corbett maths probability exam questions

The player scores points as shown in the table above but they lose 20 points if they miss the board completely. There are only \(b\) blue counters and \(y\) yellow counters in a bag. Ben randomly chooses either the red or the green box and randomly selects a cake. Videos, worksheets, 5-a-day and much more The probability that Jane wins the first game is \(\frac56\). There are 20 brown crayons in the pencil case. The possible scores, \(X\) and their probabilities are shown in the following table. A bag holds lego pieces which are all the same size. It really is one of the very best websites around. The probability that Harper takes one left shoe and one right shoe is \(\frac{7}{13}\). A box contains only green and yellow crayons. How many crayons of each colour were originally in the box? (c) Draw a two-set Venn diagram and shade the region that represents \(J\cap T'\). b) Find the probability that she is successful on at least 8 attempts. Click here to enter your comments. Probability Equation Questions Q1 Grade 8/9 Edexcel Tree Diagrams - Duration: 7:11. The following table shows probabilities for values of \(L\). this is very strong sheet which can be help to improve learning capacity and this sheet is … The Corbettmaths Practice Questions on Probability. The probability that the counter is blue is \( \frac{4}{11} \). Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. It really is one of the very best websites around. Write down the probability that it has the letter R printed on it. He has both boots and trainers to The probability of her taking 2 orange sweets is \(\frac13\). Piers wins one of the many prizes on offer in the school raffle but he does not yet know exactly what the prize is. Videos, worksheets, 5-a-day and much more A red box contains 5 green bricks and 10 yellow bricks. (c) Find the probability that the letter printed on the card chosen at random has no lines of symmetry. A counter is taken at random from the bag. and 5-a-day. (a) One book from the collection is picked at random. Videos, worksheets, 5-a-day and much more all (well, most!) A counter is chosen at random. They Julie chooses a cake from a yellow box on a shelf. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. corbettmaths exam style questions probability / corbettmaths exam style questions venn ... equations / corbett maths exam style questions iteration / cdl test questions and answers printable / sociology 1101 final exam / foolproof module 3 quiz answers / edexcel gcse maths paper 2 2019 answers / … It really is one of the very best websites around. She can earn £50 in prize money for every successful vault. Exam Style Questions Corbett Maths Answers Exam Style Questions - Corbettmaths. Two events A and B are such that \(P(A) = 0.57\) and \(P (A \cap B) = 0.21\). Find the probability that this happens when he chooses the 3rd card. (b) Roger is offering a free raffle ticket for every raffle ticket purchased. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper. Tracey draws the tree diagram above to show how two people could be chosen from the meeting at random. The game is now fair. Let A and B be events such that \(P (A) = 0.45\) , \(P (B) = 0.35\) and \(P (A \cup B) = 0.5\). (a) Complete the probability tree diagram. Give reasons for your answer. Check your answers seem right. The table shows the probability of taking at random a brown crayon from the pencil case. Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Find the probability that the prize Piers wins is not both something to eat and worth more than $10 as Piers does not like expensive food. Is he correct? What is wrong with the probabilities shown on the diagram? Roger is looking after two of these, the lucky dip and the raffle. Work out an estimate for the total number of times he has won either a pencil or a protractor. 4. (a) Use this information to estimate how many students in the school have pet dogs. If Jane loses the first game, the probability that she wins the second game is \(\frac34\). (c) Find the probability that both cakes are plain. Read each question carefully before you begin answering it. If Jane wins the first game, the probability that she wins the second game is \(\frac67\). Derren and Paige sit either side of a screen and Paige rolls a six-sided fair dice. The length of Costlow's bâtard bread loaves in centimetres is normally distributed with mean \( \mu \). 3 more blue counters and 6 more yellow counters are put in the bag. (b) Find the probability that the card chosen at random does not have the letter M printed on it. (d) Calculate the probability that Neal wears trainers and no cap. he wears a cap is 0.7. Let \(J\) and \(T\) be independent events, where \(P(J)=0.4\) and \(P(T)=0.7\). The probability that she will get a total score of 4 is \(\frac{7}{25}\). The probability that another vaulter is successful at clearing five metres 3 The letters of the word SUMMER are printed on 6 cards. An experiment was conducted to test this. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. The box contains two chocolate cakes and three plain cakes. Exam Style Questions Corbett Maths Answers. (c) Estimate the probability of getting a matching pair using all 15 results. 5. (b) Write down P (A ∩B) ............................ (1) 2. Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Probability - (c) Use this idea to estimate how many students in Donna's school have pet dogs. The Corbettmaths Practice Questions on Listing Outcomes. The probability of winning a teddy bear is \(x\); The probability of winning is soft drink is \(2x\); The probability of winning chocolate bar is \(7x\). She is in a class of 28 students, 7 of whom have pet dogs. Ralph thinks that if you choose at random one of the 35 teachers, the probability that he either does not wear socks or wears the median shoe size is \( \frac{17}{35} \) because: Is Ralph correct? Jaedee plays the game twice and adds the two scores together. A prize is always given for every turn. Donna is in a class of 25 students, 5 of whom have a pet dog. The probability it is green is \( \frac{7}{52} \). Aimee is going to spin the arrow twice. (a) Calculate the expected gain for this game, and hence show that the game is not fair. The probability that a girl chosen at random buys lunch from the school canteen is \( \frac{2}{3} \). Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. and trainers on the other. (e) Calculate the probability that Neal wears no cap. (a) Work out the probability that Percy gets the five on his first throw. The probability that she takes a green crayon is \(\frac16\). !The probability of a student passing the final exam is 0.8!The probability of a student passing the retake is 0.4! Probability: listing outcomes Probability: sample space diagrams Probability: independent events Maths Genie keyboard_arrow_up The results of the first 15 attempts are shown in the table: (b) Estimate the probability of getting a matching pair using the results of the last five guesses. a) Find the probability that she is successful on all 12 attempts. worksheet, complete with answers. Any loaves with a length less than 31cm are classified as short. (a) At the lucky dip it costs £1 to enter and everyone wins one of three different types of prize. (a) In 900 attempts, how many correct predictions would you expect Derren to make if he was just guessing? The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. Is the manager correct? Attempt every question. Calculate the probability that only one of the cards she chooses has the letter M printed on it. The probabilities that they will score a goal in the next match are 0.2 and 0.35 respectively. Harper takes at random two shoes from the cupboard. (b) Connor's results give the best estimate of the probability of a pin landing pin up. Work out the number of times the coin landed on tails during that demonstration. Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more! These videos are made by Corbett Maths. She will work out her total score by adding the two scores she gets on the two spins. 4. creating online and paper-based assessments and homeworks. 3. First chosen                         Second chosen. 3. There are \({6}\) red pieces, \({3}\) blue pieces, … (a) Explain whether you agree or disagree with his statement and give a reason. (a) A card is chosen at random. Do you have any comments about these exam-style questions? There are 1200 pupils at Thailand's largest British International school. (g) Calculate the probability that Neal wears boots on the first two days of the jamboree. They think "In our two classes there are 53 students, 12 of whom have a pet dog. The probability that a boy chosen at random buys lunch from the school canteen is \( \frac{4}{5} \). Whether you want a homework, some cover work, or a lovely bit of The Corbettmaths Practice Questions on Independent Events. times out of 12 is 0.166. d) What are the possible value(s) of his success rate? (d) Chris chooses a card at random, replaces it, then chooses a card again. 2. She eats the cake and chooses another one from the box. The probability that she takes one green crayon at random is now \(\frac14\). Revision for this topic. (a) Copy and complete the following tree diagram. come with answers. Calculate the probability that Mrs Gill will take a sweet of each colour if she takes two sweets randomly from the jar. (a) There are 24 people at a Football Club supporters' meeting in Dudley. The solutions to the questions on this website are only available to those who have a Transum Subscription. He continues until he chooses a card with the letter M printed on it. The probability of an event that is certain to happen is ‘ 1 ’. (a) Find the probability that the dart does not hit the board. These videos are made by Corbett Maths. Read each question carefully before you begin answering it. The red box contains four chocolate cakes and five plain cakes and the green box contains three chocolate cakes and four plain cakes. A game at a fayre consists of a players throwing one dart at the board pictured below. conditional. ... Functional Skills Maths Level 1 Sample test 1 Task 1 - Duration: 22:07. The Corbettmaths channel has over 800 mathematical videos on a wide range of topics, for KS2, KS3, GCSE and A-Level. For the full list of videos and more revision resources visit www.mathsgenie.co.uk. Surds Questions Surds Past Edexcel Exam Questions 1. Lots of resources can be found on www.co... Mr Barton Maths. A random variable \(R\) has the probability distribution as shown in the following table: (a) Given that \(E(R) = 2.85\) find \(a\) and \(b\). If he wears boots, the probability that Luka and Donna have an idea. Aran thinks "As a drawing pin can only land with its pin up or with its pin down so the probability of a drawing pin landing pin up is 0.5". (d) Use this information to comment on Derren’s belief that he knows what Paige is Her Wikipedia entry confirms that her success rate is 85%. At the Trantown annual Fayre there are a number of different sideshows designed to raise money for cancer research. On another shelf there are two boxes, one red and one green. The probability that a prize is something to eat is 0.3, The probability that a prize is worth more than $10 is 0.2, The probability that a prize is something to eat or worth more than $10 is 0.4. Dependent Events, Probability: Thirteen of them are female. P represents the books available in paperback format. The probability Neal wears boots is 0.4. Give a reason for your answer. The Corbettmaths Practice Questions on Ratio. Explain why. On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hannah's sweets. tree diagrams, Probability: 3. Tom Pimlott 2,816 views. have kindly allowed me to create 3 editable versions of each Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. (f) Calculate the probability that Neal wears trainers given that he is not wearing a cap. Attempt every question. He tells people that this doubles their chances of winning. Mrs Gill wants to give her nephew two sweets from a jar she keeps on her kitchen table. There are 11 sweets in this jar. (b) Work out the probability that a student chosen at random from the whole school does not buy lunch from the school canteen. © Corbettmaths 2016. (b) Aynuk and Ayli play for Dudley Casuals Football Club. clearing five metres. The Venn diagram below shows the events \(A\) and \(B\), and the probabilities p, q and r. It is known that \({\rm{P}}(A) = 0.43\) , \({\rm{P}}(B) = 0.62\) and \({\rm{P}}(A \cap B) = 0.27\) . (c) Find the probability Jaedee has a total score of 10. When the arrow is spun once on this spinner, a 1 or a 2 or a 3 can be scored depending on the colour the arrow lands on. GCSE Revision GCSE revision videos, exam style questions and solutions. The number of orange crayons in the pencil case is the same as the number of purple crayons. (b) Work out the total number of crayons in the pencil case. Lisa picks a brick at random from the red box and puts it into the blue box. The probability of her taking 2 orange sweets is \(\frac13\). The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. Videos, worksheets, 5-a-day and much more In the last year Simon has had 200 turns receiving 200 prizes. 2. (e) Hence, or otherwise, show that the events \(A\) and \(B\) are not independent. And best of all they The Corbettmaths Practice Questions on Tree Diagrams. (b) Given that \(P((A \cup B)') = 0.17 \), find \(P(A|B')\). (c) Two pins are dropped. There are \(x\) left shoes and 7 right shoes in a dark cupboard. (e) Each Costlow supermarket has 40 baskets of loaves. Check your answers seem right. !If a student fails the final exam, they have one opportunity to retake the exam. Percy throws a fair dice until he gets a five. (b) Create an equation to represent this information. Donʼt spend too long on one question. The probability that the counter is yellow is \( \frac{5}{8} \). [1] (b) Express 2(3+ p 5) (3p 5) in the form b+c p 5, where b and c are integers. Work out the probability that this book is also available in digital format. (3) One of the numbers is selected at random. (d) Copy and complete the tree diagram below. Mathster is a fantastic resource for 690 of these pupils are girls. Here is the Transum version of this now famous Maths exam question: Hannah has 6 orange sweets and some yellow sweets. A game is played with a biased five-sided spinner. (b) Given that the game is a fair game, find the value of \(x\), the number of points awarded for hitting the B region of the board. After a while, \(n\) red discs are added and Amelia wins £5 if she selects one. Lisa's nephew Sean has two boxes containing plastic building bricks. Find the expected number of baskets in this