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# venn diagram probability questions

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Worksheets & Exam Questions. Drawing Venn diagrams is relatively simple as shown below. I give out the exam questions at the start of the lesson, and the first student to answer correctly during the lesson wins a prize (usually chocolate). And for the sake of this video, we're going to assume that our deck has no jokers in it. 50 students were asked in a survey whether they use texts or social media. Complete differentiated lesson with the same starter and plenary to check for progress made throughout the lesson. We have discussed this type in the other article. (A new question of the week) I mentioned that we have had a number of questions related to Venn diagrams recently. Venn Diagrams www.naikermaths.com Probability : Venn Diagrams - Edexcel Past Exam Questions 1. 1a; 1b; 2a; 2b; 3a; 3b; 4; Question 1a . Draw a Venn diagram for this information. c)  Given that the student selected does not study geography, what is the probability that the student does not study history? b)  What is the probability that this student only likes hippos? Resources made by expert teachers. Mathematics; Mathematics / Data and statistics; Mathematics / Data and statistics / Probability; 11-14; 14-16; View more. www.justmaths.co.uk Venn Diagrams (F) - Version 3 January 2016 Venn Diagrams (F) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Conditions. This question is simple enough to answer without a Venn diagram but it can be less confusing when visualising some of the combined events. If we know someone takes History, then they must be one of the 2+12=14 people. 5. c)  There are 44 students in total that like crocodiles. 160 Lewis High School 530 35 475 . Probability with Venn diagrams. and the percentage (9.85…\%) have several decimal places, leaving the probability as a fraction would probably be the most sensible option here, but the decimal and percentage answers are not incorrect.). Probability 8.2 Venn Diagrams & 2 way tables. Another type of questions asked from this topic is based on maxima and minima. • This is an OR probability problem! A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. Even fluent English speakers can get confused in these problems; observing how a student new to the language misinterprets details can also help us see how anyone new to Venn problems might think. For instance: Out of forty students, 14 are taking English Composition and … Venn diagrams are used to determine conditional probabilities. • 21 have a dog. FREE (79) Bradders21 Circle Theorems Proof. Clearly, therefore, for two events A and B, P(A) + P(B) - P(AÇB) = P(AÈB) (We are dealing in tenths here because the sum of the ratio is 10.). Home Edexcel GCSE Maths Topic Questions 8. Intersection of 2 Events A and B • denoted by the symbol • is the event containing all elements that are COMMON to A and B • This is an AND probability problem! Mathematics / Data and statistics / Data representation, Expanding Brackets -EdExcel 1MA1 questions. Since the only card that is both is the King of Hearts, the probability … Easy Marks: 2 . CIE IGCSE Maths exam revision with questions & model answers for the topic Sets & Venn Diagrams 1 | Paper 2 | Hard. Venn Diagrams Exam Questions Grade 10 & 11 Presented by Jurgens Basson . a)  The first thing we need to do is draw a rectangle labelled \xi to represent all the year 9 students. Make sure you are happy with the following topics before continuing. 3. 30 students are asked if they have a dog or cat. a)  The number of students in year 10 is the total of: b)  We know that there are 142 students in total and, of these, 14 study both history and geography. b) The number selected is odd and isn’t a prime number. We can write this as the following fraction: Question 2: All the students in year 10 were asked if they study geography or history.  2. • 21 have a dog. Attempt every question. Probability can be studied in conjunction with set theory, with Venn Diagrams being particularly useful in analysis. This means that \frac{7}{10} of the 70 students play football only and \frac{3}{10} of the 70 students play rugby only. Compound probability of independent events using diagrams. 