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Mathematics - Probability

Practise 92 COMEDK previous year questions on Probability, compiled from papers spanning 2014 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Probability has been asked in 9 of the 15 years of COMEDK papers analysed (2012–2026), with 92 questions in all. 29% of them were easy, 63% moderate and 8% tough. Most of its questions came from 2024, with 21 questions that year. In the last three years (2024–2026) it had 50 questions across 10 papers, about 5 per paper.

The chapter's 8 topics are not weighted equally: Classical Definition of Probability (41 questions, 45%), Conditional Probability and Multiplication Theorem (19 questions, 21%), and Addition and Subtraction Theorems (8 questions, 9%) have been asked the most. Classical Definition of Probability has also led over the last five years, with 32 questions. Baye's Theorem has produced the most tough questions (3).

  1. 1Advika chooses one of three scarves every morning: Red , Blue , or Green . • The probability she chooses Red is 20%. • The probability she c09 May, 2026 (S1)Conditional Probability and Multiplication Theorem
  2. 2An engineering team is testing a new prototype drone. The drone has constant success rate of for every autonomous landing attempt. Two engin09 May, 2026 (S1)Bernoulli Trial and Binomial Distribution
  3. 3A teacher has two jars of candy on her desk: Jar 1: Contains 3 Strawberry candies and 2 Orange candies. Jar 2: Contains 1 Strawberry candy a09 May, 2026 (S1)Conditional Probability and Multiplication Theorem
  4. 4Samhita faces a three-headed dragon . She wins a 'Tactical medal' if she manages to defeat exactly one of the three heads. The battle procee09 May, 2026 (S1)Conditional Probability and Multiplication Theorem
  5. 5The odds against Arjun solving a problem are 5:2 and the odds in favour of Bhavana solving the same problem are 3:4 . What is the probabilit09 May, 2026 (S1)Classical Definition of Probability
  6. 6A coffee roaster has 12 rare coffee beans with intensity scores ranked from 1 (mildest) to 12 (strongest) . You choose 7 beans at random and09 May, 2026 (S2)Classical Definition of Probability
  7. 7Vishnu has two jars of marbles, Jar A and Jar B. Jar A contains 3 yellow marbles and 2 green marbles. Jar B contains 4 yellow marbles and 3 09 May, 2026 (S2)Classical Definition of Probability
  8. 8A company is migrating its database, and two software engineers, Ishaan and Kavya , take turns running a data-sync script that has a constan09 May, 2026 (S2)Independent Events
  9. 9If , and . Then09 May, 2026 (S2)Addition and Subtraction Theorems
  10. 10Cards are numbered from 12 to 51. Two cards are drawn one after the other without replacement. Find the probability that one card is a multi09 May, 2026 (S2)Classical Definition of Probability
  11. 11Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The prob25 May, 2025 (Shift)Classical Definition of Probability
  12. 12A and B play a game where each is asked to select a number from 1 to 25 . If the two numbers match, both will win a prize. The probability t25 May, 2025 (Shift)Classical Definition of Probability
  13. 13From the set two numbers ' ' and ' ' are chosen at random. The probability that is an integer is25 May, 2025 (Shift)Classical Definition of Probability
  14. 14The mean of the numbers obtained on throwing a die having written '1' on three faces, '2' on two faces and '5' on one face is:25 May, 2025 (Shift)Random Variable and its Probability Distribution
  15. 15For the box contains ' ' red balls and white balls. Let and . A box is selected at random, and a ball is drawn from it. If a red ball is dra25 May, 2025 (Shift)Total Probability
  16. 16Three fair dice are thrown. What is the probability of getting a total of 15 given that they exhibit three different numbers that are in ari10 May, 2025 (S1)Conditional Probability and Multiplication Theorem
  17. 17In an entrance test, there are multiple choice questions. There are four possible answers to each question of which only one is correct. The10 May, 2025 (S1)Baye's Theorem
  18. 18A person writes four letters and address four envelopes. If the letters are placed in the envelopes at random, then the probability that not10 May, 2025 (S1)Classical Definition of Probability
  19. 19Vasant and Jothi play a game with a coin. Vasant stakes ₹1 and throw the coins four times. If he throws four heads, he gets his stake and ₹310 May, 2025 (S1)Random Variable and its Probability Distribution
  20. 20Let and be two events such that one of the two events must occur. Given that the chance of occurrence of is the chance of occurrence of , th10 May, 2025 (S1)Classical Definition of Probability
  21. 21A bag contains coins. It is known that one of these coins has a head on both sides, whereas the other coins are fair. One of these coins is 10 May, 2025 (S2)Conditional Probability and Multiplication Theorem
  22. 22In a kabaddi league, two matches are being played between Jaipur and Delhi. It is assumed that the outcomes of the two games are independent10 May, 2025 (S2)Independent Events
  23. 23Three bags contain a number of red and white balls are as follows. Bag I: 3 red balls Bag II: 2 red balls and 1 white ball Bag III: 3 White 10 May, 2025 (S2)Baye's Theorem
  24. 24If for two events and and then10 May, 2025 (S2)Conditional Probability and Multiplication Theorem
  25. 25Five persons entered the lift cabin on the ground floor of an eight-floor apartment. Suppose that each of them independently and with equal 10 May, 2025 (S2)Classical Definition of Probability
  26. 26In a game, a man wins ₹ 1000 if he gets an even number greater than or equal to 4 on a fair dice and loses ₹ 200 for getting any other numbe10 May, 2025 (S3)Random Variable and its Probability Distribution
