## NCERT Solutions for Class 12 Maths Chapter 13 Miscellaneous Exercise - Free PDF Download

## FAQs on NCERT Solutions for Class 12 Maths Miscellaneous Exercise Chapter 13- Probability

1. What kind of problems are covered in the Miscellaneous Exercise?

The miscellaneous exercise section in Chapter 13 deals with various probability concepts beyond the basics, including:

Conditional probability (finding the probability of an event happening given another event has already occurred).

Baye's theorem (applying Bayes' theorem to calculate conditional probabilities in certain scenarios).

Independent vs. dependent events (determining if events are independent or influence each other's probabilities).

Problems involving multiple trials (calculating probabilities in situations with repeated events).

Probability distributions (exploring concepts like binomial and Poisson distributions).

2. Are there any tips for using the NCERT solutions effectively?

Here are some tips:

Grasp the fundamentals: Ensure you have a solid understanding of basic probability concepts like sample space, events, probability of an event, and independent/dependent events.

Identify the type of problem: Recognize whether the problem involves conditional probability, Bayes' theorem, multiple trials, or probability distributions.

Focus on the approach: When referring to the NCERT solutions, pay close attention to the thought process behind choosing the formula and setting up the probability calculations for the specific problem.

3. Where can I find additional resources for practising miscellaneous exercise problems?

The NCERT textbook itself might provide solutions to some problems within the miscellaneous exercise section.

Vedantu offers comprehensive solutions and explanations for these problems. You can find them through a web search using terms like "NCERT Solutions Class 12 Maths Chapter 13 Miscellaneous Exercise Probability."

4. Sample Questions from Probability Miscellaneous Class 12?

Two cards are drawn without replacement from a well-shuffled deck of 52 cards. Find the probability that the first card drawn is a spade and the second card is a heart. (This question involves conditional probability)

A box contains 4 red balls and 6 white balls. A ball is drawn at random, its colour is noted and then replaced. This process is repeated 3 times. Find the probability that exactly 2 red balls are drawn in the 3 trials. (This question might involve using the binomial distribution)

In a factory, 2% of the products are defective. What is the probability that in a random sample of 100 products, none of them are defective? (This question could involve using the Poisson distribution or complementary probability)

A coin is tossed 4 times. Events A and B are defined as getting at least 2 heads and getting exactly 2 heads, respectively. Are events A and B independent? Explain your answer. (This question requires understanding independence of events)

5. How many questions exist in the Miscellaneous Exercise Chapter 13 Class 12?

There are 13 questions designed to integrate and apply various concepts from the chapter.

6. What is the purpose of the Miscellaneous Exercise in Chapter 13?

The purpose of the Miscellaneous Exercise is to provide a thorough review of all the concepts learned in the chapter, helping students to apply these concepts in different and more complex scenarios.

7. What are the benefits of solving the Miscellaneous Exercise for exam preparation?

Solving the Miscellaneous Exercise helps reinforce the concepts, improve problem-solving skills, and prepare students for exam questions that often require the application of multiple topics.

8. How should I approach solving the Miscellaneous Exercise questions?

Approach the questions systematically by breaking them down into smaller parts, revising related concepts, and using the NCERT Solutions for guidance and to understand the correct methods of solving complex problems.

9. Are there any specific strategies to tackle the Miscellaneous Exercise effectively?

Yes, practice regularly, understand the underlying concepts, and review the NCERT Solutions to learn the correct methods of solving complex problems.

10. How many questions from the Miscellaneous Exercise Chapter 13 Class 12 typically appear in the board exams?

While the exact number can vary, questions from the miscellaneous probability class 12 often appear in the board exams, usually around 1 to 2 questions, as they provide a comprehensive review of the chapter.