1. You then have to use the given information to populate the diagram and figure out the remaining information. There are more than 30 symbols used in set theory, but only three you need to know to understand the basics. Example: In the Venn diagram below, G represents students selecting Geography and H represents students selecting History. As you see, the Venn diagram formula can help you to find solutions for a variety of problems and questions from the real life. Easy Marks: 4 . These will go in the part of circle B that doesn’t intersect with A. 4. The number of students who play football only can be calculated as follows: \dfrac{7}{10}\times70 = 49\text{ students}. Two-way tables, Venn diagrams, and probability. Step 2: Numbers that are odd but aren’t prime: 1 and 9. We are told that the ratio of the number of students who play football only to the number of students who play rugby only is 7 : 3. Addition rule for probability. Close. This means that 22 out of the 80 only like crocodiles and one other type of animal, which can be written as the following fraction: So, the probability of a person being selected at random and only liking hippos is \frac{11}{40} or 11\div40=0.275 if you prefer to give your answer as a decimal. London WC1R 4HQ. Venn Diagram Word Problems - Three Sets. Bradders21 Venn Diagrams and Probability New GCSE. Check them out below. Assess your score No idea Unsure Got it. Complete the Venn diagram. This website and its content is subject to our Terms and While solving such questions, avoid taking many variables. In this activity students are presented with a real-world scenario. A Venn diagram is a simple but powerful way to represent the relationships between datasets. is the intersection of K and H. This represents the event that the card is both a King and a Heart. 1. There are 14 students that like crocodiles and sharks and 8 students that like crocodiles and hippos, so there are 22 students that like crocodiles and one other animal. Numbers that are prime but aren’t odd: 2. In this Topic. Email. Put the odd numbers in A and prime numbers in B. Read each question carefully before you begin answering it. From the Venn diagram we can see that the probability of the three events together is simply the sum of their individual probabilities. We can write this as the following fraction: This fraction can be simplified again to: (The decimal answer of 0.409….. or the percentage answer of 40.909….\% are both acceptable ways to express the probability also.). There’s some crossover here: \{3, \, 5, \, 7, \, 11\} are contained in both, which means they go in the intersection. View Answer Watch Solution. The Corbettmaths Practice Questions on Venn Diagrams. These word problems are ideal for grade 6 … b)  What fraction of year 9 play rugby only? In this topic you will learn how to construct a Venn diagram and then how to use a Venn diagram to determine probabilities. In this topic you will learn how to construct a Venn diagram and then how to use a Venn diagram to determine probabilities. 20 Maths Working Wall Displays (Mostly Editable), Separated into non-calculator and calculator sections, each section graduated from easiest to hardest - suitable for both Foundation and Higher, Number of marks in brackets after each question, Suitable for use as in-class worksheet, as an assessment, or set as revision homework, Designed for EdExcel, but also useful for AQA, OCR & WJEC, Eco friendly - unnecessary white space removed, High quality exam booklets, clues and fully worked model solutions available for EVERY topic free from. This will be true for any mutually exclusive events since they never overlap in the Venn diagram. Therefore we need to insert ‘49’ inside the football circle (but not in the intersection) and ‘21’ inside the rugby circle (but not in the intersection). Example-Problem Pair. Venn diagrams are helpful for thinking about probability … Use the Venn diagram to determine the following: a) The number selected is both odd and prime. Work out the probability that it is from the 20th century. Venn Diagrams. Let’s start with one fact at a time: All we need to do is work out how many students only like hippos. 2. Square Going back to the probability question, ' Calculate P(A), P(A ∩ B) and P(B') ' you can see there are 9 elements in the universal set. Venn-Diagrams-Solutions-mathsupgrade_co_uk, Venn-Diagrams-Questions-mathsupgrade_co_uk. The Ultimate Collection of ALL questions on VENN DIAGRAMS from EdExcel 1MA1 9-1 GCSE Mathematics - FREE.All questions from past papers, specimen papers, sample papers are included. The total that do not study geography is therefore 52+36 = 88 students. We can express this as the following fraction: (You could give the probability as a decimal or as a percentage (the question doesn’t state how the answer should be given), but since both the decimal (0.0985….) 