Solution Found!
Show that if E1, E2,…, En are events from a finite sample
Chapter 10, Problem 15E(choose chapter or problem)
Show that if \(E_{1}, E_{2}, \ldots, E_{n}\) are events from a finite sample space, then
\(p\left(E_{1} \cup E_{2} \cup \ldots \cup E_{n}\right) & \leq p\left(E_{1}\right)+p\left(E_{2}\right)+\cdots+p\left(E_{n}\right)\)
This is known as Boole's inequality.
Equation Transcription:
E1, E2, ... ,En
Text Transcription:
E_1, E_2, ... ,E_n
Questions & Answers
QUESTION:
Show that if \(E_{1}, E_{2}, \ldots, E_{n}\) are events from a finite sample space, then
\(p\left(E_{1} \cup E_{2} \cup \ldots \cup E_{n}\right) & \leq p\left(E_{1}\right)+p\left(E_{2}\right)+\cdots+p\left(E_{n}\right)\)
This is known as Boole's inequality.
Equation Transcription:
E1, E2, ... ,En
Text Transcription:
E_1, E_2, ... ,E_n
ANSWER:Step 1 of 4
We can start with the simplest non trivial case, namely
We want to show that
