# Probability Class 11 Mathematics Solutions | Exercise - 14.1

## Chapter - 14.1  Probability

We all have to study probability in class 11 mathematics. It is one of the easiest chapter if we pay proper attention. It is not too complicated to understand. However some of you may find it difficult and it is not abnormal.

Some students were demanding the notes of class 11 probability chapter. They were continuously texting us in our social media handles. So, I'm here to fulfill your demand. Today I'll be giving you the complete note of class 11 probability chapter. For further information keep on reading this article.

### Introduction

The theory of probability originated in the middle of the seventeenth century has its origin in the context of the correspondence between Pascal and Fermat while dealing with a problem of a game of chance posed by a gambler Chavalier de Mere. Such games present situations where under given conditions more than one result are possible and the occurrence of a particular result is unpredictable and remains uncertain.

As for example, consider the tossing of a coin. When it falls, the result may be either a head or a tail. We know what the possible results are; but we are not quite sure which one of these results will actually turn up. Similar situation arises when we roll a die whose six faces are marked with 1, 2, 3, 4, 5, 6.

A numerical measure of such an uncertainty is known as the probability. Sometimes, we use "most likely", probably, almost certain or chance as the synonym of the world probability by saying "almost it is certain that it may rain today", "probably you may pass +2 level this year".

### Some Basic Terms incuding Independent Cases

Before giving the definition of probability, we explain some terms which are used in the definition of probability.

#### Experiment

The processes, which when performed result different possible outcomes or cases, are known as the experiments. While performing an experiment repeatedly under the same condition if the result obtained is not unique, but may be any one of the possible outcomes, then the experiment is known as a random experiment. The set of all possible outcomes is called the sample space of the random experiment.

#### Trial and Event

Performing of a random experiment is called a trial and outcome or a combination of outcomes of an experiment is termed as an event.

Drawing a card from a deck of 52 cards, is a trial or an experiment and getting any one of the cards is an event. An event is said to be a sure event if its occurrence is certain and an event which can never occur is said to be an impossible event. We use the term "success" whenever an event of an experiment under consideration, takes place and failure whenever it does not.

#### Exhaustive cases

The number of cases which include all possible outcomes of a random experiment is said to be the exhaustive cases for the experiment. In throwing a die, the turning up of 1, 2, 3, 4, 5 and 6 marked in a die made exhaustive cases. Thus the total number of exhaustive cases in throwing a die is 6.

#### Equally likely cases

While performing experiments if any one of the possible outcomes may occur but no one case can be expected to occur more than the other then the cases are said to be equally likely. If a die is rolled, any one of the six numbers marked in the faces of a die, may turn up. So there are 6 equally likely cases in throwing a die.

#### Mutually exclusive cases (events)

Two or more events are said to be mutually exclusive if their simultaneous occurrence is not possible. If a coin is tossed either head or tail will occur, so head and tail are two mutually exclusive events.

#### Favourable cases

The cases or the outcomes of a random experiment which entail the happening of an event are known as the cases favourable to that event.

In throwing a die, the cases favourable to "getting an odd numbers" are 3.

### Exercise - 14.1

In this PDF, you'll only find the solution of class 11 vectors chapter. It contains all the solutions of exercise - 14.1. Since it contains only one exercise, you don't need to search for other exercise. All the topics are covered in this exercise.

NoteScroll the PDF to view all Solution

You are not allowed to post this PDF in any website or social platform without permission.

We may not have internet excess 24/7. Considering this situation we have decided you to provide PDF file so that you can do your assignment even if you are offline.

If you want to download the PDF of class 11 Probability chapter then follow the simple steps given below.

Step 1: Just below the PDF you'll see a 'Download PDF' button. Click on it.

Step 2: After clicking the button you'll be redirected to next page or next website.

Step 3: You'll see a verification captcha. Wait few seconds and click on 'I am not a Robot.'

Step 4: Wait for 15 seconds and scroll the page till the bottom. Click on 'Go to Link'.

## Usage and Distribution Guidelines

I have already mentioned before, the PDF file you download from this site is purely for personal use. You can't redistribute the PDF or use it for commercial purpose.

We haven't added any watermark to the content included in the PDF because we believe in you. We believe that you won't use this PDF for any other purpose except personal use.

I have seen many people downloading our notes and uploading them it their own site. You are strictly prohibited to do such activities. If we find any then their content will immediately be taken down. We hold all the copyright of the PDF provided in this article.

It really takes hardwork to prepare the complete solution notes. We are distributing this notes just to help students learn more. I don't want you guys to face the same problem I used to face while solving mathematics questions. So use our PDF wisely and get well prepared to solve any mathematics problems.

If you have any queries then feel free to comment down.

No Comment