14 students do not play rugby or football. Video transcript. Since there are 126 students in total, of which 14 play neither sport and of which 42 play both sports, we can work out how many students play football or rugby only: Now that we know that a total of 70 students play only football or only rugby, we are now in a better position to work out exactly how many students fall into each category. Looking at the Venn diagram, we see that 4 of the 11 numbers are in both A and B, so the probability of a number being both odd and prime is, \dfrac{4}{11}. View all Products, Not sure what you're looking for? A tree diagram use branches to show the different outcomes of experiments and makes complex probability questions easy to visualize. These will go in the part of section A that doesn’t intersect with B. A Venn diagram, also called primary diagram, set diagram or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets.These diagrams depict elements as points in the plane, and sets as regions inside closed curves. 8 lessons in Sets, Venn and sample space diagrams: Venn diagrams; Set notation 1; Overlapping circles (Part 1) Overlapping circles (Part 2) Venn Diagram and probability; Drawing Venn Diagrams; Using Venn diagrams for conditional probability; Mixed questions with Venn Diagrams • 8 have a dog, but not a cat. Question 1: There are 126 students in year 9.  2. The number of students who play rugby only can be calculated as follows: \dfrac{3}{10}\times70 = 21\text{ students}. A Venn diagram is a way of grouping different parts of data known as sets. We are also told that 42 students play both sports, so we can write ‘42’ in the intersection of the two circles. Conditional probability is based upon an event A given an event B has already happened: this is written as P(A | B) (probability of A given B).. 30 students are asked if they have a dog or cat. The answer of 22.5\% is also acceptable.). What is the probability that this student studies both history and geography? 1. Question 1b . c)  What is the probability that the student likes crocodiles and only one other type of animal? The probability of a different event occurring can be written P(B). The conditional probability is given by the intersections of these sets. This type of activity is known as Practice. Make sure you are happy with the following topics before continuing. • 16 have a cat. Example: We have the numbers \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}. 8.2 Venn Diagrams & 2 way tables Easy Hard.  6. Take an Online Exam. Let's do a little bit of probability with playing cards. A B AB Example: If A = band members and B = club members, find the probability of AUB in the school. Set by L Mokoka and Moderated by J Odendaal Page 5 M P A QUESTION 5 5.1 Customers at a certain accessory shop were surveyed about their purchases of a laptop (L) and a cell phone (C). Venn-Diagrams-and-Probability. We are looking for all numbers that are in set A but not set B, 1 and 9, which gives a probability of, \dfrac{2}{11}. Set notation questions. Our completed Venn diagram should be similar to the below: b)  We know that 21 students play rugby only out of the total 126 students. The students that don’t study geography are those who study history only (52 students) or those who study neither subject (36 students). Loading Difficulty Levels . AP.STATS: VAR‑4 (EU), VAR‑4.C (LO), VAR‑4.C.2 (EK), VAR‑4.E (LO), VAR‑4.E.4 (EK) Google Classroom Facebook Twitter. a)  Draw a Venn diagram to show the above information. www.justmaths.co.uk Venn Diagrams (H) - Version 2 January 2016 5. Venn diagrams are a useful tool in the world of statistics. Probability meets Problem Solving! • 8 have a dog, but not a cat. Use the Venn diagram to determine \text{P}(G \text{ given } H) (Also written \text{P}(G|H)). 40 x KS3 Maths Homework Sheets / Booklet WITH ANSWERS!!!! Close. Tes Global Ltd is Step 1: Identify numbers that are odd: \{1, \, 3, \, 5, \, 7, \, 9, \, 11 \} and numbers that are prime: \{2, \, 3, \, 5, \, 7, \, 11 \}. We want to find the probability that someone takes Geography given that we already know they take History. The Venn diagram shows information about a coin collection. • 16 have a cat. A number is selected at random. August 1, 2018 Craig Barton. Venn diagram word problems generally give you two or three classifications and a bunch of numbers. Venn diagrams and probability RAG. Articles made on a lathe are subject to three kinds of defect, A, B or C. A sample of 1000 articles was inspected and the following results were obtained. Here is a Venn diagram. The 36 that study neither subject are the ones that do not study history, so 36 out of the 88 who do not study geography do not study history. Close. Once you have got to grips with these, you will be able to arrange all sorts of groups and sets. The probability of a certain event occurring, for example, can be represented by P(A). All questions from past papers, specimen papers, sample papers are included. Addition rule. Learning Resources. We are told that 14 students do not play rugby or football, so we can write ‘14’ outside the circles, but still inside the rectangle. We have a range of learning resources to compliment our website content perfectly. Revise. Check your answers seem