Classical Probability: Definitions and Properties

Module 01 - Lecture 04 - Classical Probability - Definitions and Properties Here is an outline of what we cover in this video: Review the definition of Classical probability Present six properties possessed by Classical probability Give detailed proofs of all six properties List the general steps that we have used in proving properties possessed by Classical probability Next lecture in this series: https://youtu.be/e2ytLuqPncM Previous lecture in this series: https://youtu.be/SgpmJT1i-Qo First lecture in this series: https://youtu.be/ejd4M4bNX78 Course playlist:https: //www.youtube.com/playlist?list=PLyq-3DNuZLa06op0QTfax6QAx4BZR51A3 Chapters 0:00 Intro Video and Music 0:20 Introduction 0:27 Outline 0:49 Definition of Classical Probability 1:48 Properties Possessed by Classical Probability 5:41 Proofs of Properties Possessed by Classical Probability 5:47 Proof of Property 1 - The probability of any event is always between 0 and 1 7:16 Proof of Property 2 - If event A implies event B, then P(A) is less than or equal to P(B) 9:07 Proof of Property 3 - General Addition Rule 11:44 Proof of Property 4 - Special Addition Rule 13:10 Proof of Property 5 - Bonferroni Inequality 14:40 Proof of Property 6 - Complement Rule 16:15 General Steps Involved in Proving the Properties of Classical Probability 17:16 Summary and Outro