The universe, S, will generally not have unit area, but in many applications will be a good approximation. Alternative versions. In terms of probabilities, we can write. As an abcteach member you have unlimited access to our 22,000+ clipart illustrations and can use them for commercial use. The articles outline the thinking behind the approach, and explain the research basis for choosing to teach probability in this way. Draw a Venn Diagram and then find the probability of receiving an offer from either Acme Corp. What is the probability of obtaining a sum equal to 6? 2. this information appropriately in a Venn diagram. • Understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model. As you scroll down, you will see many worksheets for organizing data, data: interpret and graph, probability, and more. laughed in a quiet way 6. Laqueshia S. The results are displayed in the Venn Diagram. Venn diagrams were conceived around 1880 by the English mathematician, logician and philosopher John Venn (1834--1923). 7) Ready, Set, Go Homework: Probability 9. The probability that a sports-club member is a basketball player is. Build a community within your classroom using Venn Diagrams. Unit 11 Page 6. Math 111, section 6. Theoretical Probability. Within this topic we learned about theoretical probability vs. A set is a collection of things. 43 people said that they like to stand during a concert. 7) You roll a fair six-sided die. Unit 10— Probability 10. This lesson is designed to introduce students to the idea of a set and what it means to be contained in a set. Scheme of Work for Venn Diagrams and Probability. As we begin this section of the lesson, I coach the students on how to create their own two-set and three-set Venn diagrams. A child from 7v is chosen at random. Students learn how to use two-way tables, sample space and Venn Diagrams to calculate the probability of two or more events happening. This Venn diagram shows the name of students in Ms. This Resource Plus demo contains edited examples of materials and resources that are available in full in the subscription version of this resource. Ten girls go to high school A, six girls go to high school B, and four girls go to high school C. Math 104 ACTIVITY 6: Probability: General rules, conditional probability and independence Why We are now considering the general rules that apply to all probability situations (including the \equally likely outcomes" case). Unit 8 - Probability Lesson 7. Venn diagrams are useful strategies for students to understand when events are mutually exclusive and when they are not. Activity 39 e Venn Diagrams and Probability Notation 577. Definition of probability Laws of probability Mutually exclusive, dependent and independent events Conditional probabilities Probability tree diagrams. Unit Test. Determine the Number Elements in a Set From a Venn Diagram Use a Venn diagram to Determine Cardinality of Sets (Level 1) Use a Venn diagram to Determine Cardinality of Sets (Level 2) Find Complement, Union, and Intersection of 2 Sets as Lists Find the Intersections and Union of Three Sets as Lists. Its identification is right 90% of the time but wrong 10% of the time. 38 Venn Diagram Example Even Numbers from 1-10 39 number of aids in first world and 3rd world countries 40 Number of Stars/ Miricale at midnight 41 Even Numbers and Numbers Greater than 20 42 Probability of Choosing a Queen or a Heart 43 Landen Steele and Nathan Litz Venn Diagram Number The Stars and The Lie That Saved Holocaust Survivours Lives. 1 Constructing Frequency Distribution Table and Ogive; 5. 2 a) What is the probability that a g school student selected at random isn't inv-x)lved in sports and takes AP courses?. uk Venn Diagrams (H) - Version 2 January 2016 5. Write out the sample space for a probability random phenomenon, and use it to answer probability questions. The area of the intersection will also be an approximation. Represent everyday occurrences mathematically through the use of unions, intersections, complements and their sets and subsets. Students will use data to construct a simple Venn Diagram, and answer an important question about whether solar flares cause CME's and Aurora. If the probability that an event will happen is “P,” then the probability that it won’t happen is “1 – P. Using a Venn Diagram to Represent a Sample Space 6. 43 people said that they like to stand during a concert. Discuss with students that the probabilities of all possible outcomes must add to 1, so the probability of something not happening would be 1 minus the probability of the event occuring. The best source for free venn diagram worksheets. Probability Using a Venn Diagram and Conditional Probability Loading Found a content. This is the currently selected item. GSE Geometry Unit 13 - Probability HW Practice Mr. The probability of any sample point can range from 0 to 1. 