# NCERT Solutions for Class 9 Maths Chapter 15 – Probability

NCERT Solutions for Class 9 Maths Chapter 15 Probability** **are created to help solve all your doubts related to the chapter. NCERT Solutions for Class 9 Maths Chapter 15 – Probability is an interesting chapter with new concepts and practical examples. It also puts to use very easy formulae that are scoring in general in the CBSE pattern school exams. Therefore this is an important chapter if you are appearing in Class 9 exams to score full marks from this part of the syllabus.

There is 1 exercise consisting of 13 questions of wide-ranging questions from flipping a coin to various questions from the deck of cards. You will be able to memorize the basics of rolling dice or the specifics of a deck of cards by solving the questions from the CBSE NCERT Class 9 Maths book. These questions and answers comply with the latest exam patterns of the board and are also recommended by toppers who had a good experience at Instasolv.

Instasolv is committed to providing a trouble-free extensive NCERT class 9 maths solution resource material to sort out all your doubts relating to the chapters. The solutions to this exercise will uncomplicate the most complex topics in probability. You can substantially increase your score in your report card by practicing from these detailed set of NCERT solutions. The additional perk to using our NCERT solutions for class 9 maths chapter 15 would be that you can get the answers to all your doubts sitting in your comfort zone.

## Summary of NCERT Solutions for Class 9 Maths Chapter 15

**Introduction:**

- Various Mathematicians in the 17th century contributed to the development of Probability independently such as Blaise Pascal, Pierre de Fermat etc.
- We will get learn the chances of a particular outcome that might occur in an experiment in Probability.
- When we get one or several outcomes in an experiment or an event, it is known as a trial.
- An event for an experiment is the collection of some outcomes of the experiment. We will learn a more technical definition of an event in higher classes.
- We find the experimental or empirical probability based on the outcomes of our trials.

If n is the total of trials for an Event E, then the probability is given as,

P(E) = (Number of trials in which the event happened / The total number of trials)

- The probability of an event will always lie between 0 and 1 including 0 or 1. A probability of 0 would mean that there is no chance that the event might occur whereas a probability of 1 would mean there is a 100% chance that the event will occur.
- You can relate to and use the concept of probability in various daily life examples and hence, arrive at almost accurate decisions.
- The concept of probability can be understood with the help of various activities. For example, if we toss a coin 10 times and note down our observations to obtain the fraction of the number of times heads came up and the fraction of the number of times tails came up with respect to the total number of times the coin was tossed. We will find that the fractions will nearly be equal to 0.5 displaying the probability of occurrence of these events.
- You can also try repeating the activity by tossing the coin for a greater number of times and then observe the results for the same.
- Similarly, you can also achieve results of events occurring while throwing a die by finding the fraction of the number of times a number (out of 1, 2, 3, 4, 5, 6) would have occurred with respect to the total number of times the die is rolled.
- You will find the result is approximately equal to ⅙ in these cases which is the probability that the event might occur.

### Exercise-wise discussion of NCERT Solutions for Class 9 Maths Chapter 5

- There are 13 questions of varying difficulty levels in the NCERT Solutions for Class 9 Chapter 5. The solutions at Insasolv will guide you to find the difference between interwoven topics of the chapter such as trials and outcomes; and trials and events.
- These questions will provide you with robust fundamentals for concepts of probability in higher classes.
- Questions 2,4,5 and 7 are based on the data given in the tables.
- Questions 9 and 10 are activity-based questions.
- Many other questions of this exercise are based on each other. So you must solve all of them to find the correct answers.
- The exercise solutions are curated in such a manner that you will be able to grasp the gist of the topic with a crisp yet elaborate approach.
- The questions are also of advanced level and hence you can standout in various national level competitive examinations as well such as the National Talent Search Examination.

**Perks of the Solutions provided by Instasolv:**

- The exercise solutions of the NCERT Chapter 5 are based on the CBSE exam pattern.
- Our NCERT Solutions cover each and every topic and question given in the chapter to provide an organized information source at one place.
- The diagrammatic and tabular approach used by the professionals of Instasolv will help you memorize the topics in a pictorial manner.
- Our solutions are on-point, in line with the CBSE syllabus and therefore qualifies for your last minute revision source.
- You will be able to optimize your time and use it efficiently by practising these solutions completely during the time of your exam.