A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
13th Edition
ISBN: 9780135183885
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 11.4A, Problem 18A
To determine
a.
To find:
The number of dots are on the (i) bottom of the die; (ii) left side of the die
To determine
b.
To sketch:
A net for the die, indicating the number of dots on each side.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane.
Select an Answer
u =
3
1.
-10
8-8
-2
,v=
5
Select an Answer
-2
u =
3
4
2.
+
9
,v=
6
Refer to page 20 for orthogonalizing a set of vectors using the Gram-Schmidt process.
Instructions:
• Apply the Gram-Schmidt procedure to the given set of vectors, showing all projections and
subtractions step-by-step.
• Normalize the resulting orthogonal vectors if required.
• Verify orthogonality by computing dot products between the vectors.
Link:
[https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]
Refer to page 54 for solving the wave equation.
Instructions:
•
Apply d'Alembert's solution method or separation of variables as appropriate.
•
Clearly show the derivation of the general solution.
• Incorporate initial and boundary conditions to obtain a specific solution. Justify all
transformations and integrations.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440AZF/view?usp=sharing]
Chapter 11 Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Ch. 11.1 - MATHEMATICAL CONNECTIONS In the drawings below, we...Ch. 11.1 - If two lines, a and b, are perpendicular to the...Ch. 11.1 - Straight railroad tracks are sometime considered a...Ch. 11.1 - MATHEMATICAL CONNECTIONS Circles with the same...Ch. 11.1 - MATHEMATICAL CONNECTIONS The drawing below shows a...Ch. 11.1 - Answer each of the following and explain your...Ch. 11.1 - Given a line and a point not on the line, explain...Ch. 11.1 - How are pairs of parallel lines and skew lines a....Ch. 11.1 - Is it possible for ABC to have vertex C? Why?Ch. 11.1 - If planes and are distinct planes having points...
Ch. 11.1 - MATHEMATICAL CONNECTIONS A line n is perpendicular...Ch. 11.1 - Prob. 13MCCh. 11.1 - MATHEMATICAL CONNECTIONS a. Sketch three rays that...Ch. 11.1 - Identify a physical object within the classroom to...Ch. 11.1 - Prob. 17MCCh. 11.1 - Prob. 18MCCh. 11.1 - Bonn named the line below as ABC. How do you...Ch. 11.1 - A student says that ABBA because AB starts at A...Ch. 11.1 - Lu claims that a line segment has a finite number...Ch. 11.1 - A student claims that if any two planes that do...Ch. 11.1 - A student says that it is actually impossible to...Ch. 11.1 - Cade claims that to make the measure of an angle...Ch. 11.1 - A student says there can be only 360 different...Ch. 11.1 - MATHEMATICAL CONNECTIONS On the School Book Page...Ch. 11.1 - On the School Book Page on page 663, compare the...Ch. 11.1 - A formal definition of a line segment is as a...Ch. 11.1 - Prob. 1NAEPCh. 11.1 - Lines a and b are parallel to each other. Lines c...Ch. 11.1 - Prob. 3NAEPCh. 11.1 - In the map above, which two streets appear to be...Ch. 11.1A - Label each of the following as true or false. If...Ch. 11.1A - Prob. 2ACh. 11.1A - Name two rays that contain a. BC. b. EG.Ch. 11.1A - Given three collinear points A,B,C with B between...Ch. 11.1A - Prob. 5ACh. 11.1A - a. Points A,B,C and D are collinear. In how many...Ch. 11.1A - The following figure is a rectangular box in which...Ch. 11.1A - Assessment Use the following drawing of one of the...Ch. 11.1A - ASSESSMENT Trace each of the following drawings....Ch. 11.1A - ASSESSMENT Determine how many acute angles are...Ch. 11.1A - Identify a physical model for each