This document is a worksheet containing probability problems. It includes 15 multiple choice and short answer problems about calculating probabilities of events occurring in situations like selecting items randomly from groups. It also provides the answers and explanations for each problem.
Benedict Arnold began as a hero of the Revolutionary War, but later became a traitor. He was born in 1741 to a wealthy family and showed early promise as a militia leader and colonel. Arnold led successful attacks on Fort Ticonderoga and Quebec, displaying courage and leadership. However, he grew disillusioned with the lack of recognition and support from the Continental Congress. After accusations of misconduct, Arnold switched sides and informed the British of plans to surrender West Point. He was later appointed a British general and spent his final years in poverty in London.
This document provides information about Black history and the Black Lives Matter movement through various sections. It begins with a list of important figures in Black history and movements for Black equality. It then provides quick facts about Black inventors and their inventions. The document continues with quotes from influential Black leaders, statistics about racial inequities, and recommendations for promoting racial justice. It concludes by listing additional resources such as books, audios, films and websites for learning more about Black history and racial issues.
This document is a worksheet containing probability problems. It includes 15 multiple choice and short answer problems about calculating probabilities of events occurring in situations like selecting items randomly from groups. It also provides the answers and explanations for each problem.
I am Christopher, T.I am a Mathematics Assignment Expert at eduassignmenthelp.com. I hold a PhD. in Mathematics, University of Alberta, Canada. I have been helping students with their Assignments for the past 7 years. I solve assignments related to Mathematics.
Visit eduassignmenthelp.com or email info@eduassignmenthelp.com . You can also call on +1 678 648 4277 for any assistance with Mathematics Assignments.
Probability of Simple and Compound EventsJoey Valdriz
This document contains a lesson plan on probability for students. It begins with definitions of key probability terms and examples of calculating probabilities of simple and compound events. It then provides word problems for students to practice calculating probabilities. The document concludes with additional practice problems for students to answer. The overall document provides instruction and practice on fundamental concepts in probability.
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 2
Chapter 4: Probability
This document provides an explanation of combination problems and the combination formula. It begins by discussing an example where order is not important in selecting groups. It then introduces the combination formula nCr = n!/(r!(n-r)!) to calculate the number of combinations when order does not matter. Several examples are worked through to demonstrate how to identify combination problems and use the formula. The document also discusses problems that require using both the combination formula and counting principle.
Here are the solutions to the probability questions:
1. The probability of picking a Geometry book first is 3/8. The probability of picking an Algebra book second is 5/7. By the multiplication principle, the probability of picking a Geometry book first and an Algebra book second is (3/8) × (5/7) = 15/56.
2. The probability of picking a vowel (E, O, A) from Bag 1 is 3/5. The probability of picking a consonant (V, L, D, R, Z) from Bag 2 is 5/7. By the multiplication principle, the probability of picking a vowel from Bag 1 and a consonant from Bag 2 is (
Benedict Arnold began as a hero of the Revolutionary War, but later became a traitor. He was born in 1741 to a wealthy family and showed early promise as a militia leader and colonel. Arnold led successful attacks on Fort Ticonderoga and Quebec, displaying courage and leadership. However, he grew disillusioned with the lack of recognition and support from the Continental Congress. After accusations of misconduct, Arnold switched sides and informed the British of plans to surrender West Point. He was later appointed a British general and spent his final years in poverty in London.
This document provides information about Black history and the Black Lives Matter movement through various sections. It begins with a list of important figures in Black history and movements for Black equality. It then provides quick facts about Black inventors and their inventions. The document continues with quotes from influential Black leaders, statistics about racial inequities, and recommendations for promoting racial justice. It concludes by listing additional resources such as books, audios, films and websites for learning more about Black history and racial issues.
This document is a worksheet containing probability problems. It includes 15 multiple choice and short answer problems about calculating probabilities of events occurring in situations like selecting items randomly from groups. It also provides the answers and explanations for each problem.
I am Christopher, T.I am a Mathematics Assignment Expert at eduassignmenthelp.com. I hold a PhD. in Mathematics, University of Alberta, Canada. I have been helping students with their Assignments for the past 7 years. I solve assignments related to Mathematics.
