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Mathematics - Probability

Practise 464 AP 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 AP EAMCET tests.

Probability has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 464 questions in all. 42% of them were easy, 51% moderate and 6% tough. Most of its questions came from 2022, with 59 questions that year. In the last three years (2022–2024) it had 164 questions across 28 papers, about 5.9 per paper.

The chapter's 10 topics are not weighted equally: Classical Definition of Probability (125 questions, 27%), Random Variable and its Probability Distribution (89 questions, 19%), and Bernoulli Trial and Binomial Distribution (60 questions, 13%) have been asked the most. Classical Definition of Probability has also led over the last five years, with 75 questions. Classical Definition of Probability has produced the most tough questions (6).

  1. 1Two students appeared simultaneously for an entrance exam. If the probability that the first student gets qualified in the exam is and the p27 May, 2025 (M)Addition and Subtraction Theorems
  2. 2For three events A, B and C of a sample space, P(exactly one of A or B occurs)= exactly one of B or C occurs exactly one of C or A occurs . 27 May, 2025 (M)Addition and Subtraction Theorems
  3. 3A bag P contains 4 red and 5 black balls, another bag Q contains 3 red and 6 black balls. If one ball is drawn at random from bag and two ba27 May, 2025 (M)Total Probability
  4. 4On every evening, a student either watches TV or reads a book. The probability of watching TV is . If he watches TV, the probability that he27 May, 2025 (M)Baye's Theorem
  5. 5Let X be the random variable taking values for a fixed positive integer n. If for , then the variance of X is27 May, 2025 (M)Random Variable and its Probability Distribution
  6. 6A radar system can detect an enemy plane in one out of ten consecutive scans. The probability that it can detect an enemy plane atleast twic27 May, 2025 (M)Bernoulli Trial and Binomial Distribution
  7. 7Three numbers are chosen from 1 to 30. The probability that they are not three consecutive numbers is26 May, 2025 (M)Classical Definition of Probability
  8. 8If two events A and B are such that and , then26 May, 2025 (M)Conditional Probability and Multiplication Theorem
  9. 9Two candidates A and B have attended an interview conducted by a recruitment board for two jobs. If the probability that canditate A will ge26 May, 2025 (M)Addition and Subtraction Theorems
  10. 10X denotes the number of times heads that occur in n tosses of a fair coin. If and are in arithmetic progression, the largest value of n is26 May, 2025 (M)Bernoulli Trial and Binomial Distribution
  11. 11The probability distribution of a random variable X is as follows. Then the mean of X is26 May, 2025 (M)Random Variable and its Probability Distribution
  12. 12and are two independent events of a random experiment and . If the probability that both and occur is and neither of them occurs is , then t26 May, 2025 (E)Independent Events
  13. 13Two dice are thrown and the sum of the numbers appeared on the dice is noted. If is the event of getting a prime number as their sum and is 26 May, 2025 (E)Classical Definition of Probability
  14. 14A family consists of 8 persons. If 4 persons are chosen at random and they are found to be 2 men and 2 women, then the probability that ther26 May, 2025 (E)Classical Definition of Probability
  15. 15The number of trials conducted in a binomial distribution is 6. If the difference between the mean and variance of this variate is , then th26 May, 2025 (E)Bernoulli Trial and Binomial Distribution
  16. 16Let with mean and variance . If and , then26 May, 2025 (E)Bernoulli Trial and Binomial Distribution
  17. 17A basket contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. If one fruit is picked out at random from each 24 May, 2025 (M)Conditional Probability and Multiplication Theorem
  18. 18Two cards are drawn from a pack of 52 playing cards one after the other without replacement. If the first card drawn is a queen, then the pr24 May, 2025 (M)Conditional Probability and Multiplication Theorem
  19. 19An item is tested on a device for its defectiveness. The probability that such an item is defective is 0.3. The device gives accurate result24 May, 2025 (M)Baye's Theorem
  20. 20In a school there are 3 sections A, B and C. Section A contains 20 girls and 30 boys, section B contains 40 girls and 20 boys and section C 24 May, 2025 (M)Baye's Theorem
  21. 21If the probability distribution of a random variable X is as follows, then the mean of X is24 May, 2025 (M)Random Variable and its Probability Distribution
  22. 22If X is a binomial variate with mean and variance , then24 May, 2025 (M)Bernoulli Trial and Binomial Distribution
  23. 23If 3 squares are chosen at random from the 64 squares of a chess board, then the probability that all of them lie along the same diagonal li23 May, 2025 (M)Classical Definition of Probability
  24. 24Three letters are chosen at random from the letters of the word VARIABLE and all possible three letter words (with or without meaning) are f23 May, 2025 (M)Classical Definition of Probability
  25. 25In a shoe rack there are 4 pairs of shoes and 4 shoes are drawn one after the other at random without replacement. Then the probability of g23 May, 2025 (M)Addition and Subtraction Theorems