of the...Ch. 11.1A - Find the measure of each of the following angles....Ch. 11.1A - Assessment a. Perform each of the following...Ch. 11.1A - Assessment Consider a correctly set clock that...Ch. 11.1A - In parts a and b of the following figures,...Ch. 11.1A - Prob. 18ACh. 11.1A - Prob. 19ACh. 11.1A - ASSESSMENT An angle of elevation on an object is...Ch. 11.1A - ASSESSMENT Describe the size of the angles of the...Ch. 11.1B - Label each of the following as true or false. If...Ch. 11.1B - Let C be the set of coplanar lines with a given...Ch. 11.1B - ASSESSMENT Name three points that are not...Ch. 11.1B - ASSESSMENT In each of the following pairs,...Ch. 11.1B - ASSESSMENT On the dot paper below, draw all...Ch. 11.1B - Prob. 7ACh. 11.1B - ASSESSMENT The following figure is a box in which...Ch. 11.1B - Prob. 9ACh. 11.1B - ASSESSMENT Describe each of the following sets of...Ch. 11.1B - ASSESSMENT Determine the number of obtuse angles...Ch. 11.1B - Identify a physical model for each of the...Ch. 11.1B - ASSESSMENT Find the measures of each of the...Ch. 11.1B - a. Perform a following operations. Leave your...Ch. 11.1B - Prob. 15ACh. 11.1B - Assessment In each of the following figures,...Ch. 11.1B - Prob. 17ACh. 11.1B - ASSESSMENT In the figure below, O is the center of...Ch. 11.1B - If the measure of A is 30 more than twice the...Ch. 11.1B - The figure below shows different types of cuts:...Ch. 11.1B - ASSESSMENT An angle of depression on an object is...Ch. 11.1B - Describe the size of the angles of the pie-shaped...Ch. 11.2 - Prob. 1MCCh. 11.2 - Classify each of the following as true or false....Ch. 11.2 - MATHEMATICAL CONNECTIONS Copy and complete...Ch. 11.2 - MATHEMATICAL CONNECTIONS On a geoboard or dot...Ch. 11.2 - Prob. 6MCCh. 11.2 - Prob. 7MCCh. 11.2 - Milli claims that a rhombus is regular because all...Ch. 11.2 - Jano heard a student say that all squares are...Ch. 11.2 - A student asks if ABCD is a valid name for the...Ch. 11.2 - MATHEMATICAL CONNECTIONS A student claims that all...Ch. 11.2 - MATHEMATICAL CONNECTIONS Two students are thinking...Ch. 11.2 - MATHEMATICAL CONNECTIONS On the School Book Page...Ch. 11.2 - Prob. 15MCCh. 11.2 - Prob. 16MCCh. 11.2 - Prob. 17MCCh. 11.2 - Prob. 18MCCh. 11.2 - Prob. 19MCCh. 11.2 - Which of the following figures can be formed by...Ch. 11.2 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 11.2 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 11.2A - Can a regular polygon be concave? Explain.Ch. 11.2A - Determine which of the following figures labeled 1...Ch. 11.2A - What is the maximum number of intersection points...Ch. 11.2A - What type of polygon must have a diagonal such...Ch. 11.2A - Describe the shaded region as simply as possible.Ch. 11.2A - If possible, draw the following triangles. If it...Ch. 11.2A - Identify each of the following triangles as...Ch. 11.2A - Determine how many diagonals each of the following...Ch. 11.2A - Draw all lines of symmetry if any exist for each...Ch. 11.2A - Various international signs have symmetries....Ch. 11.2A - Prob. 12ACh. 11.2A - Design symbols that have each of the following...Ch. 11.2A - In each of the following figures, complete the...Ch. 11.2A - Prob. 15ACh. 11.2A - Prob. 16ACh. 11.2A - Complete the following figures so that they have...Ch. 11.2A - Prob. 18ACh. 11.2A - The photograph below is of a Taj Mahal tiling....Ch. 11.2A - Prob. 20ACh. 11.2B - ASSESSMENT Which of the following figures are...Ch. 11.2B - ASSESSMENT Determine which of the following...Ch. 11.2B - ASSESSMENT What is the maximum number of...Ch. 11.2B - ASSESSMENT A pentagon has