# NCERT Solutions for Class 9 Maths Chapter 15

NCERT Solutions for Class 9 Maths Chapter 15 Probability Exercise 15.1 in English Medium and प्रश्नावली 15.1 in Hindi Medium to study online or download in PDF. All NCERT Solutions and Apps are to free download. Download NCERT Books for CBSE Board, MP Board, Gujrat Board and UP Board for the new academic session 2019-20.

 Class 9: Maths – गणित Chapter 15: Probability All solutions are revised as per Latest CBSE Curriculum 2019-20 and updated, removing errors and simplifying according to suggestions received by the students.

## NCERT Solutions for Class 9 Maths Chapter 15

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### 9 Maths Exercise 15.1 Solutions

NCERT Solutions for Class 9 Maths Chapter 15 Probability Exercise 15.1 in English Medium is given below. Visit for Hindi Medium or go back to 9 Maths Main page. Move to Top of the page.      ### 9 गणित के प्रश्नावली 15.1 के हल

NCERT Solutions for Class 9 Maths Chapter 15 Probability Exercise 15.1 in Hindi Medium is given below. Visit for English Medium or go back to 9 Maths Main page. Move to Top of the page.       Visit to 9 Maths Main page or move to Top of the page

##### Important Terms & Definitions on Probability
• Experiment: An operation which can produce some well-defined outcomes, is called an experiment.
• Random Experiment: An experiment which, when repeated under identical conditions, do not produce the same outcomes every time, but if the outcomes produced is one out of the several possibilities, is known as a random experiment.
• Event: A possible outcome or combination of outcomes is called an event.
1. Sure Event: If probability of an event is 1, then the event is called certain event or sure event.
2. Impossible Event: If probability of an event is 0, then event is called an impossible event.
###### Basic Terms
• The probability of an event is given by P(E) = [Number of trials in which E has happened]/[Total number of trials].
• The probability of happening of an event always lies from 0 to 1.
• The sum of all the possibilities of all possible outcomes of an experiment is 1.
• Experimental probability of an event can never be negative.

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#### एक क्रिकेट मैच में, एक महिला बल्लेबाज खेली गई 30 गेंदों में 6 बार चौका मारती है। चौका न मारे जाने की प्रायिकता ज्ञात कीजिए।

कुल गेंदों की संख्या = 30
गेंदें, जिनपर चौका मारा गया = 6
इसलिए, गेंदें, जिनपर चौका नहीं मारा गया = 30 – 6 = 24
P(चौका नहीं मारा गया )
= (24)/30 = 4/5 = 0.8
अतः, चौका न मारे जाने की प्रायिकता 0.8 है।

#### How did the concept of probability develop?

The concept of probability developed in a very strange manner. In 1654, a gambler Chevalier de Mere, approached the well-known 17th century French philosopher and mathematician Blaise Pascal regarding certain dice problems. Pascal became interested in these problems, studied them and discussed them with another French mathematician, Pierre de Fermat. Both Pascal and Fermat solved the problems independently. This work was the beginning
of Probability Theory.

#### What is trial in probability?

A trial is an action which results in one or several outcomes.

#### What is an event in probability?

An event for an experiment is the collection of some outcomes of the experiment.

#### What is the quantitative range of probability?

The Probability of an event lies between 0 and 1 (0 and 1 inclusive).