  26. 26A rational number is selected at random from the distinct rational numbers of the form formed with p and q belonging to the set . The probab23 May, 2025 (M)Classical Definition of Probability
  27. 27The probability distribution of a discrete random variable X is given below X = x -1 0 1 2 P(X = x) Then the value of \(6 ( {x}^2 ) {P}( {X}23 May, 2025 (M)Random Variable and its Probability Distribution
  28. 28If the average number of accidents occuring at a particular junction on a highway in a week is 5, then the probability that atmost one accid23 May, 2025 (M)Total Probability
  29. 29There are 8 boys and 7 girls in a class room. If the names of all those children are written on paper slips and 3 slips are drawn at random 23 May, 2025 (E)Classical Definition of Probability
  30. 30A four member committee is to be formed from a group containing 9 men and 5 women. If a committee is formed randomly, then the probability t23 May, 2025 (E)Probability
  31. 31A die is thrown twice. Let A be the event of getting a prime number when the die is thrown first time and be the event of getting an even nu23 May, 2025 (E)Conditional Probability and Multiplication Theorem
  32. 32A bag contains 5 balls of unknown colours. There are equal chances that out of these five balls, there may be 0 or 1 or 2 or 3 or 4 or 5 red23 May, 2025 (E)Baye's Theorem
  33. 33If is a binomial variate satisfying the equation , then23 May, 2025 (E)Bernoulli Trial and Binomial Distribution
  34. 34The mean and variance of a binomial distrbution are and 5 respectively. If is an integer, then the possible values for are23 May, 2025 (E)Random Variable and its Probability Distribution
  35. 35The probability that a person A completes a work in a given time is and the probability that another person B completes the same work in the22 May, 2025 (M)Independent Events
  36. 36and are playing chess game with each other. The probability that wins the game is 0.6, the probability that he loses is 0.3 and the probabil22 May, 2025 (M)Bernoulli Trial and Binomial Distribution
  37. 37are three urns. contains 5 red, 3 white, 2 back balls; contains 4 red, 4 white, 2 black balls and contains 3 red, 4 white, 3 black balls. If22 May, 2025 (M)Total Probability
  38. 38If the probability distribution of a random variable is as follows, then 0 1 2 3 4 3K 5K22 May, 2025 (M)Random Variable and its Probability Distribution
  39. 39If follows Poisson distribution with variance 2, then22 May, 2025 (M)Total Probability
  40. 40An unbiased coin is tossed 8 times. The probability that head appears consecutively at least 5 times is22 May, 2025 (E)Classical Definition of Probability
  41. 41A box contains twelve balls of which 4 are red, 5 are green and 3 are white. If three balls are drawn at random simultaneously from the box,22 May, 2025 (E)Classical Definition of Probability
  42. 42There are three families has 2 boys and 1 girl; has 1 boy and 2 girls; has 1 boy and 1 girl. A family is randomly chosen and a child is chos22 May, 2025 (E)Baye's Theorem
  43. 43An urn A contains 4 white and 1 black ball; urn B contains 3 white and 2 black balls and urn C contains 2 white and 3 black balls. One ball 22 May, 2025 (E)Total Probability
  44. 44If the probability distribution of a discrete random variable X is given by22 May, 2025 (E)Random Variable and its Probability Distribution
  45. 45In a binomial distribution, if and , then22 May, 2025 (E)Probability
  46. 46If and are events of a random experiment such that21 May, 2025 (M)Addition and Subtraction Theorems
  47. 47Two cards are drawn at random from a pack of 52 playing cards. If both the cards drawn are found to be black in colour, then the probability21 May, 2025 (M)Conditional Probability and Multiplication Theorem
  48. 48A person is known to speak the truth in 3 out of 4 occasions. If he throws a die and reports that it is six, then the probability that it is21 May, 2025 (M)Baye's Theorem
  49. 49of the total employees of a factory are men. Among the employees of that factory, of men and of women are technical assistants. If an employ21 May, 2025 (M)Baye's Theorem
  50. 50If a discrete random variable X has the probability distribution , then21 May, 2025 (M)Random Variable and its Probability Distribution

Frequently Asked Questions

1.How many questions are available for Probability?

This chapter includes 464 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Probability has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 464 questions across 93 papers - about 5 per paper it appears in.

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

Of the 464 questions analysed for this chapter, 42% are easy, 51% moderate and 6% tough. 2022 had the most, with 59 questions.

5.Which topics in Probability should I focus on?

These topics have carried the most weightage in Probability:

  • Classical Definition of Probability - 125 questions (27%)
  • Random Variable and its Probability Distribution - 89 questions (19%)
  • Bernoulli Trial and Binomial Distribution - 60 questions (13%)
  • Classical Definition of Probability has produced the most tough questions (6).
6.Is Probability's weightage in AP EAMCET going up or down?

Across all 93 papers analysed, Probability has averaged about 5.0 questions per paper. In the last three years (2022–2024), that average has risen, at about 5.9 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.