6) Ready, Set, Go Homework: Probability 9. Review parts of Venn diagram and what they represent. Here is a Venn diagram. + Section 5. Determine conditional probabilities and probabilities of compound events to make decisions in problem situations. Lesson 47 Probability And Venn Diagrams Answers. Academic Unit 1: Name: _____ Probability CCSS. Venn diagrams can be used to illustrate relationships between sets of categorical data. are in the club? H Find P(B) Find C) Find u C) Find P(BO s 24 16 A guidance counselor is planning schedules for 30 students. 4 and right side wil be ice cream with 0. Let A be the event that the student takes an art class and let B be the event that the student plays basketball. Students begin the unit using visual representations of lists, tree diagrams, and Venn diagrams to find the probability of events that intersect or represent the union or. Find the probability that a randomly selected adult male is 6 feet or less. AMDM UNIT 2 Probability Worksheet 1 Name _____ 1. Using a Venn diagram, find the number of students who play both tennis and hockey. Relationships of the individual and groups to complete Venn Diagrams. 5 Computing for Percentile Using Z-Score; 5. Conditional probability is the probability of an event given that a second event will definitely occur. White Math Graphing Construction & Analysis Unit 1 Grade-Level Expectations (GLEs and TEK Equivalent) Why use Venn Diagrams. Venn Diagram 2 Venn Diagram 3 Venn Diagram 1. Worksheets are Venn diagrams f, American bison, Write details that tell how the subjects are different in, Venn diagrams and set notation practice questions, Venn diagrams, Set operations and venn diagrams, A guide to using probability, Ss. From preschool / kindergarten to grade 6 levels of math games. 6 Math Journal Page 264 and 265 Unit 7 Review Problem 6 I can calculate probability in simple situations. 43 people said that they like to stand during a concert. Here is a Venn diagram. b) Find the probability that a student in the class has a brother and a sister. Evaluate: (by hand then using n C r function on the calculator to check your answer) a. This Venn Diagram Sets and Subsets Color 1 Labeled clipart is provided in jpeg format. In a group of 50 students at a school, 15 play tennis, 20 play cricket, 20 swim, and 7 students do nothing. P-statement). So I know the left side will be : cake with 0. A set is a collection of things. CCGPS Geometry Probability Homework Name: _____ Date: _____ Using Venn Diagrams If the Venn Diagram below shows the number of people in a fine arts club who are in band (B) and choir (C), make the following determinates: 1. Venn diagrams can be used when comparing and contrasting groups of things. Next, some geometric probabilities related to length and area are explored. These should give you a good idea of how you might go about using the teaching and learning materials, and functionality, that have been included for all the topics and skills covered in this resource. If a woman has breast cancer, the probability is 90 percent that she will have a positive mammogram. 1 Laws of Probability for combined events Opening activity Unit 16 Page 16 ELEMENTARY PROBABILITY. USA Test Prep Due Sunday @ 11:59pm Venn Diagram Notes - Chart - Examples. Few word problems may contain universal set. Draw a Venn Diagram. b) Find the probability that a student in the class has a brother and a sister. If the probability that an event will happen is “P,” then the probability that it won’t happen is “1 – P. Unit 4 - Sets, Logic, and Probability. The spinner will land on this color about as often as it lands on blue. Mr Barton's Quizzes. the following events from the probability experiment of rolling a 6. Example 2: (a) Indicate the multiples of 4 and 12, from 1 to 60 inclusive, using set notation. The best source for free venn diagram worksheets. 1 Constructing Frequency Distribution Table and Ogive; 5. Types of sets Look at the Venn diagram. This lesson covers how to use Venn diagrams to solve probability problems. venn diagram example of disjoint - Example The following is the diagram representation of disjoint in venn diagram. Also, my students should be working on their Unit 1 Probability and Set Theory review sheets. You write sets inside curly brackets like this:. pdf: File Size: 112 kb: File Type: pdf. MDM4U: Unit 1 – Counting and Probability 2008 5. • Diagrams are NOT accurately drawn, unless otherwise indicated. Reasons: 1) if the computer crashes, you have to email them for a password (where I live, on a mountain with high winds, we get alot of power outages) as well as lightning strikes; 2) they said that the problems could be typed in and a solution would be provided. The