CBSE Class 10th Probability Details & Preparations Downloads
Welcome to the intriguing world of probability, a branch of mathematics that deals with the likelihood of events occurring. In this blog, we'll embark on a journey to demystify probability, exploring its foundational concepts, realworld applications, and problemsolving techniques.
Unveiling the World of Probability: A Definitive Guide with CBSE NCERT Download
What Is Probability?
The branch of mathematics that measures the uncertainty of the occurrence of an event using numbers is called probability. The chance that an event will or will not occur is expressed on a scale ranging from 01.
It can also be represented as a percentage, where 0% denotes an impossible event and 100 % implies a certain event.
Probability of an Event E is represented by P(E).
For example, the probability of getting a head when a coin is tossed is equal to 1/2. Similarly, the probability of getting a tail when a coin is tossed is also equal to 1/2.
Hence, the total probability will be:
P(E) = 1/2 + 1/2 = 1
Understanding Probability:
Probability is the mathematical study of uncertainty, providing a framework to quantify and analyze the likelihood of different outcomes in various situations. It plays a crucial role in decisionmaking, statistics, and diverse fields such as finance, physics, and gaming.
Fundamental Concepts:

Sample Space:
 The set of all possible outcomes in a given situation, forming the basis for probability calculations.

Events:
 Events are specific outcomes or combinations of outcomes within the sample space that we are interested in.

Probability Scale:
 Ranging from 0 to 1, where 0 represents an impossible event, 1 denotes a certain event, and values in between reflect varying degrees of likelihood.
Types of Probability:

Theoretical Probability:
 Based on logical reasoning and the properties of the sample space, calculated as the ratio of favorable outcomes to the total number of outcomes.

Experimental Probability:
 Derived from observations and experiments, calculated as the ratio of the number of times an event occurs to the total number of trials.
RealWorld Applications:
Probability is not confined to the classroom; its applications are vast and diverse. From predicting weather patterns to assessing risk in business, understanding probability provides valuable insights into uncertain situations.
ProblemSolving Techniques:

Complementary Events:
 Considering the probability of an event and its complement (the event not happening) offers a comprehensive perspective.

Multiplication Rule:
 Useful for calculating the probability of independent events occurring together.

Addition Rule:
 Applied to mutually exclusive events, aiding in determining the probability of either event occurring.
Experimental Probability
Experimental probability can be applied to any event associated with an experiment that is repeated a large number of times.
A trial is when the experiment is performed once. It is also known as empirical probability.
Experimental or empirical probability: P(E) =Number of trials where the event occurred/Total Number of Trials
Example: In a day, a shopkeeper is able to sell 15 balls, out of which 6 were red balls. Find the probability of selling red balls on the next day of his sales.
Given, the total number of balls sold = 15
Number of red balls sold = 6
Probability of red balls = 6/15 = 2/5
Theoretical Probability
Theoretical Probability, P(E) = Number of Outcomes Favourable to E / Number of all possible outcomes of the experiment
Here we assume that the outcomes of the experiment are equally likely.
Example: Find the probability of picking up a red ball from a basket that contains 5 red and 7 blue balls.
Solution: Number of possible outcomes = Total number of balls = 5+7 = 12
Number of favourable outcomes = Number of red balls = 5
Hence,
Probability, P(red) = 5/12
Elementary Event
An event having only one outcome of the experiment is called an elementary event.
Example: Take the experiment of tossing a coin n number of times. One trial of this experiment has two possible outcomes: Heads(H) or Tails(T). So for an individual toss, it has only one outcome, i.e. Heads or Tails.
Sum of Probabilities
The sum of the probabilities of all the elementary events of an experiment is one.
Example: take the cointossing experiment. P(Heads) + P(Tails )
= (1/2)+ (1/2) =1
Impossible Event
An event that has no chance of occurring is called an Impossible event, i.e. P(E) = 0.
E.g., The probability of getting a 7 on a roll of a die is 0. As 7 can never be an outcome of this trial.
CBSE Class 10 Board Exam Sample Paper
[Previous Year Question Solution Maths Download Button]
[Previous Year Question Solution Science Download Button]
CBSE CLASS 10 Mathematics Chapters 
Chapter1: Real Numbers 
Chapter2: Polynomials 
Chapter3: Pair of Linear Equations in Two Variables 
Chapter4: Quadratic Equations 
Chapter5: Arithmetic Progressions 
Chapter6: Triangles 
Chapter7: Coordinate Geometry 
Chapter8: Introduction to Trigonometry 
Chapter9: Some Applications of Trigonometry 
Chapter10: Circles 
Chapter11: Areas Related to Circles 
Chapter12: Surface Areas and Volumes 
Chapter13: Statistics 
Chapter14: Probability 
CBSE CLASS 10 Science Chapters 
Chapter1: Chemical Reactions and Equations 
Chapter2: Acids, Bases and Salts 
Chapter3: Metals and Nonmetals 
Chapter4: Carbon and its Compounds 
Chapter5: Life Processes 
Chapter6: Control and Coordination 
Chapter7: How do Organisms Reproduce? 
Chapter8: Heredity 
Chapter9: Light – Reflection and Refraction 
Chapter10: The Human Eye and the Colourful World 
Chapter11: Electricity 
Chapter12: Magnetic Effects of Electric Current 
Chapter13: Our Environment 
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CBSE Class 10th Downloadable Resources:
1. CBSE Class 10th Topic Wise Summary  View Page / Download 
2. CBSE Class 10th NCERT Books  View Page / Download 
3. CBSE Class 10th NCERT Solutions  View Page / Download 
4. CBSE Class 10th Exemplar  View Page / Download 
5. CBSE Class 10th Previous Year Papers  View Page / Download 
6. CBSE Class 10th Sample Papers  View Page / Download 
7. CBSE Class 10th Question Bank  View Page / Download 
8. CBSE Class 10th Topic Wise Revision Notes  View Page / Download 
9. CBSE Class 10th Last Minutes Preparation Resources (LMP)  View Page / Download 
10. CBSE Class 10th Best Reference Books  View Page / Download 
11. CBSE Class 10th Formula Booklet  View Page / Download 
Being in CBSE class 10th and considering the board examinations you must be needing resources to excel in your examinations. At TestprepKart we take great pride in providing CBSE class 10th all study resources in downloadable form for you to keep you going.
Below is the list of all CBSE class 10th Downloads available on TestprepKart for both Indian and NRI students preparing for CBSE class 10th in UAE, Oman, Qatar, Kuwait & Bahrain.
FAQ
Q:1 What is probability, and why is it essential in mathematics?
Ans: Probability is a branch of mathematics that quantifies the likelihood of events occurring. It is crucial for decisionmaking, statistics, and understanding uncertainty in various scenarios.
Q:2 How is probability calculated, and what is the role of the sample space?
Ans: Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. The sample space encompasses all possible outcomes, forming the foundation for these calculations.
Q:3 What is the difference between theoretical and experimental probability?
Ans: Theoretical probability is based on logical reasoning and the properties of the sample space, while experimental probability is derived from observations and actual experiments, reflecting the realworld frequency of events.
Q:4 Can you explain the significance of the probability scale ranging from 0 to 1?
Ans: The probability scale helps express the likelihood of events. A probability of 0 indicates an impossible event, 1 represents a certain event, and values in between signify varying degrees of likelihood.
Q:5 How is probability applied in realworld scenarios, and what are some practical examples?
Ans: Probability finds application in diverse fields, such as weather prediction, finance, gaming, and risk assessment. For instance, it helps forecast the likelihood of rain, assess financial risks, and determine winning odds in games of chance