only two diagonals that...Ch. 11.2B - ASSESSMENT Describe the shaded region as simply as...Ch. 11.2B - Prob. 6ACh. 11.2B - ASSESSMENT Identify each of the following...Ch. 11.2B - Prob. 8ACh. 11.2B - Prob. 9ACh. 11.2B - Prob. 10ACh. 11.2B - Prob. 11ACh. 11.2B - Prob. 12ACh. 11.2B - Prob. 13ACh. 11.2B - Prob. 14ACh. 11.2B - Prob. 15ACh. 11.2B - Prob. 16ACh. 11.2B - Prob. 17ACh. 11.2B - Prob. 18ACh. 11.2B - Prob. 19ACh. 11.2B - Prob. 20ACh. 11.3 - Prob. 1MCCh. 11.3 - Prob. 2MCCh. 11.3 - Prob. 3MCCh. 11.3 - Prob. 4MCCh. 11.3 - Prob. 5MCCh. 11.3 - Prob. 6MCCh. 11.3 - Prob. 7MCCh. 11.3 - Prob. 8MCCh. 11.3 - Regular hexagons have been used to tile floors....Ch. 11.3 - Lines a and b are cut by transversals c and d. If...Ch. 11.3 - A beam of light from A hits the surface of a...Ch. 11.3 - Find a possible set of measures of the interior...Ch. 11.3 - Draw three different concave polygons. When you...Ch. 11.3 - Draw three concave polygons. Measure all the...Ch. 11.3 - Jan wants to make tiles in the shape of a convex...Ch. 11.3 - A student wonders if there exists a convex decagon...Ch. 11.3 - A student wants to know if a triangle can have two...Ch. 11.3 - In each of the following, name the required...Ch. 11.3 - Prob. 21MCCh. 11.3 - Prob. 22MCCh. 11.3 - Design symbols that have each of the following...Ch. 11.3 - Prob. 24MCCh. 11.3 - Explain whether the following quilt patterns have...Ch. 11.3 - Find the lines of symmetry, if any, for each of...Ch. 11.3 - Prob. 1NAEPCh. 11.3 - In the given figure, what is the measure of angle...Ch. 11.3 - Prob. 3NAEPCh. 11.3 - Prob. 4NAEPCh. 11.3A - If three lines all meet in a single point, how...Ch. 11.3A - Prob. 2ACh. 11.3A - Find the measure of a complementary angle, a...Ch. 11.3A - Assessment In ABC, the measure of B is three times...Ch. 11.3A - Prob. 5ACh. 11.3A - Prob. 6ACh. 11.3A - Prob. 7ACh. 11.3A - Prob. 8ACh. 11.3A - Prob. 9ACh. 11.3A - Prob. 10ACh. 11.3A - Find the sum of the measures of the numbered...Ch. 11.3A - Prob. 12ACh. 11.3A - Prob. 13ACh. 11.3A - Prob. 14ACh. 11.3A - Prob. 15ACh. 11.3A - Prob. 16ACh. 11.3A - Prob. 17ACh. 11.3A - Find the measures of ange 1, 2, and 3 given that...Ch. 11.3A - Prob. 19ACh. 11.3A - Prob. 20ACh. 11.3A - Prob. 21ACh. 11.3A - Assessment 11-3A If m(2)=m(3), prove m(1)=m(4).Ch. 11.3A - a. Find the measure of an interior angle of a...Ch. 11.3A - Prob. 24ACh. 11.3A - Suppose a circle circumscribes contains every...Ch. 11.3A - Assessment 11-3A Suppose an isosceles trapezoid...Ch. 11.3B - If two planes intersect in a single line forming...Ch. 11.3B - Assessment 11-3B Find the measures of angle marked...Ch. 11.3B - Prob. 3ACh. 11.3B - Assessment 11-3B An angle measures 15 more than 4...Ch. 11.3B - Prob. 5ACh. 11.3B - Prob. 6ACh. 11.3B - Prob. 7ACh. 11.3B - In part (a), prove that kl .In parts (b)and(c),...Ch. 11.3B - Prob. 9ACh. 11.3B - Prob. 10ACh. 11.3B - Prob. 11ACh. 11.3B - Calculate the measure of each angle of a pentagon,...Ch. 11.3B - The sides of DEF are parallel to the sides of BCA....Ch. 11.3B - In each of the following figures, find the...Ch. 11.3B - Prob. 15ACh. 11.3B - Prob. 16ACh. 11.3B - Prob. 17ACh. 11.3B - Find the measure of x in the figure below.Ch. 11.3B - Prob. 19ACh. 11.3B - Prob. 20ACh. 11.3B - Given the figure shown with AXDY, find the...Ch. 11.3B - Prob. 22ACh. 11.3B - a. Find the measure of an interior angle of a...Ch. 11.3B - Prob. 24ACh. 11.3B - Suppose a circle circumscribes contains every...Ch. 11.3B - Prob. 26ACh. 11.4 - How many possible pairs of bases does a right...Ch. 11.4 - Prob. 2MCCh. 11.4 - Prob. 3MCCh. 11.4 - What is the name of a pyramid