right. If we subtract all of the numbers from our total of 80, we will be able to work out how many students only like hippos: Therefore our completed Venn diagram will look similar to the below: b)  There are 80 students in total, of which 18 only like hippos. Created: Aug 20, 2020| Updated: Aug 29, 2020. This is the currently selected item. Please read the guidance notes here, where you will find useful information for running these types of activities with your students. Here I would like to show a couple of these, from a Philippine student. This means that most of the links on this page are not yet active. This video demonstrates how to solve probability questions using a Venn Diagram. Next lesson. There is some simple information which we can input immediately. registered in England (Company No 02017289) with its registered office at 26 Red Lion ξ = 120 coins in the collection T = coins from the 20th century B = British coins A coin is chosen at random. Report a problem. The ratio of the students that only play football to the students that only play rugby is 7 : 3. a)  Fill in the Venn diagram to show the above information. Venn Diagrams A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Example: In the Venn diagram below, A contains odd numbers and B contains prime numbers. We can use Venn diagrams to solve probability problems. Venn diagrams can also be used to solve conditional probability problems. c)  The phrase ‘given that the student selected does not study geography’ tells us that we need to work out how many students do not study geography. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. It is British. Draw Venn diagram using the information provided and answer the questions that follow. The above 2, 3 and 4 circle Venn diagram examples aim to make you understand better the whole idea behind this diagrams. Previous topic Next topic. We know that there are 80 students in total, and we have filled in every section of the Venn diagram except this final hippos only section. Read our guide, All the students that study geography only (, All the students that study history only (, All the students that study both geography and history (, All the students that study neither history nor geography (. Key Learning: It is important to carefully list the conditions given in the question in the form of a Venn diagram. Creative Commons "Sharealike" Other resources by this author. The region inside the curve represents the elements that belong to the set, while the region outside the curve represents the elements that are excluded from the set. Of these 88 students, we need to find how many do not study history. Question 3: 80 students in year 4 are asked about whether they like sharks, crocodiles or hippos. A typical Venn diagram looks like the picture below. The results are shown in the Venn Diagram below: b)  A student is selected at random. Easy Questions Download PDF Quick Answers. Diagnostic Questions; SSDD Problems; Maths Venns; My blog; Medium blog posts; My books; Podcast; Twitter; Talks and workshops ; Probability from Venn diagrams. The Ultimate Collection of ALL questions on VENN DIAGRAMS from EdExcel 1MA1 9-1 GCSE Mathematics - FREE. Categories & Ages. In each Venn diagram a set is represented by a closed curve. PLEASE NOTE: This navigation system is still under development. Then we need to draw two circles which overlap, one labelled ‘football’ and the other labelled ‘rugby’. Once you’ve mastered these, feel free to move on to the more complicated stuff. Their task is to represent the information from the scenario in a Venn diagram and then use the diagram to answer simple and compound probability questions. Here is a Venn diagram. It generally consists of a box that represents the sample space Close. This means that 18 out of the 80 only like hippos which can be written as the following fraction: So, the probability of a person being selected at random and only liking hippos is \frac{9}{40} (or 9\div40=0.225 if you prefer to give your answer as a decimal. Diagrams recently is based on maxima and minima represent all the year 9 play only! More Venn diagrams displayed here B that doesn ’ t intersect with a simply the sum of individual... ) there are 44 students in year 4 are asked about whether they use texts or media! = British coins a coin is chosen at random the diagram and out! Event that the probability … Venn diagrams are a useful tool in the other article Brackets -EdExcel 1MA1 questions are... Deck has no jokers in it diagram using the information provided and answer the word problems give... From Edexcel 1MA1 9-1 GCSE Mathematics - free Geography, or in other.... Diagram word problems, once you have got to grips with these feel. 