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RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution

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Last updated date: 23rd Apr 2024
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RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution - Free PDF download

Under a given set of parameters or assumptions, the binomial distribution defines the probability that a value will take one of two independent values. The binomial distribution is based on the assumptions that each trial has only one outcome, that each trial has the same probability of success, and that each trial is mutually exclusive or independent of the other. The binomial distribution, as opposed to a continuous distribution like the normal distribution, is a typical discrete distribution used in statistics. 

What is Binomial Distribution?

A series of independent and identically distributed Bernoulli trials represents the binomial distribution. The experiment in a Bernoulli trial is said to be random, with only two possible outcomes: success or failure. Flipping a coin, for example, is a Bernoulli trial since each trial may only have one of two outcomes (heads or tails), each success has the same likelihood (flipping head has a probability of 0.5), and the results of one trial have no bearing on the results of another. So, Bernoulli distribution is a special case of the binomial distribution, with n = 1 as the number of trials.

So students need to understand the concepts and learn carefully by using RD Sharma Class 12 Maths Chapter 33 to score good marks in their exams. The solutions to important questions are explained in a step by step manner so that all the doubts of students are getting clarified when refereeing through RD Sharma solutions. Students can find a free PDF version of RD Sharma Solutions Class 12 Maths Binomial Distributions which is available on the Vedantu platform.

Competitive Exams after 12th Science

Class 12 RD Sharma Textbook Solutions Chapter 33 - Binomial Distribution

RD Sharma Class 12 Maths Chapter 33

RD Sharma Solutions for Class 12 Maths Chapter 33 are developed by the experts of Vedantu who have a lot of experience and subject knowledge. This chapter contains two exercises and a total of 70 questions. You'll get help with questions like calculating the number of trials when you have the probability of an event occurring for a given number of times in an individual trials sequence, calculating the number of trials when you have the probability of an event occurring, measuring the frequency of several successes, and so on.

Here Let Us Look Into Important Topics from RD Sharma Solutions for Class 12 Maths Chapter 33

  • Bernoulli Trials 

  • Binomial Distribution

RD Sharma Class 12 Maths Chapter 33 Binomial Distribution Exercises

  1. Binomial Distribution Exercise 33.1: Calculating the probability of an event occurring for a particular and specified number of occasions in all independent trials, finding the probability distribution, calculating the frequency of the number of successes in trials, calculating the trials when you know the probability of an event occurring, and other topics are covered in Exercise 33.1. There are a total of 49 questions in this exercise.

  2. Binomial Distribution Exercise 33.2: This exercise focuses on problems such as determining the Binomial Distribution mean and variance, etc. There are 21 questions in this exercise. You'll answer problems like showing that the mean of a Binomial Distribution is greater than its variance, determining the distribution provided the variance and mean of a binomial distribution, and so on.

Tips to Prepare for the Exam using RD Sharma Solutions Class 12 Maths Binomial Distribution

To be sure, the Binomial Theorem is a difficult branch of mathematics. However, when dealing with topics involving long equations with a small number of variables, this is not the case. Following tips might help you deal with Binomial Distribution problems. 

  • Understand if the number of observations or trials is defined. To put it another way, you can only determine the probability of anything happening if you do it a certain amount of times.

  • Keep in mind that each observation or trial is independent. To put it another way, none of the trials has any bearing on the likelihood of the next trial.

  • From one trial to the next, the probability of success (tails, heads, fail, or pass) is the same. You can use the binomial distribution formula to calculate the probability until you know your distribution is binomial.

Why do Students Choose Vedantu?

Vedantu offers the RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution to the students which are completely free of cost. These RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution are provided in PDF format which can be downloaded by the students to study offline. The subject matter experts at Vedantu had prepared these solutions: The RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution appropriately. 

All these solutions are made concerning the latest NCERT syllabus and guidelines. These solutions are made to help and guide students and make them prepared for their examinations. These solutions assist students in their homework and assignments. Students can top the final exams and ace the subject by practising these solutions. 

