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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
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.

IAT IISER 2025
1 Qs
IAT IISER 2024
1 Qs
IAT IISER 2023
1 Qs
IAT IISER 2022
1 Qs
IAT IISER 2020
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
IAT IISER 202520251View paper
IAT IISER 202420241View paper
IAT IISER 202320231View paper
IAT IISER 202220221View paper
IAT IISER 202020201View paper

All Probability previous year questions

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

1
2020 · Mathematics · Algebra · Probability
IAT IISER 2020

A bag contains 8 balls, of which 5 are green and 3 are red. The probability that two balls chosen at random are of the same colour is :

A
$12 / 28$
B
$14 / 28$
C
$15 / 28$
D
$13 / 28$
Open complete paper
2
2022 · Mathematics · Algebra · Probability
IAT IISER 2022

A randomly chosen card from a deck of 52 cards is given to be a black card (Spade or Club). What is the probability that it is either a face card (King, Queen or Jack) or a Spade?

A
$7 / 13$
B
$8 / 13$
C
9/13
D
$19 / 26$
Open complete paper
3
2023 · Mathematics · Algebra · Probability
IAT IISER 2023
Consider three biased coins. Let the probability of getting head be $\frac{1}{3}$ and the probability of getting tail be $\frac{2}{3}$ in each of the coins. Consider the experiment of tossing the threee coins one by one, and the following events: $E$ :"At least two heads show up" F:"First coin shows tail". What is the conditional probability of $E$ given that $F$ has already occurred?
A
$1 / 9$
B
$2 / 9$
C
$1 / 4$
D
$4 / 9$
Open complete paper
4
2024 · Mathematics · Algebra · Probability
IAT IISER 2024
A ship sets off on a voyage with three engines, labelled $A, B$, and $C$, which work independently. The ship can complete the voyage only if at least two of these engines keep working. The probability that engine $A$ breaks down is $1 / 4$, that engine $B$ breaks down is $1 / 4$, and that engine $C$ breaks down is $1 / 2$. What is the probability that the ship can complete the voyage?
A
3/4
B
$1 / 2$
C
$1 / 32$
D
$1 / 4$
Open complete paper
5
2025 · Mathematics · Algebra · Probability
IAT IISER 2025

Five fair coins are tossed independently. What is the probability that at least two heads appear?

A

$\frac{13}{16}$

B

$\frac{7}{16}$

C

$\frac{5}{16}$

D

$\frac{11}{16}$

Open complete paper