Visit eduassignmenthelp.com or email info@eduassignmenthelp.com . You can also call on +1 678 648 4277 for any assistance with Mathematics Assignments.
Probability of Simple and Compound EventsJoey Valdriz
This document contains a lesson plan on probability for students. It begins with definitions of key probability terms and examples of calculating probabilities of simple and compound events. It then provides word problems for students to practice calculating probabilities. The document concludes with additional practice problems for students to answer. The overall document provides instruction and practice on fundamental concepts in probability.
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 2
Chapter 4: Probability
This document provides an explanation of combination problems and the combination formula. It begins by discussing an example where order is not important in selecting groups. It then introduces the combination formula nCr = n!/(r!(n-r)!) to calculate the number of combinations when order does not matter. Several examples are worked through to demonstrate how to identify combination problems and use the formula. The document also discusses problems that require using both the combination formula and counting principle.
Here are the solutions to the probability questions:
1. The probability of picking a Geometry book first is 3/8. The probability of picking an Algebra book second is 5/7. By the multiplication principle, the probability of picking a Geometry book first and an Algebra book second is (3/8) × (5/7) = 15/56.
2. The probability of picking a vowel (E, O, A) from Bag 1 is 3/5. The probability of picking a consonant (V, L, D, R, Z) from Bag 2 is 5/7. By the multiplication principle, the probability of picking a vowel from Bag 1 and a consonant from Bag 2 is (
The document contains examples and solutions to probability and combinatorics problems. It begins with problems involving counting the possible outcomes of dice rolls, combinations of colored toys, signals using flags, and constructing proteins from amino acids. Subsequent problems include counting subsets of a set, ways to interview families or take a vacation visiting states, true-false tests and multiple choice questions, license plates and telephone numbers, course schedules, party guest lists, word arrangements, seating arrangements, exam question selection, tree arrangements, committee selection, dinner orders, word permutations, and digit combinations with restrictions.
I am Josh U. I am a Probability Assignment Expert at statisticsassignmenthelp.com. I hold a Masters in Statistics from St. Edward’s University, USA.
I have been helping students with their homework for the past 5 years. I solve assignments related to Probability. Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Probability Assignments.
This document contains 10 math word problems about probability. The problems involve calculating probabilities of events occurring based on given sample spaces and conditions. They also involve determining expected values and using probability to solve for unknown quantities.
Combinations refer to arrangements of objects where order does not matter. Permutations refer to arrangements where order is important. The document provides examples of calculating combinations using the "choose" formula on a calculator to find the number of arrangements of objects from a larger set based on the number of objects arranged and the total number of objects. It also discusses using experiments with coins to simulate probability and calculating theoretical probabilities.
1. The standard bowling lane setup has pins arranged in four rows, with the number of pins in each row increasing by one from front to back.
2. If a fifth row is added, the total number of pins can be calculated using the formula for the sum of the first n positive integers, which is n(n+1)/2.
3. For 100 rows of pins, this same formula can be used to calculate that there would be 100*101/2 = 5,050 total pins.
This document provides a chapter test review on probability that includes:
- 3 important things from the chapter: definitions of simple events, tree diagrams, and the fundamental counting principle
- 2 real-world applications: probability of drawing colors from a bag and selecting items to make a sandwich
- 1 remaining question: the difference between theoretical and experimental probability
It then provides examples and problems for each section covered in the chapter on simple events, tree diagrams, permutations, combinations, theoretical vs experimental probability, and independent vs dependent events.
This document contains a mathematics lesson on combinations and permutations. It begins with examples of finding the number of combinations and permutations of letters. It then provides examples of combination word problems involving selecting groups from larger sets, forming committees, handshakes, and selecting exam questions. Applications of combinations in real world scenarios are also discussed, such as lotteries, fruit salads, and polygon formation using points.
This document contains lesson materials on permutations and combinations including examples and explanations. It discusses key concepts such as:
- Permutations involve arrangements where order matters
- The factorial operation (!) is used to write the product of consecutive whole numbers
- The permutation formula nPr is used to calculate the number of arrangements of r objects from a set of n objects
- Examples are provided to demonstrate calculating permutations and combinations in different scenarios like arranging letters, choosing swimmers for lanes, and selecting student government positions.