Conclusion

The RD Sharma Class 12 Maths Chapter 33 is created in such a way that it provides a unique learning experience to the students by clearing all their doubts. These solutions will help the students to clear any of their board exams as well as the competitive exams. Binomial Distribution is one of the most important chapters which is frequently asked in all board and competitive exams. Students should understand the basic concepts clearly to attempt any questions from this chapter. The RD Sharma Solutions Class 12 Maths Binomial Distribution is available in a PDF form which students can download for free from the Vedantu website.

FAQs on RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution

1. What is a Binomial Distribution?

Under a given set of parameters or assumptions, the binomial distribution defines the probability that a value will take one of two independent values. The binomial distribution is based on the assumptions that each trial has only one outcome, that each trial has the same probability of success, and that each trial is mutually exclusive or independent of the other.

2. What are the 4 requirements for binomial distribution?

The 4 requirements for binomial distribution are:

  • Each observation can be classified as either a success or a failure.

  • There is a limit to the number of observations that can be made. (fixed number of observations)

  • Both of the observations are independent.

  • For each observation, the probability of success (p) is the same - equally likely.

3. Where can I find the RD Sharma Solutions Class 12 Maths Binomial Distribution?

Students can find a free PDF of RD Sharma Solutions Class 12 Maths Binomial Distribution from the Vedantu platform which is developed according to the NCERT curriculum.

4. Are RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution good to score better in Class 12 board examinations?

Yes, RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution can help students will tend to learn more and more of the subject and thus score better grades in the Class 12 board examination. This is because when students practice the solutions mentioned, they learn about all the concepts of the subject deeply. So they are well prepared for the examination. They don't need to be in chaos before the early days of the examination. Also, the learning power of the students is enhanced. 

5. Where can I find useful study resources for RD Sharma Solutions for Class 12 Maths Chapter 33 - Binomial Distribution?

You can find RD Sharma Class 12 Maths Solutions Chapter 32 -  Mean And Variance Of A Random Variable on the Vedantu app or website. You can find the RD Sharma Class 12  Maths Solutions Chapter 32 -  Mean And Variance Of A Random Variable, the Vedantu site through the given link on this page.


Vedantu offers these free resources which are created by the subject matter experts at Vedantu. They are masters in their respective fields and that's why the content is accurate and reliable. Students can find revision notes, important questions, question papers,etc on the site and Vedantu app. These study materials are completely free and there is no cost involved. To access these useful study resources, all students have to sign in and then they will be able to download what they want in pdf format online or offline. 

6. Do you have to pay anything for studying RD Sharma Class 12  Maths Solutions Chapter 32 -  Mean And Variance Of A Random Variable?

No, RD Sharma Class 12  Maths Solutions Chapter 32 -  Mean And Variance Of A Random Variable is completely free of cost. Students can study it only by logging in to the Vedantu site which is absolutely free and just preparing for your examination. They don't need to pay anything to access these RD Sharma Class 12 Maths Solutions Chapter 32 -  Mean And Variance Of A Random Variable. These are made for the convenience of the students. They are made not to loot students, but to make students prepare for the examination, to make them more adaptive and make learning fun and enjoyable for them.

7. Is there a time-frame a student should keep while studying RD Sharma Class 12  Maths Solutions Chapter 33 - Binomial Distribution?

Well it takes just some time to go through and understand these solutions. They are just made for the convenience of the students. It also depends upon students' memory power and intelligence. Some students can take less time to go through the revision notes while others can take more time also. It also depends upon the difficulty of the subjects and the chapter's concepts. Those with deeper concepts can be difficult to go through by the students while the normal easy-to-understand concepts and chapters revision notes can be easily gone through within a short time.

8. Why should students opt for RD Sharma books?

RD  Sharma's book contains a large number of well-graded solved examples. Students can practice these solved examples on their own without looking at the solutions and if they find any difficulty in solving the examples, they may look at the solutions if they are unable to solve them. This would help them develop the confidence to attempt unsolved exercises. This is very important if one wants to score well in the examination. You can get them free of cost through the direct links available on our page or the mobile application.