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Mathematics - Probability

Practise 57 KCET 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 KCET tests.

Probability has been asked in 13 of the 20 years of KCET papers analysed (2007–2026), with 57 questions in all. 58% of them were easy, 33% moderate and 9% tough. Most of its questions came from 2025, with 6 questions that year. In the last three years (2024–2026) it had 14 questions across 3 papers, about 4.7 per paper.

The chapter's 8 topics are not weighted equally: Conditional Probability and Multiplication Theorem (12 questions, 21%), Classical Definition of Probability (12 questions, 21%), and Independent Events (8 questions, 14%) have been asked the most. Conditional Probability and Multiplication Theorem has also led over the last five years, with 4 questions. Bernoulli Trial and Binomial Distribution has produced the most tough questions (2).

  1. 1Probability of at least one of the events A and B occur is . If A and B occur simultaneously with probability , then is2026Addition and Subtraction Theorems
  2. 2Probability of occurrence of an event A is and that of B is . If A and B are mutually exclusive, then the probability of occurrence of neith2026Addition and Subtraction Theorems
  3. 3Probability of obtaining an even prime number on each die when a pair of dice is rolled is2026Classical Definition of Probability
  4. 4The probability that a man and his wife live after years are and respectively. The probability that neither the man nor his wife live after 2026Independent Events
  5. 5Recent studies suggest that of the world population is left handed. Depending on parents' hand usage, the chances of having left handed chil2026Total Probability
  6. 6A random experiment has five outcomes and . The probabilities of the occurrence of the outcomes and are respectively and such that . Then th2025Classical Definition of Probability
  7. 7A die has two face each with number ' 1 ', three faces each with number ' 2 ' and one face with number ' 3 '. If the die is rolled once, the2025Classical Definition of Probability
  8. 8Consider the following statements. Statement (I): If E and F are two independent events, then and are also independent. Statement (II): Two 2025Independent Events
  9. 9If and are two non-mutually exclusive events such that , then2025Conditional Probability and Multiplication Theorem
  10. 10If and are two events such that and , then which of the following is correct?2025Conditional Probability and Multiplication Theorem
  11. 11Meera visits only one of the two temples A and B in her locality. Probability that she visits temple A is . If she visits temple is the prob2025Baye's Theorem
  12. 12A die is thrown 10 times. The probability that an odd number will come up atleast once is2024Bernoulli Trial and Binomial Distribution
  13. 13A random variable has the following probability distribution: If the mean of the random variable is , then the variance is2024Random Variable and its Probability Distribution
  14. 14If a random variable follows the binomial distribution with parameters and , then is equal to2024Random Variable and its Probability Distribution
  15. 15A bag contains coins. It is known that of these coins have head on both sides whereas, the other coins are fair. One coin is selected at ran2023Total Probability
  16. 16Let and . A function is selected randomly. The probability that the function is an onto function is2023Classical Definition of Probability
  17. 17If and are events, such that and , then is2023Conditional Probability and Multiplication Theorem
  18. 18Find the mean number of heads in three tosses of a fair coin.2022Random Variable and its Probability Distribution
  19. 19If and are two events such that , and , then is2022Conditional Probability and Multiplication Theorem
  20. 20A pandemic has been spreading all over the world. The probabilities are 0.7 that there will be a lockdown, 0.8 that the pandemic is controll2022Total Probability
  21. 21If and are two independent events such that and , then find the value of .2022Independent Events
  22. 22Given that, and are two events such that and , then is equal to2021Classical Definition of Probability
  23. 23If and are three independent events such that , then (at least two of and occur) is equal to2021Independent Events
  24. 24Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6 the probability of getting a sum as 3 is2021Classical Definition of Probability
  25. 25A car manufacturing factory has two plants and . Plant manufactures of cars and plant manufactures of cars. of cars at plant and of cars at 2021Total Probability
  26. 26In a certain two families own cell phones, 15000 families own scooter and 15\% families own both. Taking into consideration that the familie2021Baye's Theorem
