Jump to a section

Mathematics - Probability

Practise 33 VITEEE previous year questions on Probability, compiled from papers spanning 2006 to 2023. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Probability has been asked in 13 of the 18 years of VITEEE papers analysed (2006–2024), with 33 questions in all. 27% of them were easy, 45% moderate and 27% tough. Most of its questions came from 2016, with 4 questions that year. In the last three years (2022–2024) it had 6 questions across 2 papers, about 3 per paper.

The chapter's 7 topics are not weighted equally: Classical Definition of Probability (10 questions, 30%), Random Variable and its Probability Distribution (9 questions, 27%), and Conditional Probability and Multiplication Theorem (7 questions, 21%) have been asked the most. Over the last five years the most frequent topics have been Conditional Probability and Multiplication Theorem (2), Random Variable and its Probability Distribution (2), and Bernoulli Trial and Binomial Distribution (1). Conditional Probability and Multiplication Theorem has produced the most tough questions (3).

  1. 1By examining the chest X-ray, the probability that TB is detected when a person is actually suffering is 0.99 . The probability of an health2023Conditional Probability and Multiplication Theorem
  2. 2In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is \( {5}{6}\). Then, the probability tha2023Classical Definition of Probability
  3. 3For the probability density function \(f(x)= {cases}2 e^{-2 x} & , x > 0 \\ 0 & , x 0 {cases}\) \(F(2)\) is equal to2023Random Variable and its Probability Distribution
  4. 4Two persons throw a die alternately till one of them gets a 'three' and wins the game. The ratio of their respective probabilities of winnin2022Conditional Probability and Multiplication Theorem
  5. 5If the mean and variance of a binomial variate \(x\) are respectively \( {35}{6}\) and \( {35}{36}\), then the probability of \(x > 6\) is :2022Random Variable and its Probability Distribution
  6. 6If \( {X}\) follows Binomial distribution with mean 3 and variance 2 , then \(P(X 8)\) is equal to :2022Bernoulli Trial and Binomial Distribution
  7. 7Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is2019Classical Definition of Probability
  8. 8It is given that the events and are such that and Then is2019Conditional Probability and Multiplication Theorem
  9. 9If and are events such that and and then I. II. III. or2018Addition and Subtraction Theorems
  10. 10A signal which can be green or red with probability and respectively, is received by station A and then trasmitted to station B. The probabi2018Baye's Theorem
  11. 11The mean and variance of a random variable having binomial distribution are 4 and 2 respectively, then is2018Random Variable and its Probability Distribution
  12. 12A and B are two independent witnesses (i.e. there is no collision between them) in a case. The probability that A will speak the truth is an2017Baye's Theorem
  13. 13and are events such that , then is2017Addition and Subtraction Theorems
  14. 14A random variable has the probability distribution {array}{|c|c|c|c|c|c|c|c|c|} {X} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ {p}( {X}) & 0.15 & 0.2017Random Variable and its Probability Distribution
  15. 15The probability of India winning a test match against Australia is assuming independence from match to match. The probability that in a matc2016Conditional Probability and Multiplication Theorem
  16. 16If the mean of a binomial distribution is 25 , then its standard deviation lies in the interval2016Random Variable and its Probability Distribution
  17. 17While shuffling a pack of 52 playing cards, 2 are accidentally dropped. The probability that the missing cards to be of different colours is2016Conditional Probability and Multiplication Theorem
  18. 18A box contains 20 identical balls of which 10 are blue and 10 are green. The balls are drawn at random from the box one at a time with repla2016Bernoulli Trial and Binomial Distribution
  19. 19If are three events associated with a random experiment, then is2015Conditional Probability and Multiplication Theorem
  20. 20The probability of atleast one double six being thrown in throws with two ordinary dice is greater than . Then, the least numerical value of2015Total Probability
  21. 21If the mean and variance of a binomial distribution are 4 and 2 , respectively. Then, the probability of atleast 7 successes is2015Random Variable and its Probability Distribution
  22. 22From a city population, the probability of selecting a male or smoker is , a male smoker is and a male, if a smoker is already selected, is 2015Conditional Probability and Multiplication Theorem
  23. 23If the integers and are chosen at random from 1 to 100 , then the probability that a number of the form is divisible by 5 , equals to2014Classical Definition of Probability
  24. 24Let denote the sum of the numbers obtained when two fair dice are rolled. The variance and standard deviation of are2014Random Variable and its Probability Distribution
  25. 25A four digit number is formed by the digits 1,2 , 3,4 with no repetition. The probability that the number is odd, is2014Classical Definition of Probability
  26. 26If two events and . If odds against are as and those in favour of are as , then2013Classical Definition of Probability
  27. 27The probability that atleast one of the events A and occurs is . If and occur simultaneously with probability , then is2012Classical Definition of Probability
  28. 28A die is rolled twice and the sum of the numbers appearing on them is observed to be 7 . What is the conditional probability that the number2011Classical Definition of Probability
  29. 29If is a poisson variate such that , then is equal to2011Random Variable and its Probability Distribution
  30. 30The equation of straight line through the intersection of line and and passing through the origin is2010Classical Definition of Probability
  31. 31The line joining to is divided internally in the ratio at . If varies, then the locus of is2010Random Variable and its Probability Distribution
  32. 32If is a normal to the parabola , then the value of , is2010Classical Definition of Probability
  33. 33Let , then the values of for which inverse of A does not exist2006Classical Definition of Probability

Frequently Asked Questions

1.How many questions are available for Probability?

This chapter includes 33 questions compiled from VITEEE papers spanning 2006 to 2023.

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

These are VITEEE 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 VITEEE Mathematics?

Probability has appeared in 13 of the 18 years of VITEEE papers covered here, with 33 questions across 13 papers - about 3 per paper it appears in.

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

Of the 33 questions analysed for this chapter, 27% are easy, 45% moderate and 27% tough. 2016 had the most, with 4 questions.

5.Which topics in Probability should I focus on?

These topics have carried the most weightage in Probability:

  • Classical Definition of Probability - 10 questions (30%)
  • Random Variable and its Probability Distribution - 9 questions (27%)
  • Conditional Probability and Multiplication Theorem - 7 questions (21%)
  • Conditional Probability and Multiplication Theorem has produced the most tough questions (3).
6.Is Probability's weightage in VITEEE going up or down?

Across all 13 papers analysed, Probability has averaged about 2.5 questions per paper. In the last three years (2022–2024), that average has risen, at about 3.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.