these
Open complete paper