Question: (a) True or false: P(A|B) + P(A|B c ) = 1. Either show it true for any event A and B or exhibit a counter-example.

(a) True or false: P(A|B) + P(A|Bc) = 1. Either show it true for any event A and B or exhibit a counter-example.

(b) True or false: P(A|B) + P(Ac|B) = 1. Either show it true for any event A and B or exhibit a counter-example.

Step by Step Solution

★★★★★

3.28 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a False b True ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Probability With Applications Questions!

Q:

A Gallup survey of 1001 randomly selected U.S. adults conducted May 2011 asked, In your opinion, which one of the following is the main reason why students get education beyond high school?...

Q:

You are taking a test that has true or false and multiple choice questions. The event choosing false on a true or false question and choosing A or B on a multiple choice question is a simple event....

Q:

Fill in the blanks or answer true or false. The initial-value problem x dy/dx - 4y = 0, y(0) = k, has an infinite number of solutions for k =______ and no solution for k = _____ .

Q:

1. The propositional variables, p, q, and s have the following truth assignments: p = T, q = T, s = F. Give the truth value for the following compound propositions: a. p q b. (p q) s c. p (q s) d. p...

Q:

please help with 1- 12 A hypothesis test is the following. a descriptive technique that allows researchers to describe a sample O a descriptive technique that allows researchers to describe a...

Q:

STATISTICS (STAT-101) Marks- 60 Answer all the Questions on the same question paper. Section-I State whether the following statements are True or False. (15 marks, 1 Mark Each) 1. The amount of milk...

Q:

5. Find the direction and magnitude of the net force exerted on the point charge q3 in the figure. Let q=+2.4uC and d=30cm. Complete the table to aid your answer. FORCE x-componenty-component T F 2...

Q:

Question 1 5 pts (03.01 LC) Triangle J'K'L' shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation: K 39 10 11 12 13 14 Which scale factor was used to create...

Q:

1.) 2.) 3.) 4.) 1.) Ans : True Explanation : 1 1 1 1 1 1 P ( A )=P ( a ) + P ( b )= + = P ( B ) =P ( b ) + P ( c ) = + = 4 4 2 4 4 2 Since A B= { a ,b } { b , c }={ b } 1 P ( AB )=P ( b ) = 4 1 Here...

Q:

In c++ the program needs to create one TextRectangle for every word in the sentence and calculates the TextRectangle width according to the number of characters main_gui.cpp // main.cpp #include...

Q:

Multiple Choice Questions: 1. An information system that supports a particular area of an organization, such as production or marketing, is called a: a. distributed data processing system. b....

Q:

in finity n+2" " find the radius of convergence of the series summation of (n^4)*(2^n)*(x^n)) with n 1 to n=1 %3D infinity.

Q:

Simplify the expression ( 1 4 fg ^ ( 2 ) h ^ ( 2 ) ) ( 3 f ^ ( 4 ) g ^ ( 2 ) h ^ ( 2 ) ) . Write the variables in alphabetical order.

Q:

=+ (c) Show that n1/2l (0) d N(0, 2) as n , and determine 2. (d) Show that there is a sequence of positive random variables n and a constant c > 0 such that n P

Q:

Use these dataincidents of reports of underage drinkingto perform the following: Dry campus, state school: 47, 52, 27, 50 Dry campus, private school: 25, 33, 31 Wet campus, state school: 77, 61, 55,...

Q:

Using what you know about the expanded source table, fill in the missing values in the table shown here: df Source SS MS Gender 248.25 Parenting style 84.34 33.60 Gender X style Within 1107.2 36...

Q:

Using the information in the source table provided here, compute R 2 values for each effect. Using Cohens conventions, explain what these values mean. df Source SS MS A (rows) 0.267 0.267 0.004 B...

Q:

A publicly held corporation must publish an annual report that contains the balance sheet, income statement, statement of cash flows, statement of retained earnings, and other financial information...

Q:

There are three highways from city A to city B, three highways from city B to city C, and two highways from city C to city D. How many different highway routes ar there from city A to city D? highway...

Q:

One year ago, Peyton purchased 3,600 shares of Broncos stock for $101,124. Today, he sold those shares for $26.60 a share. What is the total return on this investment if the dividend yield is 1.9...