Relative Frequency Probability: Definition and Properties

Module 01 - Lecture 05 - Relative Frequency Probability: Definition and Properties Here is an outline of what we cover in this video: Review the definition of Relative Frequency probability Present six properties possessed by Relative Frequency probability Give detailed proofs of all six properties explicitly using the definition of Relative Frequency probability List the general steps that we have used in proving properties possessed by Relative Frequency probability Next lecture in this series: Previous lecture in this series: https://youtu.be/dC8RsB_ND_M 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 0:39 Outline 1:05 Review of the Definition of Relative Frequency Probability 2:44 Properties Possessed by Relative Frequency Probability 7:30 Proofs of Properties Possessed by Relative Frequency Probability 7:39 Proof of Property 1 - The probability of any event is always between 0 and 1 9:52 Proof of Property 2 - If event A implies event B, then P(A) is less than or equal to P(B) 12:01 Proof of Property 3 - General Addition Rule 15:46 Proof of Property 4 - Special Addition Rule 18:00 Proof of Property 5 - Bonferroni Inequality 20:06 Proof of Property 6 - Complement Rule 22:36 General Steps Involved in Proving the Properties of Relative Frequency Probability 23:58 Summary 24:33 Wrap-up and Outro