This document contains 15 multiple choice questions testing concepts in permutations and combinations. Permutations refer to arrangements of distinguishable objects without repetition, while combinations refer to subsets of objects without regard to order. The document also provides examples and formulas for calculating permutations and combinations, including cases where some objects are identical. It defines key permutation terms like factorial and P(n,r) and illustrates their use through examples like finding the number of ways to arrange 5 people for a portrait.
The document discusses permutations and combinations in the context of seating arrangements. It provides examples to determine the number of possible arrangements for seating groups of people. For a group of 3 people, there are 6 possible arrangements. For a group of 5 people, there are 120 possible arrangements, found by multiplying 5 x 4 x 3 x 2 x 1. The document also discusses using permutations and combinations to solve other types of problems involving arrangements and selections where order does or does not matter.
This document contains a math worksheet with word problems involving multiplication. The problems ask students to write multiplication sentences, complete arrays and tables, solve word problems using repeated addition or multiplication, and identify patterns in tables. The document tests students' understanding of representing multiplication as repeated addition and equal groups, using arrays and tables to model multiplication, and applying the commutative and distributive properties of multiplication.
This document contains a quiz with 13 multiple choice questions about permutations, combinations, and the counting principle. Students are asked to identify which type of problem each question involves and use a calculator to find the number of possible outcomes. They are instructed to show their work. The questions cover topics like choosing political candidates and committees, arranging books on a shelf, seating arrangements, selecting basketball teams, inviting friends to a party, and the number of dominoes in different domino sets.
This document contains a collection of probability problems and exercises involving concepts like tree diagrams, counting principles, permutations, combinations, and experimental probability. Questions cover topics like calculating probabilities of compound events, arranging books on a shelf, routes on a map, distributions of groups, and passing a multiple choice test by guessing. The document provides explanations, diagrams and multi-step calculations to work through each probability problem.
1. A document contains sample probability questions and answers about events such as rolling dice, picking cards or balls from boxes, coin tosses, and surveys.
2. The questions ask students to determine the sample space of events, calculate probabilities of outcomes, predict expected numbers of outcomes, and solve for unknown values.
3. The answers provided include writing out sample space elements, listing outcomes, calculating probabilities as fractions or decimals, and finding values that satisfy given probability equations.
1) The probability that all three students test positive on a drug test is 1/8.
2) The mean number of one-year-olds who do not recognize their mother's voice out of a sample of 20 is 2.
3) The probability that Jenny gets heads on the fourth coin flip is 1/2.
1) There are 36 animals altogether in Jacob's flock.
2) Tegwen is part of a family with 9 children.
3) The smallest possible number of integers in the list is 7.
Basic Counting Law Discrete Math Power Point Presentatonedzhoroevastudy
Here are the solutions:
a) 6 x 6 = 36 (there are 2 tasks, rolling the die each time)
b) 6 x 6 x 6 = 216 (there are 3 tasks)
c) 6 x 6 x 6 x 6 = 1,296 (there are 4 tasks)
d) 6^k (by the product rule, there are k tasks, with 6 possible outcomes for each task)
The key idea is that for rolling a die k times, we can view it as k independent tasks, with 6 possible outcomes for each task. Then by the product rule, the total number of outcomes is 6^k.
- The document discusses key concepts in probability such as conditional probability, multiplication theorem, total probability theorem, Bayes' theorem, random variables, probability distributions, mean, variance, Bernoulli trials, and binomial distribution.
- It provides examples and formulas for calculating probabilities of events. It also lists very short answer type, short answer type, and long answer type questions related to probability with answers.
Question 1 In your own words, write a minimum of three sen.docxIRESH3
Question 1
In your own words, write a minimum of three sentences describing the Ashcan school.
Question 2
The new modern artists, such as the Ashcan artist, rejected which American era:
A.
The Age of Enlightenment
B.
The Neoclassical Age
C.
The Gilded Age
D.
The Impressionist Age
Question 3
Robert Henri was a progressive artist. He studied at the Ecole de Beaux Arts in Paris, was influenced by the Impressionists, and even helped organize the Armory Show. However, he was opposed to American artists creating art that too closely followed European styles. What were his opinions when contemplating the idea of a National American Art?
