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Previous year question hub

Probability and Statistics - Data Science & Artificial Intelligence Previous Year Questions

Practice Probability and Statistics - Data Science & Artificial Intelligence previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

3Papers
3Years
37Questions
1Topics

Probability and Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Probability and Statistics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 26 70.3%
Medium 11 29.7%

Question type distribution

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

MCQ 18 48.6%
Numerical Answer Type (NAT) 15 40.5%
MSQ 4 10.8%

Subject weightage

Top subjects by unique question coverage.

Data Science & Artificial Intelligence
37 Qs

Most asked topics

Top topics across the included previous year papers.

Probability and Statistics
37 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Random Variables and Distributions
23 Qs
Probability Rules and Conditional Probability
10 Qs
Descriptive Statistics and Correlation
3 Qs
Limit Theorems and Statistical Inference
1 Qs

Paper coverage

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

Data Science and Artificial Intelligence (DA) 2026
14 Qs
Data Science & Artificial Intelligence (DA) 2025
12 Qs
Data Science & Artificial Intelligence (DA) 2024
11 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Random Variables and Distributions

Explore previous-paper coverage, trends and focused practice for Random Variables and Distributions.

23 questions3 papers3 years

Probability Rules and Conditional Probability

Explore previous-paper coverage, trends and focused practice for Probability Rules and Conditional Probability.

10 questions3 papers3 years

Descriptive Statistics and Correlation

Explore previous-paper coverage, trends and focused practice for Descriptive Statistics and Correlation.

3 questions2 papers2 years

Limit Theorems and Statistical Inference

Explore previous-paper coverage, trends and focused practice for Limit Theorems and Statistical Inference.

1 questions1 papers1 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Data Science and Artificial Intelligence (DA) 2026202614View paper
Data Science & Artificial Intelligence (DA) 2025202512View paper
Data Science & Artificial Intelligence (DA) 2024202411View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2024 · Data Science & Artificial Intelligence · Probability and Statistics · Random Variables and Distributions
Data Science & Artificial Intelligence (DA) 2024
Consider the following statements:
(i) The mean and variance of a Poisson random variable are equal.
(ii) For a standard normal random variable, the mean is zero and the variance is one.
Which ONE of the following options is correct?
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2
2025 · Data Science & Artificial Intelligence · Probability and Statistics · Probability Rules and Conditional Probability
Data Science & Artificial Intelligence (DA) 2025
Suppose \(X\) and \(Y\) are random variables. The conditional expectation of \(X\) given \(Y\) is denoted by \(E[X|Y]\). Then \(E[E[X|Y]]\) equals
Open complete paper
3
2026 · Data Science & Artificial Intelligence · Probability and Statistics · Probability Rules and Conditional Probability
Data Science and Artificial Intelligence (DA) 2026
Let \( M \) be a randomly chosen non-empty subset of \( S = \{1,2,3, \dots, 2026\} \).
Which of the following is the probability that the product of all the elements of \( M \) is even?
Open complete paper
4
2024 · Data Science & Artificial Intelligence · Probability and Statistics · Probability Rules and Conditional Probability
Data Science & Artificial Intelligence (DA) 2024
Three fair coins are tossed independently. \( T \) is the event that two or more tosses result in heads. \( S \) is the event that two or more tosses result in tails.
What is the probability of the event \( T \cap S \)?
Open complete paper
5
2025 · Data Science & Artificial Intelligence · Probability and Statistics · Random Variables and Distributions
Data Science & Artificial Intelligence (DA) 2025
Let \(X\) be a continuous random variable whose cumulative distribution function (CDF) \(F_X(x)\), for some \(t\), is given as follows: \[ F_X(x) = \begin{cases} 0 & x \le t \\ \frac{x - t}{4 - t} & t \le x \le 4 \\ 1 & x \ge 4 \end{cases} \] If the median of \(X\) is 3, then what is the value of \(t\)?
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6
2026 · Data Science & Artificial Intelligence · Probability and Statistics · Probability Rules and Conditional Probability
Data Science and Artificial Intelligence (DA) 2026
Suppose that a computer program provides a non-negative and integer-valued random solution to the equation \( n_1 + n_2 + n_3 + n_4 = 20 \).
Which of the following is the probability that all of \( n_1, n_2, n_3, n_4 \) in the provided solution are positive?
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