student is expected to:. The simplest and most typical Venn diagram depicts two overlapping circles: Sets A (creatures with two legs) and B (creatures that can fly). Sadly, I was not sure if I was able to. The best source for free venn diagram worksheets. (1) The student will be able to calculate probabilities using the Addition Rule of probability. These two events are independent. Day 11 Test B. Tichon Fall 2016 Contents 1 Introduction 4 2 Definitions 4 3 Venn Diagrams 7 4 Relating Sets 7 5. Currently used Venn analysis software often presents. For example,. Seniors at North Central High Scho Basketball Football 121 90 1. Probability Worksheets and Printables. Fahey Homework #3 Mutually Exclusive/Independent/Venn Diagrams 1. Many subsets can be selected from this set, For example, the set of all even numbers, set E, and the set of all odd numbers, O, would be: Another way to represent these sets would be to use a Venn diagram. All of the number values for each section of the diagram have been given to us in the question. Sets and subsets may be represented using Venn Diagrams. Using Venn Diagrams to Find Probabilities Venn diagrams can be used to help find probabilities when events are not mutually exclusive. 3 1 Given a categorical proposition, state the subject and predicate sets and draw a Venn diagram for the proposition. Upon completion of this lesson, students will: have been introduced to the notion of sets and Venn diagrams. What is the probability. Using a Venn diagram, find the number of students who play both tennis and hockey. Use set notation as a way to algebraically represent complex networks of events or real world objects. Easier to grade, more in-depth and best of all 100% FREE! Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!. Snow's Homeroom Algebra Il 14 Chemistry 5. The following venn diagram represents the disjoint sets. AMDM Unit 2 SAS 1 Using Venn Diagrams Name _____ Ms. Step 1: Calculate the probability of reaching each of the endpoints. Lesson 1: Venn Diagrams : Lesson 2: Collecting and Organizing Data Choosing an Appropriate Unit : Communicate About Probability. Grade 7 Math LESSON 3: PROBLEMS INVOLVING SETS TEACHING GUIDE 5 AUTHORS: Gina Guerra and Flordeliza F. A diagram. 4 Normal Distribution - Using Z-score; 5. Find the value of x. Evaluate: (by hand then using n C r function on the calculator to check your answer) a. Venn diagram, graphical method of representing categorical propositions and testing the validity of categorical syllogisms, devised by the English logician and philosopher John Venn (1834–1923). I can use a probability distribution to answer questions about possible values of a random variable. She asked students what math course and. We often use what is known as a Venn diagram to illustrate sets. Help make decisions. 6 Math Journal Page 264 and 265 Unit 7 Review Problem 6 I can calculate probability in simple situations. What is the probability of each event? d. Venn Diagram George Washington And James Madison. Use the following information to fill in the Venn Diagram below. Venn Diagrams (F) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. ) algebra sums for sixth std ; Online tests for 10th ; algebra solving. Venn diagrams were conceived around 1880 by the English mathematician, logician and philosopher John Venn (1834--1923). SAS 1 - Venn Diagrams Unit II - Probability In this lesson, we learn how to determine probability using data from a Venn diagram #venndiagrams #advancedquantitativereasoning #AQR. In set theory language this would be known as the Universal Set - all elements defined by that set. A Venn diagram shows the relationships among sets of numbers or objects by using overlapping circles that are usually placed in a rectangle. 6 Mutually-Exclusive Probabilities; 4. 2 Use probability and probability distributions. The key is for students to be able to verbalize what they see depicted in the Venn Diagrams. Conditional Probability using Venn Diagrams. Use Venn Diagrams to represent the interactions between different sets, events or probabilities. Venn Diagram Smart Board NOTES Lesson 3 Multiplication Rules #1 and #2 for "and" VIDEO Lesson 3 Multiplication Rules #1 and #2 Blank copy of NOTES Tree Diagrams and Counting Principle Homework Solutions Part of Unit 6 Review (1 page) Solutions Lesson 4 Conditional Probability SmartBoard NOTES UNIT 6 REVIEW Worksheets- 4 pages SOLUTIONS. o Rectangle 'S' represents a sample space of possible outcomes. What is a tree diagram? A tree diagram shows two or more events and their probabilities. The probability that a high school student eats breakfast is 0. The pre-assessment for this unit will cover Goals 1-4, as outlined in my assessment table. Using the Venn diagram identify the probability of: Being a boy and 12 years old? Not being a boy or 12 years old? This two way table compares the heights of two year 7 classes. Math Message and follow-up (Journal 652, 1-4 and. What's the probability that ship would get hit by an incoming missile despite these systems? (Might I suggest using a Venn diagram?) Support (Venn diagram or algebraic) Answer (incl. With over twenty ideas for how to use Venn diagrams in your classroom – including printables and fun suggestions! Easy Venn diagram lesson with printable A Venn diagram is a visual way to show how two or more groups …. 