Probability — Chapter Summary
Gujarat Board · Class 10 · Mathematics
Summary of Probability for Gujarat Board Class 10 Mathematics. Part of the Gujarat Board Class 10 Mathematics syllabus.
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Overview
Probability is a branch of mathematics that deals with the likelihood of events occurring. In this chapter, we explore the theoretical approach to probability, which helps us calculate the chances of different outcomes in experiments with equally likely results. This concept is fundamental in mathem
Key Concepts
The theoretical probability of an event
The theoretical probability of an event E is defined as P(E) = Number of favourable outcomes / Total number of possible outcomes. This formula assumes
Outcomes are equally likely when each
Outcomes are equally likely when each has the same chance of occurring. A fair coin has equally likely outcomes (head or tail), and a fair die has six
The probability of any event E
The probability of any event E satisfies 0 ≤ P(E) ≤ 1. A probability of 0 means the event is impossible, while a probability of 1 means the event is c
A sure event (certain event) has
A sure event (certain event) has probability 1 and will definitely occur. An impossible event has probability 0 and cannot occur. For example, getting
An elementary event has only one
An elementary event has only one outcome. When rolling a die, getting exactly 3 is an elementary event. The sum of probabilities of all elementary eve
Learning Objectives
- Understand the concept of theoretical (classical) probability
- Distinguish between equally likely and non-equally likely outcomes
- Learn to calculate probability using the basic probability formula
- Identify sure events, impossible events, and elementary events
- Understand complementary events and their relationship
Frequently Asked Questions
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Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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