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Concise Mathematics Class 8 ICSE Solutions for Chapter 23 - Probability

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ICSE Class 8 Mathematics Chapter 23 Selina Concise Solutions - Free PDF Download

Updated ICSE Class 8 Mathematics Chapter 23 - Probability Selina Solutions are provided by Vedantu in a step-by-step method. Selina is the most famous publisher of ICSE textbooks. Studying these solutions by Selina Concise Mathematics Class 8 Solutions which are explained and solved by our subject matter experts will help you in preparing for ICSE exams. Concise Mathematics Class 8 ICSE Solutions can be easily downloaded in the given PDF format. These solutions for Class 8 ICSE will help you to score good marks in ICSE Exams 2024-25.


The updated solutions for Selina textbooks are created in accordance with the latest syllabus. These are provided by Vedantu in a chapter-wise manner to help the students get a thorough knowledge of all the fundamentals.

Class 8 ICSE Solutions Chapter 23 Concise Mathematics - Probability

Probability

We can predict the outcome of an experiment based on the results of the experiment. How do we know what will happen if we don't undertake the experiment? Theoretical probability is the probability or likelihood of an event occurring without actually conducting the experiment.


When we toss a coin 500 times and keep track of the results, we can see exactly how many times we got heads and how many times we got tails. Based on these statistics, we can determine the likelihood of having a head or a tail.


But, without tossing a coin, how can we predict the likelihood of receiving a head? In such circumstances, we make a list of all conceivable experiment outcomes and express the number of favorable outcomes as a percentage of all possible outcomes.


Probability

Probability is defined as a numerical approach to calculating the degree of uncertainty in a scenario. It is commonly used to make conclusions in the fields of mathematics, statistics, gambling, physical science, biological research, weather forecasting, and finance.

  • Random Experiment: A random experiment is one in which we know all of the outcomes but are unable to anticipate them.

  • Outcomes: The outcomes are the conceivable outcomes of an experiment.

  • Event: The term "event" refers to a collection of outcomes.

  • Elementary Event: An elementary event is a result of a random experiment.

  • Compound Event: It is a random experiment that is created by merging two or more elementary events.

  • Occurrence of an Event: A random experiment's event A is said to occur if any of the elementary events linked with event A is a result.

  • Negation of an Event: We define an event "not A" for every event A connected with a random experiment, which occurs only when A does not occur. The event "not A" is referred to as the negation of event A, and it is represented by the letter A.


Getting an even number on an unbiased die is an event, for example. The outcomes, in this case, are 2,4,6.


When an experiment is run, the results are said to be equally likely if all of the outcomes have the same chance of occurring.

FAQs on Concise Mathematics Class 8 ICSE Solutions for Chapter 23 - Probability

1. What is the definition of probability in Maths as discussed in chapter 23 of ICSE class 8 Maths?

Probability is a metric for determining the possibility of an event occurring. Many things are impossible to forecast with 100% accuracy. Using it, we can only anticipate the probability of an event occurring, i.e. how probable it is to occur. Probability can be from a range of 0 to 1, with 0 indicating an improbable event and 1 indicating a certain event. Probability for Class 10 is an important topic for students because it teaches all of the fundamental ideas. All of the events in a sample space have the same probability.

2. According to the concepts of ICSE Class 8 Maths Chapter 23, what is meant by axiomatic probability?

A set of principles or axioms is established in the axiomatic probability that applies to all types. Kolmogorov is the one who sets these axioms, and these are also known as Kolmogorov's three axioms. The probabilities of events happening or not happening can be quantified using the axiomatic route to probability. This subject is covered in depth in the axiomatic probability lesson, which includes Kolmogorov's three rules (axioms) and several examples.


The possibility of an event or outcome happening based on the occurrence of a previous event or outcome is known as conditional probability.

3. What is meant by equally likely events according to the concepts of ICSE Class 8 Maths Chapter 23?

Equally likely events occur when two or more events have the same theoretical likelihood of occurring. If all the outcomes of a sample space have the same probability of happening, they are speculated to be equally likely. If you throw a dice, for example, the probability of obtaining 1 is 1/6. Similarly, receiving the numbers from 2,3,4,5, and 6 one by one has a probability of 1/6. As a result, here are some instances of equally likely outcomes when rolling a die:

  • Getting 3 and 5 on a die toss
  • Using a die to get an even and an odd number

  • Rolling a die and getting a 1, 2, or 3

As the probability of each event is identical, they are all equally likely.

4. Following the concepts of ICSE Class 8 Maths Chapter 23, what are complementary events?

The likelihood that there will only be two outcomes, one of which states whether or not an event will take place. Complementary occurrences include things like someone coming to your house or not coming to your house, getting a job or not getting a job, and so on. In other words, the probability of an event occurring in the exact opposite direction of the probability of it not occurring. Here are some more examples:

  • Today will either rain or not rain.

  • The student will either pass the examination or fail the examination.

  • You either win or lose the lottery.

5. How to prepare for ICSE Class 8 Maths, Chapter 23 - Probability?

Students should prepare for Class 8, Chapter 23 - Probability by grasping the fundamentals of the lesson first. It is important for students to be thorough with the basics of the lesson to be completely thorough with the subject. Students should be well-versed with concepts such as probability, random event, complimentary event, outcomes, events, the occurrence of an event, the negation of an event, and much more. Students should also solve sample papers related to this topic to get better at this lesson. Students should access the Vedantu app and website for free study materials.