It’s very essential for class 11 students to clear all concepts involved in Mathematics as it will help you lay a strong foundation to get good results next year in your board examinations and then crack the entrance exams with flying colours. Class 12 board exam result will help you decide the course of your career. For grabbing a seat in top notch colleges of the country, you need to earn high scores in Class 12 board examination.
Good result in class 12 depends upon your preparation and strong hold on the concepts and fundamentals of each subject. This can happen with the thorough and planned study in class 11. To strengthen your fundamentals in class 11, we suggest all students to follow the NCERT books only and solve all the questions given at the end of each chapter in NCERT book.
In class 11 Maths NCERT books you will find a number of questions based on each conceptual topic explained in the NCERT chapters. Solving these questions will help you clear the concepts in a better way and gain confidence to solve other problems based on those concepts.
CBSE Class 11 Mathematics NCERT Solutions for Chapter 16, Probability
In this article we are providing the NCERT solutions for CBSE Class 11 Maths Chapter 16, Probability. All the solutions are framed in step wise structure to help you clearly understand the concepts and techniques implemented. These solutions will also help you find the right approach to all NCERT questions.
Main topics discussed in Class 11 Mathematics chapter- Probability are:
- Random Experiments
- Outcomes and sample space
- Event
- Occurrence of an event
- Types of events
- Algebra of events
- Mutually exclusive events
- Exhaustive events
- Axiomatic Approach to Probability
- Probability of an event
- Probabilities of equally likely outcomes
- Probability of the event ‘A or B’
- Probability of event ‘not A’.
Students may download all the NCERT Solutions for CBSE Class 11 Mathematics chapter – Probability, in PDF format.
Some of the questions and their solutions from NCERT Solutions for Class 11: Probability, are as follows:
Q. A coin is tossed three times.
Sol. We know that sample space means a set of all possible events occurring in an experiment. If a coin is tossed three times, then possible outcomes are
{HHH, HHT, HTT, THH, THT, HTH, TTH, TTT}
Where, H represents head 4 T represents tail
Hence, sample space
S = {HHH, HHT, HTT, THH, THT, HTH, TTH, TTT}
Q. A coin is tossed and a die is thrown. In coin, H and T occur and in die, a number from 1 to 6 may occur.
Sol. The sample space
S = (H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
where, H and T represent the head and tail of a coin.
Q. A coin is tossed and then a die is rolled only in a case a head is shown on the coin.
Sol. The sample space S is S = (H1, H2 H3, H4, H5, H6}
where, H represents a head of a coin.
Q. Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment.
Sol. Let D represents defective and N represents non-defective.
Then, the sample space is
S = {DDD, DDN, DND, DNN, NDD, NDN, NND, NNN}
To get all the NCERT Solutions, click on the following link: