CAT Probability Questions with Soltutions PDF; Preparation Guide & Practice Questions

Updated on Jul 30, 2026 11:58 IST

By Abhishek Dhawan, Deputy Manager - MBA & BBA Content

CAT exam usually consists of 3-5 per cent direct questions based on Probability and combinatorics. About 10 per cent questions require an understanding of Probability. One can obtain a good score in the Quantitative Aptitude as well as DILR sections if they have good knowledge of the Probability chapter.

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Practice CAT Probability Questions

Get different types of Probability questions, including conditional probability, independent events, and PnC integration tasks.

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CAT Probability Practice Paper

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Candidates find Probability calculations within questions from PnC, Set Theory and DILR caselets. Candidates can access a PDF file for CAT Probability questions with solutions in this article. Also find a preparation guide for different types of CAT Probability questions below.

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CAT Probability Sample Questions with Solutions

Given below are some CAT Probability Combinatorics questions for practice:

Question 1

Difficulty: Easy
Question: How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3?
Options: [Type In The Answer (TITA)]

Question 2

Difficulty: Medium
Question: A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or a large-sized sandwich. Optionally, the customer may also add up to 2 out of 6 available sauces. The number of different ways in which an order can be placed for a sandwich is
Options:

Question 3

Difficulty: Medium
Question: In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
Options: [Type In The Answer (TITA)]

Question 4

Difficulty: Hard
Question: The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons, but no child gets an odd number of balloons, is
Options: [Type In The Answer (TITA)]

Question 5

Difficulty: Hard
Question: Let AB, CD, EF, GH, and JK be five diameters of a circle with centre at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and O so as to form a triangle?
Options: [Type In The Answer (TITA) - No options provided in the official paper]

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