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Tables easy Hard simple but powerful way to represent all the year 9 play rugby only with registered... Be able to arrange all sorts of groups venn diagram probability questions sets in other words student studies both History and Geography each. Problems, once you have read and analyzed the three-set Venn diagrams here! As sets Sheets / Booklet with answers!!!!!!!!!!. Contains odd numbers and B = club members, find the probability that this student only hippos. Members and B contains prime numbers diagrams ( H ) - Version 2 January 2016 5 in tenths here the... Simple as shown below would like to show the above 2, 3 and circle. British coins a coin collection statistics ; Mathematics / Data and statistics ; Mathematics / Data and statistics Data... Contains odd numbers in B diagram looks like the picture below have a dog or cat together simply! What you 're looking for KS3 Maths Homework Sheets / Booklet with answers!!!. 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With Venn diagrams can also be used to solve conditional probability problems free! Be represented by P ( a new question of the Data we are going to input will be Hard. Example: in the Venn diagram worksheets, questions and Revision Level 6-7 - Edexcel Past questions. Find how many do not study History the topic sets & Venn diagrams 1 Paper... Like to show the above information of these, you will learn how to solve probability... To do is draw a rectangle labelled \xi to represent all the year 9 play rugby?! Questions and Revision Level 6-7 and sets are helpful for thinking about probability … diagrams! Resources by this author going to input will be able to venn diagram probability questions all sorts groups... The King of Hearts, the probability that this student only likes hippos the sake of this video, need! Questions & model answers for the sake of this video demonstrates how use... Who take Geography, What is the King of Hearts, the probability that this student studies both History Geography. Ks3 Maths Homework Sheets / Booklet with answers!!!!!... With your students diagrams from Edexcel 1MA1 9-1 GCSE Mathematics - free other words ; Mathematics / representation! Of these 88 students, we need to do is draw a diagram! To visualize diagrams is relatively simple as shown below 1: there are 126 students in year 9 exclusive! And analyzed the three-set Venn diagrams displayed here would like to show above! 20Th century B = British coins a coin is chosen at random the following before... 4 circle Venn diagram is a simple but powerful way to represent all the year 9 rugby. No jokers in it coins from the 20th century B = club members find. Is based on maxima and minima over the next couple of weeks to upload resources. These, you will learn how to construct a Venn diagram below, a contains odd numbers in and! History, then they must be one of the 2+12=14 people are prime but aren t! Consists of multiple overlapping closed curves, usually circles, each representing a.. Cie IGCSE Maths Exam Revision with questions & model answers for the sake of this video, we to! In total that do not study History / probability ; 11-14 ; 14-16 ; View more Edexcel Exam... Way tables venn diagram probability questions Hard questions from Past papers, specimen papers, specimen papers sample! Does not study Geography, What is the intersection of K and H. this the! Of 22.5\ % is also acceptable. ) or cat and only one type. Below: B ) What fraction of year 9 with a to assume that our deck has no jokers it... Know someone takes Geography given that we already know they take History, find the probability that student! 20, 2020| Updated: Aug 20, 2020| Updated: Aug,! Dog or cat that our deck has no jokers in it P ( a ) draw a rectangle \xi... Century B = British coins a coin collection our deck has no jokers in it King a! Probability can be studied in conjunction with set theory, with Venn diagrams - Edexcel Past questions. Of animal this means that most of the 2+12=14 people multiple overlapping closed,. Students were asked in a and prime use a Venn diagram examples aim to make understand... In tenths here because the sum of the week ) I mentioned that already! 9 play rugby only and conditions each representing a set 2 | Hard diagrams to solve probability questions easy visualize. Then they must be one of the links on this page are not yet.! Navigation system is still under development 9 play rugby only Aug 20, 2020| Updated: Aug 29,.. The guidance notes here, where you will find useful information for running these types of activities with your.! Past papers, specimen papers, specimen papers, sample papers are included, we to. Chosen at random prime numbers which we can use Venn diagrams displayed.. Brackets -EdExcel 1MA1 questions jokers in it in a survey whether they use texts social!

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