CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its official website. Competency-focused questions can be helpful for students to secure good marks while referring and practicing them. It will help students to get familiar with the style and format of questions which are expected to appear in the final examinations.
In this article you will find specifically for Class 12 Maths Chapter 13 Probability downloadable PDF link. At the end of this article, a free PDF link has been attached for the students to access and download.
CBSE Class 12 Maths Chapter 13 Competency-Based Questions
The chapter 13 CBQs for Class 12 Maths are given below. The questions provided here are MCQs whose complete PDF is attached at the end of these questions along with Volume 2 with free response questions.
Q: 1 Which of the following represents a Bernoulli trial?
i)Tossing a coin until a tail is obtained
ii)Recording eye colours found in a group of 500 people.
iii)Asking a random sample of 50 people if they have ever been to Germany.
iv)A bag contains 8 red marbles and 5 blue marbles. A marble is picked from the bag 5 times without replacement.
Q: 2 Study the following experiments.
Experiment 1:
A fair coin is flipped 7 times with the objective of getting heads each time. The outcome is heads 5 times out of 7.
Experiment 2:
A pen is selected at random from a box 4 times with the objective of getting a red pen. The box contains 2 blue, 2 red and 2 black pens and the selected peg is replaced after each trial.
In which experiments) is/are the trials Bernoulli trials?
i)Experiment 1
ii)both Experiment 1 and Experiment 2
iii)Experiment 2
iv)Neither Experiment 1 nor Experiment 2
Q: 3 During a job interview, the probability of a candidate having a B.Tech degree was 5/12 while the probability of a candidate having an MBA degree was 7/16. The probability of a candidate having a B.Tech degree or an MBA degree or both is 11/24. What is the probability of a candidate having a B. Tech degree given that the candidate has an MBA degree?
i)5/12
ii)19/21
iii)20/21
iv)19/20
Q: 4 A dog has six puppies. Assume that each puppy is equally likely to be a male or a female puppy. What is the probability that the dog has exactly 4 female puppies
i)1/16
ii)15/64
iii)15/16
iv)2/3
Q:5 M and N are two independent events. Which of the following statements) is/are DEFINITELY true?
i M and N are mutually exclusive.
ii) The sum of the probabilities of M and N is 1.
i)only (i)
ii)both (i) and (ii)
iii)only (il)
iv)neither (i) nor (ii)
Use the information given below to solve the problems that follow.
(Note: This picture is only to give you an idea of what a railway coach looks like. It DOES NOT represent the actual number of seats.)
Raj was wait-listed for a train from Dehradun to Delhi on a railway ticket booking application. In case his ticket got confirmed in this train, the probability that he got:
i) side berth (side lower and side upper berth) was, P(S) = 1/3
ii) upper berth was, P(U) =2/9
iii) lower berth given that it is the side berth was, P(L|S) = 1/4
iv) upper berth or the side berth (side lower and side upper berth) was, P(U u S) = 17/36
v) middle berth was not 0.
(Note: P(U) does not include the side upper berths.)
Q: 6 Which of the following statements is true?
i)The probability of getting a lower berth is 7/9
ii)The probability of getting a middle berth or side berth is 7/9
iii)The probability of getting a middle berth or lower berth or side berth is 7/9
iv)(none of the given statements are correct.)
Q: 7 Which of the following is the probability of the seat being a side berth as well as a lower berth?
i)1/12
ii)1/3
iii)1/4
iv)7/12
Q: 8 Which of the following is the probability of Raj getting an upper berth as well as a side berth?
i)1/12
ii)2/9
iii)17/36
iv)5/9
Q: 9 Which of the following is the probability of Raj getting a side berth given that he has got an upper berth?
i)1/3
ii)3/8
iii)1/4
iv)5/9
Q: 10 If the probability of Raj buying food on the train given that he got an upper berth is, P(F|U) = 15, what can be said about the probability of Raj buying food given that he got a middle berth, P(F|M)?
(Note: Getting food on the train and getting a lower, middle or upper berth are two independent events.)
i)P(F|M) > P(F|U)
ii)P(FIM) < P(FIU)
iii)P(F|M) = P(F|U)
iv)(cannot be said without knowing P(M))
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To download this complete set of questions with the solutions and get more diverse options, click on the links below:
| CBSE Class 12 Maths Chapter 13 Probability Competency Focused Questions 2024-25 With Answers Volume 1 | |
| CBSE Class 12 Maths Chapter 13 Probability Competency Focused Questions 2024-25 With Answers Volume 2 |
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