  27. 27A pot contains 5 red and 2 green balls. A ball is drawn at random from this pot. If a drawn ball is green, then a red ball is added to the p10 May, 2025 (S3)Total Probability
  28. 28Two numbers are selected at random from integers 1 to 9 . If their sum is even, what is the probability that both the numbers are odd?10 May, 2025 (S3)Conditional Probability and Multiplication Theorem
  29. 29If A and B are two events such that , then find the value of10 May, 2025 (S3)Conditional Probability and Multiplication Theorem
  30. 30The probability of inviting three friends on 5 consecutive days, exactly one friend a day and no friend is invited on more than two days is2024 (Afternoon Shift)Classical Definition of Probability
  31. 31A and B are two independent events. The probability of their simultaneous occurrence is and the probability that neither of them occurs is .2024 (Afternoon Shift)Independent Events
  32. 32P and Q are considering to apply for a job. The probability that P applies for the job is . The probability that applies for the job given t2024 (Afternoon Shift)Conditional Probability and Multiplication Theorem
  33. 33There are some baskets. The chances of picking a loaded basket and choosing a red coloured one is 0.2. For every 100 tries to pick one baske2024 (Afternoon Shift)Addition and Subtraction Theorems
  34. 34A determinant of the second order is made with elements 0 and 1 . What is the probability that the determinant made is non-negative?2024 (Afternoon Shift)Classical Definition of Probability
  35. 35Suppose we have three cards identical in form except that both sides of the first card are coloured red, both sides of the second are colour2024 (Evening Shift)Conditional Probability and Multiplication Theorem
  36. 36Let and be two events such that and and then, which one of the following is not true?2024 (Evening Shift)Conditional Probability and Multiplication Theorem
  37. 37A coin is tossed until a head appears or until the coin has been tossed three times. Given that 'head' does not appear on the first toss, wh2024 (Evening Shift)Conditional Probability and Multiplication Theorem
  38. 38While shuffling a pack of cards, 3 cards were accidently dropped, then find the probability that the missing cards belong to different suits2024 (Evening Shift)Classical Definition of Probability
  39. 39What is the probability of a randomly chosen 2 digit number being divisible by 3 ?2024 (Evening Shift)Classical Definition of Probability
  40. 40If four digit number is formed using the digit 0 , with no repetition. Then the probability that the number is both even and divisible by 3 2024 (Memory Based)Classical Definition of Probability
  41. 41If and are events, such that and then is2024 (Memory Based)Classical Definition of Probability
  42. 42Three vertices are chosen randomly from the 10 vertices of a regular 10 sided polygon. The probability that they form the vertices of an iso2024 (Memory Based)Classical Definition of Probability
  43. 43A number is choosen at random from , . Let is a perfect square is odd number and is a even prime number then, correct order of their probabi2024 (Memory Based)Classical Definition of Probability
  44. 44For a torch has 10 batteries are available out of which 4 are dead. If 3 batteries are selected without replacement and tested, then the pro2024 (Memory Based)Total Probability
  45. 45A six digit number is formed by using , 5,6 with no repetition. Then the probability that number 1 and 3 always come together.2024 (Memory Based)Classical Definition of Probability
  46. 46If the events A and B are mutually exclusive events such that and then the possible values of lies in the interval2024 (Morning Shift)Addition and Subtraction Theorems
  47. 47A random variable X with probability distribution is given below 2 3 4 52024 (Morning Shift)Random Variable and its Probability Distribution
  48. 48The probability that a randomly chosen number from one to twelve is a divisor of twelve is2024 (Morning Shift)Classical Definition of Probability
  49. 49An urn contains 2 white and 2 black balls. A ball is drawn at random. If it is white it is not replaced into the urn. Otherwise it is replac2024 (Morning Shift)Total Probability
  50. 50A and B each have a calculator which can generate a single digit random number from the set . They can generate a random number on their cal2024 (Morning Shift)Conditional Probability and Multiplication Theorem

Frequently Asked Questions

1.How many questions are available for Probability?

This chapter includes 92 questions compiled from COMEDK papers spanning 2014 to 2026.

2.Are these questions only from COMEDK, or from other exams too?

These are COMEDK questions specifically for the Probability chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Probability an important chapter for COMEDK Mathematics?

Probability has appeared in 9 of the 15 years of COMEDK papers covered here, with 92 questions across 18 papers - about 5 per paper it appears in.

4.What is the difficulty level of Probability questions in COMEDK?

Of the 92 questions analysed for this chapter, 29% are easy, 63% moderate and 8% tough. 2024 had the most, with 21 questions.

5.Which topics in Probability should I focus on?

These topics have carried the most weightage in Probability:

  • Classical Definition of Probability - 41 questions (45%)
  • Conditional Probability and Multiplication Theorem - 19 questions (21%)
  • Addition and Subtraction Theorems - 8 questions (9%)
  • Baye's Theorem has produced the most tough questions (3).
6.Is Probability's weightage in COMEDK going up or down?

Across all 18 papers analysed, Probability has averaged about 5.1 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 5.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.