• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • ICSE Solutions
    • ICSE Solutions for Class 10
    • ICSE Solutions for Class 9
    • ICSE Solutions for Class 8
    • ICSE Solutions for Class 7
    • ICSE Solutions for Class 6
  • Selina Solutions
  • ML Aggarwal Solutions
  • ISC & ICSE Papers
    • ICSE Previous Year Question Papers Class 10
    • ISC Previous Year Question Papers
    • ICSE Specimen Paper 2021-2022 Class 10 Solved
    • ICSE Specimen Papers 2020 for Class 9
    • ISC Specimen Papers 2020 for Class 12
    • ISC Specimen Papers 2020 for Class 11
    • ICSE Time Table 2020 Class 10
    • ISC Time Table 2020 Class 12
  • Maths
    • Merit Batch

A Plus Topper

Improve your Grades

  • CBSE Sample Papers
  • HSSLive
    • HSSLive Plus Two
    • HSSLive Plus One
    • Kerala SSLC
  • Exams
  • NCERT Solutions for Class 10 Maths
  • NIOS
  • Chemistry
  • Physics
  • ICSE Books

Probability – Types of Events

December 10, 2020 by Prasanna

Probability – Types of Events

Event: An event is a subset of a sample space.

  1. Simple event: An event containing only a single sample point is called an elementary or simple event.
  2. Compound events: Events obtained by combining together two or more elementary events are known as the compound events or decomposable events.
  3. Equally likely events: Events are equally likely if there is no reason for an event to occur in preference to any other event.
  4. Mutually exclusive or disjoint events: Events are said to be mutually exclusive or disjoint or incompatible if the occurrence of any one of them prevents the occurrence of all the others.
  5. Mutually non-exclusive events: The events which are not mutually exclusive are known as compatible events or mutually non exclusive events.
    Probability - Types of Events 1
  6. Independent events: Events are said to be independent if the happening (or non-happening) of one event is not affected by the happening (or non-happening) of others.
  7. Dependent events: Two or more events are said to be dependent if the happening of one event affects (partially or totally) other event.

Mutually exclusive and exhaustive system of events:
Let S be the sample space associated with a random experiment. Let A1, A2, ……….. An be subsets of S such that
(i) Ai ∩ Aj = ϕ for i ≠ j and (ii) A1 ∪ A2 ∪ ….. ∪ An = S
Then the collection of events is said to form a mutually exclusive and exhaustive system of events.
If E1, E2, ……….. En are elementary events associated with a random experiment, then
(i) Ei ∩ Ej = ϕ for i ≠ j and (ii) E1 ∪ E2 ∪ ….. ∪ En = S
So, the collection of elementary events associated with a random experiment always form a system of mutually exclusive and exhaustive system of events.
In this system, P(A1 ∪ A2 ……… ∪ An) = P(A1) + P(A2) + …… + P(An) = 1

Filed Under: Mathematics Tagged With: Compound events, Dependent events, Equally likely events, Independent events, Mutually exclusive and exhaustive system of events, Mutually exclusive or disjoint events, Mutually non-exclusive events, Probability - Types of Events, Simple event

Primary Sidebar

  • MCQ Questions
  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • ICSE Solutions
  • Selina ICSE Solutions
  • Concise Mathematics Class 10 ICSE Solutions
  • Concise Physics Class 10 ICSE Solutions
  • Concise Chemistry Class 10 ICSE Solutions
  • Concise Biology Class 10 ICSE Solutions
  • Concise Mathematics Class 9 ICSE Solutions
  • Concise Physics Class 9 ICSE Solutions
  • Concise Chemistry Class 9 ICSE Solutions
  • Concise Biology Class 9 ICSE Solutions
  • ML Aggarwal Solutions
  • ML Aggarwal Class 10 Solutions
  • ML Aggarwal Class 9 Solutions
  • ML Aggarwal Class 8 Solutions
  • ML Aggarwal Class 7 Solutions
  • ML Aggarwal Class 6 Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC

Recent Posts

  • Notice Writing Class 10 ICSE Format, Examples, Topics, Exercises, Samples
  • Tum, Yushmad Ke Shabd Roop In Sanskrit – युष्मद् (तुम) शब्द के रूप – भेद, चिह्न उदाहरण (संस्कृत व्याकरण)
  • Advantages and Disadvantages of Media | List of Top 10 Media Advantages and Disadvantages
  • Provisional Certificate | Meaning, How Can We Get Provisional Certificate?
  • Happiness Essay | Essay on Happiness for Students and Children in English
  • Bahuvrihi Samas – बहुव्रीहि समास – परिभाषा, उदाहरण, भेद, सूत्र, अर्थ
  • Speech On Knowledge Is Power | Knowledge is Power Speech for Students and Children in English  
  • Who Inspires You Essay | My Biggest Inspiration Essay, Person Who Inspired Me Essay 
  • Dog Essay | Essay on Dog for Students and Children in English
  • Paragraph On Work Is Worship 100, 150, 200, 250 to 300 Words for Kids, Students And Children
  • 10 Lines on National Flag of India for Students and Children in English

Footer

  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • Picture Dictionary
  • English Speech
  • ICSE Solutions
  • Selina ICSE Solutions
  • ML Aggarwal Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC
  • Distance Education
DisclaimerPrivacy Policy
Area Volume Calculator