Question 4
Read the text on Marsden Hartley on page 66 of our text. Review his image Portrait of a German Officer and give a two paragraph reaction essay.
Question 5
According to our text, Blank 1 was the first (short lived) non-objective, non-representational modern American art movement.
Question 6
Alfred Stieglitz ran an American gallery from 1908-1917 called Blank 1 . He dedicated this exhibition space to showing avant-garde artists such as John Marin and Arthur Dove.
Question 7
Write a formal analysis of the painting by George Bellows entitled Both Members of this Club, 1909. Start by listing the title, artist, and date of the artwork. Next, imagine that you are writing a letter to a friend who has never seen the painting. Describe the painting in detail. Be sure to analyze the lines, colors, textures, space, and shapes you see in the painting. Finally, write an interpretation of the painting--in other words, explain what the painting says or communicates to you. What function, purpose or idea does the painting represent? You can see an example of this method of analysis at Goya Analysis at http://www.artmuseums.com/goya.htm.
Art analysis question should be no less than 2 or 3 well developed paragraphs.
Question 8
Who was not in the Stieglitz circle of artists?
A.
Arthur Dove
B.
Marsden Hartley
C.
Joseph Stella
D.
Georgia O’Keeffe
Question 9
What was “Fountain” by Marcel Duchamp (R. Mutt)?
Question 10
The artist Blank 1 made paintings that were rejected from the National Academy exhibition. He went on to teach artists to paint with intensity and emotion, and capture the ‘spirit’ of the people and cities of their urban world?
Question 11
According to our text, what was the key difference between Henri and Stieglitz?
Question 12
Which group held an exhibit at the Macbeth Gallery that set America on a course of Modern Art?
STAT 200: Introduction to Statistics Final Examination, Fall 2015 OL1/US1 Page 1 of 6
STAT 200
OL1/US1 Sections
Final Exam
Fall 2015
The final exam will be posted at 12:01 am on October 9, and it
is due at 11:59 pm on October 11, 2015. Eastern Time is our
reference time.
This is an open-book exam. You may refer to your text and other course
materials as you work on the exam, and you may use a calculator. You ...
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
The document contains examples and solutions to probability and combinatorics problems. It begins with problems involving counting the possible outcomes of dice rolls, combinations of colored toys, signals using flags, and constructing proteins from amino acids. Subsequent problems include counting subsets of a set, ways to interview families or take a vacation visiting states, true-false tests and multiple choice questions, license plates and telephone numbers, course schedules, party guest lists, word arrangements, seating arrangements, exam question selection, tree arrangements, committee selection, dinner orders, word permutations, and digit combinations with restrictions.
I am Josh U. I am a Probability Assignment Expert at statisticsassignmenthelp.com. I hold a Masters in Statistics from St. Edward’s University, USA.
I have been helping students with their homework for the past 5 years. I solve assignments related to Probability. Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Probability Assignments.
This document contains 10 math word problems about probability. The problems involve calculating probabilities of events occurring based on given sample spaces and conditions. They also involve determining expected values and using probability to solve for unknown quantities.
Combinations refer to arrangements of objects where order does not matter. Permutations refer to arrangements where order is important. The document provides examples of calculating combinations using the "choose" formula on a calculator to find the number of arrangements of objects from a larger set based on the number of objects arranged and the total number of objects. It also discusses using experiments with coins to simulate probability and calculating theoretical probabilities.
1. The standard bowling lane setup has pins arranged in four rows, with the number of pins in each row increasing by one from front to back.
2. If a fifth row is added, the total number of pins can be calculated using the formula for the sum of the first n positive integers, which is n(n+1)/2.
3. For 100 rows of pins, this same formula can be used to calculate that there would be 100*101/2 = 5,050 total pins.
This document provides a chapter test review on probability that includes:
- 3 important things from the chapter: definitions of simple events, tree diagrams, and the fundamental counting principle
- 2 real-world applications: probability of drawing colors from a bag and selecting items to make a sandwich
- 1 remaining question: the difference between theoretical and experimental probability
It then provides examples and problems for each section covered in the chapter on simple events, tree diagrams, permutations, combinations, theoretical vs experimental probability, and independent vs dependent events.