that has 9 vertices?Ch. 11.4 - Prob. 5MCCh. 11.4 - What is the minimum number of faces that intersect...Ch. 11.4 - Sketch at least 2 nets for the prism shown below.Ch. 11.4 - Jon asks why a sphere is not a polyhedron. How do...Ch. 11.4 - Prob. 13MCCh. 11.4 - Joay asks if his soccer ball is a regular...Ch. 11.4 - Jed has a model of a tetrahedron shown below and...Ch. 11.4 - A net for a right cylinder consists of two figures...Ch. 11.4 - Sketch a net for the lateral surface of a right...Ch. 11.4 - Find the supplement of 181342.Ch. 11.4 - Prob. 20MCCh. 11.4 - Can two adjacent angles be vertical angles?...Ch. 11.4 - How many diagonals are there in a decagon?Ch. 11.4 - In a regular 20-gon, what is the measure of each...Ch. 11.4 - If mn find m(1).Ch. 11.4 - The solids shown have bases that are regular...Ch. 11.4 - Kyle makes a 3-dimensional shape using 3...Ch. 11.4 - Prob. 3NAEPCh. 11.4 - The figure above shown a pyramid with a square...Ch. 11.4 - Which of the following geometric solids has both...Ch. 11.4A - Identify each of the following polyhedral. If a...Ch. 11.4A - Prob. 2ACh. 11.4A - Given the tetrahedron shown, name the following....Ch. 11.4A - Prob. 4ACh. 11.4A - Prob. 5ACh. 11.4A - Prob. 6ACh. 11.4A - Classify each of the following statements as true...Ch. 11.4A - Prob. 8ACh. 11.4A - Prob. 9ACh. 11.4A - Sketch a pyramid that is hexahedron six facesCh. 11.4A - Prob. 11ACh. 11.4A - Prob. 12ACh. 11.4A - Prob. 13ACh. 11.4A - Name the intersection of each of the following...Ch. 11.4A - Prob. 15ACh. 11.4A - Prob. 16ACh. 11.4A - Prob. 17ACh. 11.4A - Prob. 18ACh. 11.4A - Prob. 19ACh. 11.4A - On the left of each of the following figures is a...Ch. 11.4B - Identify each of the following three-dimensional...Ch. 11.4B - The following are pictures of solid cubes lying on...Ch. 11.4B - Prob. 4ACh. 11.4B - Prob. 5ACh. 11.4B - Determine the minimum number of edges possible for...Ch. 11.4B - Prob. 8ACh. 11.4B - Prob. 9ACh. 11.4B - Prob. 10ACh. 11.4B - Prob. 11ACh. 11.4B - Prob. 12ACh. 11.4B - Prob. 13ACh. 11.4B - Prob. 14ACh. 11.4B - Prob. 15ACh. 11.4B - A diagonal of a prism is any segment determined by...Ch. 11.4B - Name the polyhedron that can be constructed using...Ch. 11.4B - On the left of each of the following figure is a...Ch. 11.4B - Answer each of the following questions about a...Ch. 11.4B - A soccer ball resembles a polyhedron with 32 faces...Ch. 11.CR - Prob. 1CRCh. 11.CR - Prob. 3CRCh. 11.CR - Prob. 4CRCh. 11.CR - Prob. 5CRCh. 11.CR - a. Can a triangle have two obtuse angles? Justify...Ch. 11.CR - In a certain triangle, the measure of one angle is...Ch. 11.CR - If ABC is a right angles triangle and m(A)=42,...Ch. 11.CR - Prob. 9CRCh. 11.CR - Prob. 10CRCh. 11.CR - Prob. 11CRCh. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - Prob. 14CRCh. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 18CRCh. 11.CR - Prob. 19CRCh. 11.CR - Prob. 20CRCh. 11.CR - Prob. 21CRCh. 11.CR - Prob. 22CRCh. 11.CR - Sketch three planes that intersect in a point. a....Ch. 11.CR - In each of the following figures, determine the...Ch. 11.CR - Prob. 25CRCh. 11.CR - Prob. 27CRCh. 11.CR - Verify Eulers formula (VE+F=2) for figures d, e,...Ch. 11.CR - Prob. 29CRCh. 11.CR - Prob. 30CRCh. 11.CR - Carefully draw nets that can be folded into each...Ch. 11 - Now try this a. Can skew lines have a point in...Ch. 11 - Now try this Convert 8.42 to degrees, minutes and...Ch. 11 - Prob. 5NTCh. 11 - Prob. 8NT