2 dice are tossed. Draw a venn digram that depicts the information above. Upon completion of this lesson, students will: have been introduced to the notion of sets and Venn diagrams. You will be able to use Venn diagrams to fi nd probabilities. Leary's Class: Use the Venn Diagram showing the number of kids owning bicycles (A) and skateboards (B) to find the following probabilities. 5) Determine the Probability of Mutually Exclusive Events. Leary's Class. + Section 5. 7 Dependent Probabilities using Venn Diagrams; 4. Graph No 12 This outcome is often written A and B 16. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Use the information given to find the following probabilities. Only 8 of the left- handed athletes were female. 18 Example 4-6 In a group of a people, some are in favor of genetic engineering and others are against. AP Statistics: Venn Diagram Practice I. Using a Venn Diagram to Represent a Sample Space 6. 6 - Review Of 500 athletes surveyed, 300 were male and 20 were left- handed. Use a Venn diagram to display this data. Sets and Venn Diagrams are ways to cate gorize and organize numbers or objects. Geometry Unit 14 Probability Name _____ Example 3: Find the theoretical probability using sample space If you roll a pair of dice, what is the probability that the total on the two dice will be 7? YOU TRY NOW! 1. The simplest and most typical Venn diagram depicts two overlapping circles: Sets A (creatures with two legs) and B (creatures that can fly). What is the probability that a randomly selected mechanic from her 3 garages is ASE certified to work on Brakes? b. Downloadable version. 1 — Homework Mr. I will describe each of the pieces in terms of the sets A, B, and C. Seniors at North Central High Scho Basketball Football 121 90 1. Represent everyday occurrences mathematically through the use of unions, intersections, complements and their sets and subsets. 43 and also 125. Also, my students should be working on their Unit 1 Probability and Set Theory review sheets. Write out the sample space for a probability random phenomenon, and use it to answer probability questions. But I don't understand this code,. Word problems Here is a list of all of the skills that cover word problems! These skills are organised by grade, and you can move your mouse over any skill name to preview the skill. 6 Mutually-Exclusive Probabilities; 4. Test Review. 6) Objective: Analyze situations and solve problems using Venn diagrams Materials: Journal 264-265; Math Masters 422, 234, and 479; two sets of attribute blocks Procedure: Teachers Edition 651-657 1. 6 Probability Using a 2-Way Table; 4. Set and Venn Diagram. MDM4U: Unit 1 – Counting and Probability 2008 5. Use the rules of probability to compute probabilities of compound events in a uniform probability model MGSE9-12. GCSE (1 – 9) Venn Diagrams Name: _____ Instructions • Use black ink or ball-point pen. Allen, Tim & Laura like comedy movies Gina & Kellie don't prefer either of those 2 types. Finding probability density function using CDF method. Use the spinner to name the color that fits each of the following statements. AMDM Unit 2 Test Review--Probability Name Remember to show all work! Round answers to the nearest 2 decimal places or simplest fracti0n Use the following situation to answer #1-5 Jake gave a survey to 150 seniors at his school. Venn Diagrams. Geometry Unit 14 Probability Name _____ Example 3: Find the theoretical probability using sample space If you roll a pair of dice, what is the probability that the total on the two dice will be 7? YOU TRY NOW! 1. Use the Venn diagram to calculate the probability that a randömly selected player is each of the following. Assume that the probability a girl is born is the same as the probability a boy is born. Venn Diagrams are a familiar way of representing data. Word Problems on Sets and Venn Diagrams - Examples. 4 1 Use a given Venn diagram to answer questions in an applied. Elements – The objects or members contained in a set. the relevant probabilities are shown in the Venn diagram below. Unit 11 Page 6. Unit 7 Review: Statistics and Probability SM 2 Use the following table to answer questions 1-5. 