This document contains a mathematics lesson on combinations and permutations. It begins with examples of finding the number of combinations and permutations of letters. It then provides examples of combination word problems involving selecting groups from larger sets, forming committees, handshakes, and selecting exam questions. Applications of combinations in real world scenarios are also discussed, such as lotteries, fruit salads, and polygon formation using points.
This document contains lesson materials on permutations and combinations including examples and explanations. It discusses key concepts such as:
- Permutations involve arrangements where order matters
- The factorial operation (!) is used to write the product of consecutive whole numbers
- The permutation formula nPr is used to calculate the number of arrangements of r objects from a set of n objects
- Examples are provided to demonstrate calculating permutations and combinations in different scenarios like arranging letters, choosing swimmers for lanes, and selecting student government positions.
This document contains 15 multiple choice questions testing concepts in permutations and combinations. Permutations refer to arrangements of distinguishable objects without repetition, while combinations refer to subsets of objects without regard to order. The document also provides examples and formulas for calculating permutations and combinations, including cases where some objects are identical. It defines key permutation terms like factorial and P(n,r) and illustrates their use through examples like finding the number of ways to arrange 5 people for a portrait.
The document discusses permutations and combinations in the context of seating arrangements. It provides examples to determine the number of possible arrangements for seating groups of people. For a group of 3 people, there are 6 possible arrangements. For a group of 5 people, there are 120 possible arrangements, found by multiplying 5 x 4 x 3 x 2 x 1. The document also discusses using permutations and combinations to solve other types of problems involving arrangements and selections where order does or does not matter.
This document contains a math worksheet with word problems involving multiplication. The problems ask students to write multiplication sentences, complete arrays and tables, solve word problems using repeated addition or multiplication, and identify patterns in tables. The document tests students' understanding of representing multiplication as repeated addition and equal groups, using arrays and tables to model multiplication, and applying the commutative and distributive properties of multiplication.
This document contains a quiz with 13 multiple choice questions about permutations, combinations, and the counting principle. Students are asked to identify which type of problem each question involves and use a calculator to find the number of possible outcomes. They are instructed to show their work. The questions cover topics like choosing political candidates and committees, arranging books on a shelf, seating arrangements, selecting basketball teams, inviting friends to a party, and the number of dominoes in different domino sets.
This document contains a collection of probability problems and exercises involving concepts like tree diagrams, counting principles, permutations, combinations, and experimental probability. Questions cover topics like calculating probabilities of compound events, arranging books on a shelf, routes on a map, distributions of groups, and passing a multiple choice test by guessing. The document provides explanations, diagrams and multi-step calculations to work through each probability problem.
1. A document contains sample probability questions and answers about events such as rolling dice, picking cards or balls from boxes, coin tosses, and surveys.
2. The questions ask students to determine the sample space of events, calculate probabilities of outcomes, predict expected numbers of outcomes, and solve for unknown values.
3. The answers provided include writing out sample space elements, listing outcomes, calculating probabilities as fractions or decimals, and finding values that satisfy given probability equations.
1) The probability that all three students test positive on a drug test is 1/8.
2) The mean number of one-year-olds who do not recognize their mother's voice out of a sample of 20 is 2.
3) The probability that Jenny gets heads on the fourth coin flip is 1/2.
1) There are 36 animals altogether in Jacob's flock.
2) Tegwen is part of a family with 9 children.
3) The smallest possible number of integers in the list is 7.
Basic Counting Law Discrete Math Power Point Presentatonedzhoroevastudy
Here are the solutions:
a) 6 x 6 = 36 (there are 2 tasks, rolling the die each time)
b) 6 x 6 x 6 = 216 (there are 3 tasks)
c) 6 x 6 x 6 x 6 = 1,296 (there are 4 tasks)
d) 6^k (by the product rule, there are k tasks, with 6 possible outcomes for each task)
The key idea is that for rolling a die k times, we can view it as k independent tasks, with 6 possible outcomes for each task. Then by the product rule, the total number of outcomes is 6^k.
- The document discusses key concepts in probability such as conditional probability, multiplication theorem, total probability theorem, Bayes' theorem, random variables, probability distributions, mean, variance, Bernoulli trials, and binomial distribution.
- It provides examples and formulas for calculating probabilities of events. It also lists very short answer type, short answer type, and long answer type questions related to probability with answers.
