Let A,B,and C be events relating to the experiment of

Chapter 3, Problem 8TE

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 8TE

Let A,B,and C be events relating to the experiment of rolling a pair of dice.

(a) If

either prove that P(A)> P(B)or give a counterexample by defining events A, B,and Cfor which that relationship is not true.

(b) If

either prove that P(AB|C)> P(AB|CC) or give a counterexample by defining events A, B,and C for which that relationship is not true.

Questions & Answers

QUESTION:

Problem 8TE

Let A,B,and C be events relating to the experiment of rolling a pair of dice.

(a) If

either prove that P(A)> P(B)or give a counterexample by defining events A, B,and Cfor which that relationship is not true.

(b) If

either prove that P(AB|C)> P(AB|CC) or give a counterexample by defining events A, B,and C for which that relationship is not true.

ANSWER:

Step 1 of 2

Given that A,B and C are events relating in the experiment of rolling a pair of die

a) We have to prove that

Given that

                 

Let us consider is conditioning on C and Cc 

Then [By using the given inequalities]

                 

 Then

Hence we proved that

 

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back