  27. 27If and then is equal to2021Classical Definition of Probability
  28. 28If a line makes an angle of with each of and -axis, then the acute angle made by -axis is2020Classical Definition of Probability
  29. 29Corner points of the feasible region determined by the system of linear constraints are and . Let , where, . Condition on and , so that the 2020Classical Definition of Probability
  30. 30The feasible region of an LPP is shown in the figure. If , then the maximum value of occurs at2020Conditional Probability and Multiplication Theorem
  31. 31A die is thrown 10 times, the probability that an odd number will come up at least one time is2020Baye's Theorem
  32. 32is equal to2020Independent Events
  33. 33A random variable ' \( X \) ' has the following probability distribution Then the value of \( k \) is2019Random Variable and its Probability Distribution
  34. 34If \( A \) and \( B \) are two events of a sample space \( S \) such that \( P(A)=0.2, P(B)=0.6 \) and \( P(A B)= \) \( 0.5 \) then \( P (A^2019Conditional Probability and Multiplication Theorem
  35. 35If ' \( X \) ' has a binomial distribution with parameters \( n=6, p \) and \( P(X=2)=12, P(X=3)=5 \) then \( P= \)2019Bernoulli Trial and Binomial Distribution
  36. 36A man speaks truth \( 2 \) out of \( 3 \) times. He picks one of the natural numbers in the set \( S=\{1,2, \), \( 3,4,5,6,7\} \) and report2019Conditional Probability and Multiplication Theorem
  37. 37Two letters are chosen from the letters of the word 'EQUATIONS'. The probability that one is vowel and the other is consonant is2019Independent Events
  38. 38For the probability distribution given by the standard deviation \( ( ) \) is2018Random Variable and its Probability Distribution
  39. 39A bag contains \( 17 \) tickets numbered from \( 1 \) to \( 17 \). A ticket is drawn at random, then another ticket isdrawn without replacin2018Conditional Probability and Multiplication Theorem
  40. 40A flashlight has \( 10 \) batteries out of which \( 4 \) are dead. If \( 3 \) batteries are selected without replacement andtested, then the2018Conditional Probability and Multiplication Theorem
  41. 41The probability of happening of an event \( A \) is \( 0.5 \) and that of \( B \) is \( 0.3 \). If \( A \) and \( B \) are mutually exclusiv2018Classical Definition of Probability
  42. 42In a simultaneous throw of a pair of dice, the probability of getting a total more than \( 7 \) is2018Addition and Subtraction Theorems
  43. 43If \( A \) and \( B \) are mutually exclusive events, given that \( {P}( {A})= {3}{5}, P(B)= {1}{5} \), then \( {P}( {A} \) or \( {B}) \) is2018Addition and Subtraction Theorems
  44. 44Let \( f: R R \) be defined by \( f(x)=x^{4} \), then2017Classical Definition of Probability
  45. 45If \( | {array}{ll}3 & x \\ x & 1 {array} |= | {array}{ll}3 & 2 \\ 4 & 1 {array} | \) then \( x \) is equal to2017Random Variable and its Probability Distribution
  46. 46The distance of the point \( (-2,4,-5) \) from the line \( {x+3}{3}= {y-4}{5}= {z+8}{6} \) is2017Independent Events
  47. 47If \( P(A B)= {7}{10} \) and \( P(B)= {17}{20} \), where \( P \) stands for probability then \( P(A B) \) is equal to O examsnet com2016Conditional Probability and Multiplication Theorem
  48. 48Two cards are drawn at random from a pack of \( 52 \) cards. The probability of these two being 'Aces" is2016Classical Definition of Probability
  49. 49Two dice are thrown simultaneously, the probability of obtaining a total score of \( 5 \) is2016Total Probability
  50. 50\( _{0}^{ / 4} ( { x+ x}{ x} ) d x \)2015Total Probability

Frequently Asked Questions

1.How many questions are available for Probability?

This chapter includes 57 questions compiled from KCET papers spanning 2014 to 2026.

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

These are KCET 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 KCET Mathematics?

Probability has appeared in 13 of the 20 years of KCET papers covered here, with 57 questions across 13 papers - about 4 per paper it appears in.

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

Of the 57 questions analysed for this chapter, 58% are easy, 33% moderate and 9% tough. 2025 had the most, with 6 questions.

5.Which topics in Probability should I focus on?

These topics have carried the most weightage in Probability:

  • Conditional Probability and Multiplication Theorem - 12 questions (21%)
  • Classical Definition of Probability - 12 questions (21%)
  • Independent Events - 8 questions (14%)
  • Bernoulli Trial and Binomial Distribution has produced the most tough questions (2).
6.Is Probability's weightage in KCET going up or down?

Across all 13 papers analysed, Probability has averaged about 4.4 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 4.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.