Question 1 In your own words, write a minimum of three sen.docxIRESH3
Question 1
In your own words, write a minimum of three sentences describing the Ashcan school.
Question 2
The new modern artists, such as the Ashcan artist, rejected which American era:
A.
The Age of Enlightenment
B.
The Neoclassical Age
C.
The Gilded Age
D.
The Impressionist Age
Question 3
Robert Henri was a progressive artist. He studied at the Ecole de Beaux Arts in Paris, was influenced by the Impressionists, and even helped organize the Armory Show. However, he was opposed to American artists creating art that too closely followed European styles. What were his opinions when contemplating the idea of a National American Art?
Question 4
Read the text on Marsden Hartley on page 66 of our text. Review his image Portrait of a German Officer and give a two paragraph reaction essay.
Question 5
According to our text, Blank 1 was the first (short lived) non-objective, non-representational modern American art movement.
Question 6
Alfred Stieglitz ran an American gallery from 1908-1917 called Blank 1 . He dedicated this exhibition space to showing avant-garde artists such as John Marin and Arthur Dove.
Question 7
Write a formal analysis of the painting by George Bellows entitled Both Members of this Club, 1909. Start by listing the title, artist, and date of the artwork. Next, imagine that you are writing a letter to a friend who has never seen the painting. Describe the painting in detail. Be sure to analyze the lines, colors, textures, space, and shapes you see in the painting. Finally, write an interpretation of the painting--in other words, explain what the painting says or communicates to you. What function, purpose or idea does the painting represent? You can see an example of this method of analysis at Goya Analysis at http://www.artmuseums.com/goya.htm.
Art analysis question should be no less than 2 or 3 well developed paragraphs.
Question 8
Who was not in the Stieglitz circle of artists?
A.
Arthur Dove
B.
Marsden Hartley
C.
Joseph Stella
D.
Georgia O’Keeffe
Question 9
What was “Fountain” by Marcel Duchamp (R. Mutt)?
Question 10
The artist Blank 1 made paintings that were rejected from the National Academy exhibition. He went on to teach artists to paint with intensity and emotion, and capture the ‘spirit’ of the people and cities of their urban world?
Question 11
According to our text, what was the key difference between Henri and Stieglitz?
Question 12
Which group held an exhibit at the Macbeth Gallery that set America on a course of Modern Art?
STAT 200: Introduction to Statistics Final Examination, Fall 2015 OL1/US1 Page 1 of 6
STAT 200
OL1/US1 Sections
Final Exam
Fall 2015
The final exam will be posted at 12:01 am on October 9, and it
is due at 11:59 pm on October 11, 2015. Eastern Time is our
reference time.
This is an open-book exam. You may refer to your text and other course
materials as you work on the exam, and you may use a calculator. You ...
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Gender and Mental Health - Counselling and Family Therapy Applications and In...PsychoTech Services
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
A Visual Guide to 1 Samuel | A Tale of Two HeartsSteve Thomason
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
How to Manage Reception Report in Odoo 17Celine George
A business may deal with both sales and purchases occasionally. They buy things from vendors and then sell them to their customers. Such dealings can be confusing at times. Because multiple clients may inquire about the same product at the same time, after purchasing those products, customers must be assigned to them. Odoo has a tool called Reception Report that can be used to complete this assignment. By enabling this, a reception report comes automatically after confirming a receipt, from which we can assign products to orders.
1. Worksheet: Probability Problems
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. A group of volleyball players consists of four grade-11 students and six grade-12 students. If six players are
chosen at random to start a match, what is the probability that three will be from each grade?
a. b. c. d.
____ 2. If a bowl contains ten hazelnuts and eight almonds, what is the probability that four nuts randomly selected
from the bowl will all be hazelnuts?
a. b. c. d.
____ 3. Without looking, Jenny randomly selects two socks from a drawer containing four blue, three white, and five
black socks, none of which are paired up. What is the probability that she chooses two socks of the same col-
our?
a. b. c. d.
____ 4. A euchre deck has 24 cards: the 9, 10, jack, queen, king, and ace of each suit. If you were to deal out five
cards from this deck, what is the probability that they will be a 10, jack, queen, king, and ace all from the
same suit?
a. b. c. d.
