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CO2412 Computational Thinking Lecture 19 Notes
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  • Course
  • Computational Thinking (CO2412)
  • Institution
  • University Of Central Lancashire Preston (UClan)

This document contains comprehensive notes from Lecture 19 of the CO2412 course on Computational Thinking, focusing on key probability concepts essential for exam preparation. The lecture provides a detailed review of mutually exclusive and collectively exhaustive events, joint and marginal probabi...

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Document information

  • August 20, 2024
  • 3
  • 2023/2024
  • Class notes
  • Amin amini
  • All classes

Subjects

  • computer science
  • computational
  • python
  • algorithms
  • university
  • computer
  • 2nd year
  • efficiency
  • lecture
  • cs
  • notes

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  • University of Central Lancashire Preston (UClan)
  • Unknown
  • Computational Thinking (CO2412)
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CO2412: Computational Thinking
Lecture 19 – Exam Revision 02

Mutually Exclusive Events
1. Definition
o Mutually Exclusive Events are events that cannot occur
simultaneously.
o Example:

 A = Queen of Diamonds
 B = Queen of Clubs
 Events A and B are mutually exclusive because a single card
cannot be both.
Collectively Exhaustive Events
1. Definition
o Collectively Exhaustive Events cover the entire sample space,
meaning one of the events must occur.
o Example:

 A = Aces
 B = Black Cards
 C = Diamonds
 D = Hearts
 Events B, C, and D are collectively exhaustive and mutually
exclusive since each event covers a distinct part of the
sample space.
2. Example with Coin Toss
o When tossing a coin, the outcomes "Head" (H) and "Tail" (T) are
mutually exclusive and collectively exhaustive.
o Probability of H = 1/2, Probability of T = 1/2, Sum = 1.

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