4 Probability of Disjoint and Overlapping Events 565 Finding the Probability of Overlapping Events A card is randomly selected from a standard deck of 52 playing cards. The results are shown in the Venn diagram at right. Each section of a two-circle Venn diagram (only, and, only, not) represents a separate branch on a tree diagram. GSE Honors Geometry Unit 6: Applications of Probability Students Will: Use set notation as a way to algebraically represent complex networks of events or real world objects. Conversion of Decimal Number to Whole Number (accurate to Two Decimal Places) HOW TO CONVERT DECIMAL NUMBER TO WHOLE NUMBER? This can be explained using eg given below: consider 125. In 12 spins, the spinner lands on green 4 times. List any subsets. This is a complete lesson on probability and Venn diagrams that looks at how to use Venn diagrams to work out probabilities of combinations of events. Venn diagrams are useful strategies for students to understand when events are mutually exclusive and when they are not. • In what ways can a Venn Diagram represent complex situations? • How can I use a Venn Diagram to organize various sets of data? • How can two-way frequency tables be useful? • How are everyday decisions affected by an understanding of conditional probability? • What connections does conditional probability have to independence?. P(Brakes) c. Identify an event with a given probability as impossible, unlikely, likely, or certain. 041 Page 2 of 2 Massachusetts Institute of Technology Department of Electrical Engineering & Computer Science. this information appropriately in a Venn diagram. 1 Probability and Venn diagrams You will be able to use set notation to describe events. Finding probability density function using CDF method. S1 Edexcel statistics video tutorials. Conditional probability. In the survey, he asked the seniors if they used Facebook, Twitter, both, or neither. 4 Probability of Disjoint and Overlapping Events 565 Finding the Probability of Overlapping Events A card is randomly selected from a standard deck of 52 playing cards. Currently used Venn analysis software often presents. Interpreting diagrams, questionnaires and collecting data. Key Concepts of the Probability Unit. These are easy and fun to teach to children of all ages, and can be incorporated into unit studies or taught as a rainy-day break from normal routine. Discover classes, experts, and inspiration to bring your ideas to life. Solving assignment of word problem using Venn diagrams( limited to 3 sets) 7. Use set notation as a way to algebraically represent complex networks of events or real world objects. Find the probability of a student taking Chemistry, given that the student is not taking Algebra Il, or P(Chemistry/not taking Algebra Il). Venn diagrams are useful strategies for students to understand when events are mutually exclusive and when they are not. All of the number values for each section of the diagram have been given to us in the question. You can use a Venn diagram to help them decide (and get a teaching moment in at the same time). MDM4U: Unit 1 – Counting and Probability 2008 4. • Interpret the results and communicate their reasoning clearly. • Identify the events (possibly using a Venn Diagram) as either dependent, independent, or mutually exclusive and solve the problem (CG 1, 2 CS A, B) • Compute conditional probability (CG 1, 2 CS A, B) • Use Bayes’ theorem to revise probability (CG 1, 2 CS A, B). 1 Sets and Set Operations notes by Tim Pilachowski Our first topic is one which will (hopefully) clarify the ideas underlying probability. Find P(A B) and describe what this probability represents? 13. 16 have a sister. Related Links Everyday Mathematics Online. Put this information into a Venn Diagram. Use the key information from the given data to solve the word problems. Statistics & Probability – Calculating probabilities including using sample space and venn diagrams. Lesson 47 Probability And Venn Diagrams Answers. Unit 2 – Rational & Irrational Numbers Core: Table: _____ 2. 8 Dependent Probabilities using Tree Diagrams; Review; Test - Unit 5 - Geometry and. Venn diagrams were conceived around 1880 by the English mathematician, logician and philosopher John Venn (1834--1923). Start studying Unit 6: Probability - Quiz on 3/27/19. Find P(A ∩ B) and describe what this probability represents? 14. In 12 spins, the spinner lands on green 4 times. Find probabilities of independent and dependent events using Fundamental Counting Principle. In the Venn diagram shown, P(A) 5 0. 1 Introduction to set concept Activity 1. Reasons: 1) if the computer crashes, you have to email them for a password (where I live, on a mountain with high winds, we get alot of power outages) as well as lightning strikes; 2) they said that the problems could be typed in and a solution would be provided. Unit prices with unit conversions 5. Experimental Probability. 