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Mathematics - Probability

Practise 309 TS EAMCET previous year questions on Probability, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Probability has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 309 questions in all. 39% of them were easy, 52% moderate and 9% tough. Most of its questions came from 2020, with 38 questions that year. In the last three years (2022–2024) it had 78 questions across 17 papers, about 4.6 per paper.

The chapter's 9 topics are not weighted equally: Classical Definition of Probability (81 questions, 26%), Random Variable and its Probability Distribution (71 questions, 23%), and Conditional Probability and Multiplication Theorem (47 questions, 15%) have been asked the most. Classical Definition of Probability has also led over the last five years, with 38 questions. Random Variable and its Probability Distribution has produced the most tough questions (9).

  1. 1If two smallest squares are chosen at random on a chess board then the probability of getting these squares such that they do not have a sid04 May, 2025 (M)Classical Definition of Probability
  2. 2Let A and B be two events in a random experiment. If , and then04 May, 2025 (M)Addition and Subtraction Theorems
  3. 3An urn contains 7 red, 5 white and 3 black balls. Three balls are drawn randomly one after the other without replacement. If it is known tha04 May, 2025 (M)Conditional Probability and Multiplication Theorem
  4. 4The range of a discrete random variable X is and the probabilities of its elements are given by and . Then04 May, 2025 (M)Random Variable and its Probability Distribution
  5. 5Among every 8 units of a product, one is likely to be defective. If a consumer has ordered 5 units of that product, then the probability tha04 May, 2025 (M)Bernoulli Trial and Binomial Distribution
  6. 6and are two events of a random experiment such that , , then04 May, 2025 (E)Conditional Probability and Multiplication Theorem
  7. 7There are two boxes each containing 10 balls. In each box, few of them are black balls and rest are white. A ball is drawn at random from on04 May, 2025 (E)Baye's Theorem
  8. 8In a shelf there are three mathematics and two physics books. A student takes a book randomly. If he randomly takes, successively for three 04 May, 2025 (E)Random Variable and its Probability Distribution
  9. 9In a Poisson distribution, if and , then the mean of the distribution is04 May, 2025 (E)Baye's Theorem
  10. 10If a number is drawn randomly from the set of numbers , then the probability that number that is drawn satisfies the inequation is03 May, 2025 (M)Classical Definition of Probability
  11. 11If a coin is tossed seven times, then the probability of getting exactly three heads such that no two heads occur consecutively is03 May, 2025 (M)Classical Definition of Probability
  12. 12Two cards are drawn randomly from a pack of 52 playing cards one after the other with replacement. If is the event of drawing a face card in03 May, 2025 (M)Conditional Probability and Multiplication Theorem
  13. 13If X is a random variable with probability distribution , , to , then03 May, 2025 (M)Random Variable and its Probability Distribution
  14. 14If a Poisson variate satisfies the relation , then03 May, 2025 (M)Baye's Theorem
  15. 15Out of the given 25 consecutive positive integers, three integers are drawn. If the least integer among given 25 integers is an odd number, 03 May, 2025 (E)Classical Definition of Probability
  16. 16If three dice are thrown at a time, then the probability of getting the sum of the numbers on them as a prime number is03 May, 2025 (E)Classical Definition of Probability
  17. 17Three companies C1, C2, C3 produce car tyres. A car manufacturing company buys of its requirement from C1, from C2 and from C3. The company 03 May, 2025 (E)Baye's Theorem
  18. 18The probability distribution of a random variable X is given below. Then, the standard deviation of X is 2 3 5 7 12 3k k k 2k k03 May, 2025 (E)Random Variable and its Probability Distribution
  19. 19If the mean and variance of a binomial distribution are and respectively, then03 May, 2025 (E)Bernoulli Trial and Binomial Distribution
  20. 20If three smallest squares are chosen at random on a chess board then the probability of getting them in such a way that they are all togethe02 May, 2025 (M)Classical Definition of Probability
  21. 21If three cards are drawn randomly from a pack of 52 playing cards then the probability of getting exactly one spade card, exactly one king a02 May, 2025 (M)Classical Definition of Probability
  22. 22Urn A contains 6 white and 2 black balls; urn B contains 5 white and 3 black balls and urn C contains 4 white and 4 black balls. If an urn i02 May, 2025 (M)Total Probability
  23. 23If three dice are thrown, then the mean of the sum of the numbers appearing on them is02 May, 2025 (M)Random Variable and its Probability Distribution
  24. 24If is a binomial variate and then02 May, 2025 (M)Bernoulli Trial and Binomial Distribution
  25. 25Let be a matrix. Three elements of this matrix P are selected at random. A is the event of having the three elements whose sum is odd. B is 02 May, 2025 (E)Conditional Probability and Multiplication Theorem
  26. 26are the events in a random experiment. If , , then02 May, 2025 (E)Baye's Theorem