____ 5. A bag contains 26 tiles, each marked with a different letter of the alphabet. What is the probability of being
able to spell the word math with four randomly selected tiles that are taken from the bag all at the same time?
a. b. c. d.
Short Answer
6. Participants in marathons are often given numbers to wear, so that race officials can identify individual run-
ners more easily. If the numbers are assigned randomly, what is the probability that the eight fastest runners
will finish in the order of their assigned numbers, assuming that there are no ties?
7. A club with eight members from grade 11 and five members from grade 12 is to elect a president, vice-presid-
ent, and secretary. What is the probability (as a percentage to one decimal place) that grade 12 students will be
elected for all three positions, assuming that all club members have an equal chance of being elected?
8. A four-member curling team is randomly chosen from six grade-11 students and nine grade-12 students. What
is the probability that the team has at least one grade-11 student?
9. If a CD player is programmed to play the CD tracks in random order, what is the probability that it will play
six songs from a CD in order from your favourite to your least favourite?
10. What is the probability that at least two people in a class of 30 students have the same birthday? Assume that
no one in the class was born on February 29.
Problem
11. Suppose you randomly draw two marbles, without replacement, from a bag containing six green, four red, and
three black marbles.
2. a) Draw a tree diagram to illustrate all possible outcomes of this draw.
b) Determine the probability that both marbles are red.
c) Determine the probability that you pick at least one green marble.
12. A six-member working group to plan a student common room is to be selected from five teachers and nine
students. If the working group is randomly selected, what is the probability that it will include at least two
teachers?
13. Len just wrote a multiple-choice test with 15 questions, each having four choices. Len is sure that he got ex-
actly 9 of the first 12 questions correct, but he guessed randomly on the last 3 questions. What is the probabil-
ity that he will get at least 80% on the test?
14. Leela has five white and six grey huskies in her kennel. If a wilderness expedition chooses a team of six sled
dogs at random from Leela’s kennel, what is the probability the team will consist of
a) all white huskies?
b) all grey huskies?
c) three of each colour?
15. Six friends go to their favourite restaurant, which has ten entrees on the menu. If the friends are equally likely
to pick any of the entrees, what is the probability that at least two of them will order the same one?
3. Worksheet: Probability Problems
Answer Section
MULTIPLE CHOICE
1. ANS: C PTS: 1 REF: Knowledge & Understanding
OBJ: Section 6.3 TOP: Calculating probability
2. ANS: B PTS: 1 REF: Knowledge & Understanding
OBJ: Section 6.3 TOP: Calculating probability
3. ANS: B PTS: 1 REF: Knowledge & Understanding
OBJ: Section 6.3 TOP: Calculating probability
4. ANS: D PTS: 1 REF: Knowledge & Understanding
OBJ: Section 6.3 TOP: Calculating probability
5. ANS: C PTS: 1 REF: Knowledge & Understanding
OBJ: Section 6.3 TOP: Calculating probability
SHORT ANSWER
6. ANS:
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
7. ANS:
3.5%
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
8. ANS:
about 0.9077
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
9. ANS:
or about 0.001 39
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
10. ANS:
about 0.7063
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
PROBLEM
11. ANS:
a)
4. b)
c)
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
12. ANS:
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
13. ANS:
5. A score of 80% requires getting 12 out of the 15 questions right. If Len answered 9 out of the first 12 ques-
tions correctly, he can score 80% only if he guessed all 3 of the remaining questions correctly.
Therefore Len has only about a 1.6% chance of getting 80% on the test.
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
14. ANS:
a) The probability is 0 since there are only 5 white huskies available.
b) Since there are 11 dogs altogether, the team can be chosen in ways. However, there are only 6 grey
huskies, so there is only one way of picking an all grey team. The probability of randomly selecting this
team from the 11 dogs is
c)
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability
15. ANS:
This question is similar to the birthday problem in Example 3 on p.323 of the student textbook.
If none of the friends pick the same entree, there are ways to select their meals. The probability of this
event is
Therefore, the probability that at least two will order the same entree is 1 – 0.1512 = 0.8488, or about 84.9%.
PTS: 1 REF: Applications OBJ: Section 6.3 TOP: Calculating probability