6 The Basic Rules ofProbability This chapter summarizes the rules you have been using for adding and multiplying probabilities, and for using conditional probability. Quiz over Chi Squared, sets, and Venn Diagrams; Homework, watch video and take notes on Probabilities on Venn Diagrams and Laws of Probabilities. • In what ways can a Venn Diagram represent complex situations? • How can I use a Venn Diagram to organize various sets of data? • How can two-way frequency tables be useful? • How are everyday decisions affected by an understanding of conditional probability? • What connections does conditional probability have to independence?. The articles outline the thinking behind the approach, and explain the research basis for choosing to teach probability in this way. The quantities p, q, r, and s given in the Venn diagram represent probabilities. • Understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model. (1) The student will be able to calculate probabilities using the Addition Rule of probability. Snow conducted a survey of her homeroom. Venn diagrams can be used when comparing and contrasting groups of things. When you throw a dice, you don't know on which side it will fall. Unit G - Probability Overview This brief unit intro duces students to probability. They are used to teach elementary s et theory , as well as illustrate simple set relationships in probability , logic , statistics , linguistics and computer. Sadly, I was not sure if I was able to. Check out the Venn diagram and make sure you agree with. ProbabilityRules with Venn&TreeDiagram. Unit 4: Using Recursion in Models & Decision Making Unit 7: Networks & Graphs. For example, 2, 3, 5, and 7 are prime numbers but 4, 6, and 8 are not prime numbers. 14 people said that they like to do both. HCF and LCM from Venn Diagrams. In Unit 8, Probability, students extend their understanding of probability from seventh grade to a more formal approach to probability by applying formulas and definitions. Allen, Tim & Laura like comedy movies Gina & Kellie don't prefer either of those 2 types. Construct the Venn Diagram using the given information. The probability of receiving an offer from Acme is 0. 5 — Mixed Review Create a Venn Diagram for the following information. 10 Distinguish between permutations and combinations. a) Complete the Venn diagram. What does the circle represent? 4. Find P(A ∪ B) and describe what this probability represents? 15. You randomly select a piece of fruit. Conditional probability. Complete the Venn diagram. Total Number of Outcomes. 1 of 6) Study the two Venn Diagrams. Unit 2 – Probability – Review – 2010 A survey is performed to find the relationship between gender and handedness (if one is right or left hand dominant). Unit 3a Homeowrk Homework 1 – Due Tuesday, October 31 *Show work on separate sheets of paper! Topics: Set Theory, Venn Diagrams, Probability. View Notes - Unit_6_Notes. Displaying all worksheets related to - Venn Diagram George Washington And James Madison. Identify and list any ten items in your home that can be grouped. We will use Venn diagrams to illustrate the idea and then create the formula. The probability that a high school student will eat breakfast and get over 6 hours of sleep is 0. 4 (together the probability is 1). Math Message and follow-up (Journal 652, 1-4 and. Find and compare relative frequencies and use them to make predictions 9. • Diagrams are NOT accurately drawn, unless otherwise indicated. Venn Diagrams for Categorical Propositions. Rule 3 deals with the relationship between the probability of an event and the probability of its complement event. Later, we'll use our understanding of probability to answer statistical questions. How do the diagrams differ? 2. Probability is the chance or likelihood that an event will happen. The results are displayed in the Venn Diagram below: A Venn Diagram titled Acne medicine probabilities is shown with two circles labeled used the medicine and skin cleared. Unit 1 Section 5 : Logic Problems and Venn Diagrams. In the diagram below, the shaded area represents (A∩B)′. The best source for free volume worksheets. G) Building Block Objective/Learning Target : I am able to persevere in problems. First suppose that we roll a six sided die and then flip a coin. Find P(A ∪ B) and describe what this probability represents? 15. Compute P(Spade or Diamond). Work out the probability that it is from the 20th century. > How to create a Venn Diagram and what each portion represents Know when and how to use " and" VS "OR" Rules How to list out a sample space > How to justify if events are independent and mutually exclusive. Venn Diagram 2 Venn Diagram 3 Venn Diagram 1. b) Find the probability that a student in the class has a brother and a sister.