  27. 27are the events in a random experiment. If , then02 May, 2025 (E)Conditional Probability and Multiplication Theorem
  28. 28Two persons A and B play a game by throwing two dice. If the sum of the numbers appeared on the two dice is even, A will get point and B wil02 May, 2025 (E)Random Variable and its Probability Distribution
  29. 29A typist claims that he prepares a typed page with typo errors of 1 per 10 pages. In a typing assignment of 40 pages, if the probability tha02 May, 2025 (E)Bernoulli Trial and Binomial Distribution
  30. 30The numbers are written on six distinct paper chits. If 3 of them are chosen at random, then the probability that the sum of the numbers on 11 May, 2024 (M)Independent Events
  31. 31If 4 letters are selected at random from the letters of the word PROBABILITY, then the probability of getting a combination of letters in wh11 May, 2024 (M)Total Probability
  32. 32If two dice are rolled, then the probability of getting a multiple of 3 as the sum of the numbers appeared on the top faces of the dice, if 11 May, 2024 (M)Conditional Probability and Multiplication Theorem
  33. 33If a random variable has the following probability distribution, then its variance is11 May, 2024 (M)Random Variable and its Probability Distribution
  34. 34The mean and variance of a binomial variate are and respectively. If , then11 May, 2024 (M)Random Variable and its Probability Distribution
  35. 35If two dice are thrown, then the probability of getting coprime numbers on the dice is10 May, 2024 (M)Classical Definition of Probability
  36. 36If two cards are drawn at random simultaneously from a well shuffled pack of 52 playing cards, then the probability of getting a card having10 May, 2024 (M)Classical Definition of Probability
  37. 37Bag 'P' contains 3 white, 2 red, 5 blue balls and bag 'Q' contains 2 white, 3 red, 5 blue balls. A ball is chosen at random from ' P ' and i10 May, 2024 (M)Conditional Probability and Multiplication Theorem
  38. 38If the probability distribution of a random variable is as follows, then the variance of is {array}{|l|c|c|c|c|} =x & 2 & 3 & 5 & 9 \\ (X=x)10 May, 2024 (M)Random Variable and its Probability Distribution
  39. 39The mean of a binomial variate is 1 . If and , then the variance of the distribution is10 May, 2024 (M)Bernoulli Trial and Binomial Distribution
  40. 40If three numbers are randomly selected from the set , , then the probability that they are in arithmetic progression is10 May, 2024 (E)Classical Definition of Probability
  41. 41The probability that exactly 3 heads appear in six tosses of an unbiased coin, given that the first three tosses resulted in 2 or more heads10 May, 2024 (E)Total Probability
  42. 42Astudent has to write the words ABILITY, PROBABILITY, FACILITY, MOBILITY. He wrote one word and erased all the letters in it except two cons10 May, 2024 (E)Baye's Theorem
  43. 43Two cards are drawn at random one after the other with replacement from a pack of playing cards. If X is the random variable denoting the nu10 May, 2024 (E)Random Variable and its Probability Distribution
  44. 44If is a binomial variate and , then10 May, 2024 (E)Bernoulli Trial and Binomial Distribution
  45. 45When 2 dice are thrown, it is observed that the sum of the numbers appeared on the top faces of both the dice is a prime number. Then the pr09 May, 2024 (M)Classical Definition of Probability
  46. 46If 2 cards drawn at random from a well shuffled pack of 52 playing cards are from the same suit, then the probability of getting a face card09 May, 2024 (M)Independent Events
  47. 47A dealer gets refrigerators from 3 different manufacturing companies and of his stock is from from and from . The percentages of receiving d09 May, 2024 (M)Total Probability
  48. 48If the probability that a student selected at random from a particular college is good at mathematics is 0.6 , then the probability of havin09 May, 2024 (M)Classical Definition of Probability
  49. 49If on an average 4 customers visit a shop in an hour, then the probability that more than 2 customers visit the shop in a specific hour is09 May, 2024 (M)Total Probability
  50. 50Among the 5 married couples, if the names of 5 men are matched with the names of their wives randomly, then the probability that no man is m09 May, 2024 (E)Conditional Probability and Multiplication Theorem

Frequently Asked Questions

1.How many questions are available for Probability?

This chapter includes 309 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Probability has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 309 questions across 64 papers - about 5 per paper it appears in.

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

Of the 309 questions analysed for this chapter, 39% are easy, 52% moderate and 9% tough. 2020 had the most, with 38 questions.

5.Which topics in Probability should I focus on?

These topics have carried the most weightage in Probability:

  • Classical Definition of Probability - 81 questions (26%)
  • Random Variable and its Probability Distribution - 71 questions (23%)
  • Conditional Probability and Multiplication Theorem - 47 questions (15%)
  • Random Variable and its Probability Distribution has produced the most tough questions (9).
6.Is Probability's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Probability has averaged about 4.8 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 4.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.