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Refer to page 14 for calculating eigenvalues and eigenvectors of a matrix. Instructions: • Compute the characteristic polynomial by finding the determinant of A - XI. • Solve for eigenvalues and substitute them into (A - I) x = 0 to find the eigenvectors. • Normalize the eigenvectors if required and verify your results. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardExilet x = {a,b.c}dex.x―R> d(a,b) = d(b, c)=1' d(a, c) = 2 d(xx)=0VXEX is (x.d) m.s or not? 3.4 let x= d ((x,y), (3arrow_forwardHiw Show that sup (0,1) = 1 الفصل الثاني * Dif: let {an} be Seq. then fan?arrow_forward
- There are four white, fourteen blue and five green marbles in a bag. A marble is selected from the bag without looking. Find the odds of the following: The odds against selecting a green marble. The odds in favour of not selecting a green marble The odds in favor of the marble selected being either a white or a blue marble. What is true about the above odds? Explainarrow_forwardQ2/ Determine the size of square footing to carry net allowable load of 400 kN. FS-3. Use Terzaghi equation assuming general shear failure. 400KN 1 m += 35" C=0.0 Ya = 18.15 kN/m³ +=25" C=50 kN/m² Ya 20 kN/m³arrow_forward4 x+3 and g(x)=x2-9 4X-10 2X --13) The domain of rational expression A) 1R. {-2,-8} AB -14) Let f(x) = B) 1R. {2,-4,-8} 4X-12 x² +6x-16 X3+7X²+12X ? C) 1R \ {-4,-3,0} then f(x) + g(x) is equal ro D) IR 2 A) B) c) D) x²-9 x2-9 x²-9 x+4 DB 5x-4 A B If + then the value of B is equal to X+1 A) 4 B) 2 C) 5 D) 3 4X 4x+4 С.В.... x2+5X+6 x2 (x-2)(x+1) X-2 AC 16 The solution set of the equation A){4} B) {-3} C){ 1} 17 The solution set of the equation A) (-3,-2) B) [-3,0) C)[-3,-2] D). [-2,0) BA -18) Which one of the following is proper fraction? 2x+4 ≤0 入×1 x+2x+4 (x+1)(x+2) 2x+4x+2 = 4 X+1 is equal to D). {-5} ≤0 A) x6 +4 2x+12 2X x +4 B) c) x2-9 AL 2x+12 D) x+4 14) let g(x) = [x-3],then g(-2) is equal to A) -5 B)-6 C)-3 D) 3 Part III work out (show every step cleary) (2pt) 20. E9) Find the solution set of the equation 2x+4 x+1 ≤0 P(x) (a) P(x) =≤0 2x+4 50 x+1 x+1≤ 2x+4 (x-1)(x-2) x= 1 or x=2 solution is {1.2} x-1=0 of x-2=0 x = 1 or = 2arrow_forward
- Please show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forwardPlease show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forwardPlease show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forward
- The probability of being born in a particular month is about 1:12. Determine the probability of not being born in September. Express this ratio as a fraction, a decimal, a percent and in words.arrow_forwardIn his first hockey game of the season, Brayden takes a total of 10 shots on the goalie and scores 1 time. Later in the season, he takes 30 shots in total on the goalie. How many goals would you expect him to make? What assumptions are making? Are your assumptions realistic? Explain.arrow_forwardThe probability of being born in a particular month is about 1:12. Determine the probability of not being born in September. Express this ratio as a fraction, a decimal, a percent and in words.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Bayes' Theorem 1: Introduction and conditional probability; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lQVkXfJ-rpU;License: Standard YouTube License, CC-BY
What is Conditional Probability | Bayes Theorem | Conditional Probability Examples & Problems; Author: ACADGILD;https://www.youtube.com/watch?v=MxOny_1y2Q4;License: Standard YouTube License, CC-BY
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=OByl4RJxnKA;License: Standard YouTube License, CC-BY
Bayes' Theorem - The Simplest Case; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=XQoLVl31ZfQ;License: Standard Youtube License