Mathematics - Probability
Practise 23 Manipal (MET) previous year questions on Probability, compiled from papers spanning 2010 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 Manipal (MET) tests.
Probability has been asked in 10 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 23 questions in all. 52% of them were easy, 35% moderate and 13% tough. Most of its questions came from 2020, with 4 questions that year. In the last three years (2022–2024) it had 3 questions across 2 papers, about 1.5 per paper.
The chapter's 6 topics are not weighted equally: Classical Definition of Probability (7 questions, 30%), Bernoulli Trial and Binomial Distribution (6 questions, 26%), and Independent Events (3 questions, 13%) have been asked the most. Classical Definition of Probability has also led over the last five years, with 4 questions. Bernoulli Trial and Binomial Distribution has produced the most tough questions (1).
- 1An unbaised coin is tossed times. If the probability of getting 5 heads is equal to the probability of getting 6 heads, then the probability2023Bernoulli Trial and Binomial Distribution
- 2A multiple choice examination has 5 questions. Each question has 4 alternative answer of which exactly one is correct. The probability that 2022Classical Definition of Probability
- 3If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is , then is equal to .....2022Classical Definition of Probability
- 4If and are two such events that , then which of the following is true?2020Classical Definition of Probability
- 5Probability of getting a total of 7 or 9 in a single throw of two dice is2020Total Probability
- 6If things are distributed among a men and women. Then, the chance that the number of things received by men is odd, is2020Total Probability
- 7A die is rolled three times. The probability of getting a larger number than the previous number is2020Classical Definition of Probability
- 8One mapping (function) is selected at random from all the mappings of the set into itself. The probability that the mapping selected is one-2019Classical Definition of Probability
- 9If follows a binomial distribution with parameters and , then is maximum when equals2019Bernoulli Trial and Binomial Distribution
- 10If is2018Random Variable and its Probability Distribution
- 11If follows a binomial distribution with parameters and , then is equal to2016Random Variable and its Probability Distribution
- 12Fifteen coupons are numbered 1, 2, ..., 15, respectively. Seven coupons are selected at random one at a time with replacement. The probabili2016Classical Definition of Probability
- 13Let and be two events such that and , where stands for complement of event . Then, the events and are2016Independent Events
- 14Let denotes the number of times heads occur in tosses of a fair coin. If , and are in AP, then the value of is2015Bernoulli Trial and Binomial Distribution
- 15Numbers are written down on each of the cards and . One number is selected at random from each of the cards. The probability that the number2015Classical Definition of Probability
- 16Let and be two urns such that contains 3 white, 2 red balls and contains only 1 white ball. A fair coin is tossed. If head appears, then 1 b2015Total Probability
- 17Out of 50 tickets numbered , one ticket is drawn randomly, the probability of the ticket having the product of its digits 7 , given that the2014Conditional Probability and Multiplication Theorem
- 18In a trial, the probability of success is twice the probability of failure. In six trial, the probability of atleast four successes will be2014Bernoulli Trial and Binomial Distribution
- 19If the integers and are chosen at random between 1 and 100 , then the probability that a number of the form is divisible by 5 , equals2014Conditional Probability and Multiplication Theorem
- 20A man and a woman appears in an interview for two vacancies in the same post. The probability of man's selection is and that of the woman's 2012Independent Events
- 21For two events and , it is given that and . Then2010Independent Events
- 22The least number of times a fair coin must be tossed so that the probability of getting atleast one head is atleast 0.8 is2010Bernoulli Trial and Binomial Distribution
- 23If follows a binomial distribution with parameters and , then is maximum when equals2010Bernoulli Trial and Binomial Distribution
Frequently Asked Questions
1.How many questions are available for Probability?
This chapter includes 23 questions compiled from Manipal (MET) papers spanning 2010 to 2023.
2.Are these questions only from Manipal (MET), or from other exams too?
These are Manipal (MET) 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 Manipal (MET) Mathematics?
Probability has appeared in 10 of the 15 years of Manipal (MET) papers covered here, with 23 questions across 10 papers - about 2 per paper it appears in.
4.What is the difficulty level of Probability questions in Manipal (MET)?
Of the 23 questions analysed for this chapter, 52% are easy, 35% moderate and 13% tough. 2020 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 - 7 questions (30%)
- Bernoulli Trial and Binomial Distribution - 6 questions (26%)
- Independent Events - 3 questions (13%)
- Bernoulli Trial and Binomial Distribution has produced the most tough questions (1).
6.Is Probability's weightage in Manipal (MET) going up or down?
Across all 10 papers analysed, Probability has averaged about 2.3 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.