Abhishek
Abhishek Dhawan
Deputy Manager - MBA & BBA Content
Updated on Jul 13, 2026 13:26 IST
A good hold on Probability also helps in advanced CAT topics like Permutations and Combinations, Set Theory, and DILR Applications. CAT exam typically has around 3 to 5 per cent direct questions from Probability, and around 10 per cent indirect questions. Find CAT Probability questions with solutions PDF here.

CAT exam typically has around 3 to 5 per cent direct questions from Probability, and around 10 per cent indirect questions. A good hold on Probability can help candidates obtain a good score in the Quantitative Aptitude as well as DILR sections. The test-taker must target solving each question related to Probability in less than 2 minutes.

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Practice CAT Probability Questions

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

Concept Analysis Detailed Solutions Free PDF
CAT Probability Practice Paper

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In the CAT exam, candidates find CAT Probability questions on Conditional Probability, Independent and Dependent Events, and Coin, Dice, or Card-based problems. A good hold on Probability also helps in advanced CAT topics like Permutations and Combinations, Set Theory, and DILR Applications such as games and tournaments, logic-based puzzles, and risk assessment caselets.

This article hosts some CAT Probability questions with solutions PDFs. Candidates can practice these CAT Probability questions with varied difficulty levels for holistic preparation for the CAT 2026 exam.

CAT Probability Questions with Solutions

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CAT Probability Sample Questions with Solutions

Check some CAT Probability questions below: 

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) - No options provided in the official paper]

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:

    1. 880

    2. 840

    3. 800

    4. 600

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) - No options provided in the official paper]

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) - No options provided in the official paper]

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]

🎁 Free QA Companion
Turn Probability into your Strongest CAT Topic

Find different types of Probability question themes and prep tips

⚠️ Common Question Types Mistakes to Avoid
CAT Probability Prep Tips & Tricks

Instant Access • Optimised for CAT 2026

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About the Author
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Abhishek Dhawan
Deputy Manager - MBA & BBA Content

Abhishek Dhawan is a content writer and editor with 7+ years of experience in education journalism. He holds a BA degree from the University of Delhi. At Shiksha, Abhishek primarily covers MBA and BBA entrance

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