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Chapter 18 of 18
Chapter Summary

Probability

ICSE · Class 11 · Mathematics

Summary of Probability for ICSE Class 11 Mathematics. Key concepts, important points, and chapter overview.

64 questions36 flashcards5 concepts

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A series of small Venn diagrams or a single composite diagram illustrating impossible, sure, simple, and compound events within a sample space.
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Overview

Probability measures chance in a numerical form. A random experiment has more than one possible outcome and its result cannot be predicted in advance. The set of all possible outcomes is the sample space, and any subset of the sample space is an event. Probability is first built from equally likely

Key Concepts

An experiment is an operation

An experiment is an operation that produces well-defined outcomes. A random experiment has more than one possible outcome, and the outcome cannot be p

The sample space is the set

The sample space is the set of all possible outcomes of a random experiment and is denoted by S. For a die throw, S = {1,2,3,4,5,6}. For two coin toss

An event is any subset

An event is any subset of the sample space. If S has n elements, then the number of events is 2^n. Events may be simple, compound, sure or impossible.

A sure event is the whole

A sure event is the whole sample space. An impossible event is the empty set. An elementary event has exactly one outcome. A compound event has more t

Two outcomes are equally likely if

Two outcomes are equally likely if one cannot be expected to occur in preference to the other. This idea is used in classical probability.

Learning Objectives

  • Identify experiments, random experiments, sample spaces and events
  • Classify events as sure, impossible, elementary, compound, complementary, mutually exclusive and exhaustive
  • Apply the classical approach to probability for equally likely outcomes
  • Understand the axiomatic approach and its basic rules
  • Use complement, union and intersection to find probabilities of related events

Frequently Asked Questions

What are the important topics in Probability for ICSE Class 11 Mathematics?
Key topics in Probability include Probability Concepts Overview, Probability Concepts Overview, Probability Concepts Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Probability — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 64 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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