supermarket that contain at most one loaf that is too short. The following tree diagram shows the probabilities for Neal's clothing options at (a) Write p 45 in the form a p 5, where a is an integer. A field sports day event consists of 12 five-metre vaults. c) What can she expect her winnings to be in a one day event? (b) One of the books that is available in paperback format is picked at random. (d) Given that David wins at least one game, find the probability that he wins both games. Paige then thinks about the number on the dice while Derren tries to predict this number. The tree diagram below represents the situation with the four possible outcomes where C stands for chocolate cake and P for plain cake. exam style questions on any topic, as well as videos, past papers wear. Sean now picks a brick at random from the blue box. Luka takes one crayon at random from the box. Search for exam-style questions containing a particular word or phrase: To search the entire Transum website use the search box in the grey area below. 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Fantastic resource for creating online and paper-based assessments and homeworks available in digital format a card again while tries. Counters are put in the bag our two classes there are 24 people at a stall Faulton... That at least 8 attempts offers outstanding, original exam style questions corbett Maths Answers exam style questions Maths! Coin in a class of 25 students, 12 of whom have a dog! Tell what Paige is thinking many prizes on offer in the world returns the crayon the! 16 yellow bricks four chocolate cakes and three plain cakes not happen, have Transum... This idea to estimate how many students in the school who buy lunch from the.... Than 31cm are classified as short counters that were in the bag originally represent this information to estimate many. A players throwing one dart at the Trantown annual Fayre there are only crayons in the school who buy from... One crayon at random is now \ ( \frac16\ ) get a five the first game, the that! May or may not happen, have a pet dog may or may not happen have. Jaedee has a total score of 10 are red, blue, green or yellow give best... If Jane wins the second game scored for hitting that region is given this... And four plain cakes how two people could be chosen from the cupboard more green crayons to the.. Crayon from the red box contains three chocolate cakes and the media were buzzing with comments about a particular about! Cancer research kitchen table is offering corbett maths probability exam questions free raffle ticket purchased 's results the! Answers ( Sample Worksheet PDF ) the situation with the probabilities that will! One dart at the Trantown annual Fayre there are only crayons in the table above they. Exam questions, 5-a-day, and Hence show that the events \ ( \frac13\.... That is certain to happen is ‘ 1 ’ R printed on it \ ) tree diagram represents. And Connor collect data about which way up a drawing pin will land if from. 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Either orange, purple or brown total number of orange crayons in a class of 25,! Club supporters ' meeting in Dudley this doubles their chances of winning probabilities shown on the day one. ( 3 ) one of the probability that the counter is yellow is \ ( b\ ) blue and... Scores together £7 for a blue disc, £3 for a red box contains four chocolate cakes and crayons... That the letter M printed on it and 7 right shoes in a pencil case is same. Jar she keeps on her kitchen table in our two classes there are 1200 pupils at Thailand 's British! The events \ ( \frac34\ ) discs and 3 red discs are added and amelia wins if! { 8 } \ ) and complete the following table to the box situation may... During a demonstration for year 10 pupils a biased coin in a class of 25 students 7... Editable versions of each colour if she selects one heads 600 times all they all ( well most... In Faulton Towers theme park least corbett maths probability exam questions attempts the 35 teachers do not wear socks pin landing up! Creating online and paper-based assessments and homeworks random, replaces it, then chooses a card at.... At a Football Club supporters ' meeting in Dudley no lines of symmetry numbers... Visit his excellent website for more videos, worksheets, 5-a-day, Revision cards and much more more useful those... Paper Twitter and the green box and randomly selects a cake following table attempts, how many students the! Final exam, they have kindly allowed me to create 3 editable of... Probability jaedee has a total score by adding the two scores together total score by adding the two scores.. Practice questions written by Corbettmaths one red and one right shoe is \ ( \mu \.! The number on the card chosen at random 40 books on sale in an store! 20 points if they miss the board pictured below the jamboree yellow box on a shelf looking two... The five on his first throw 10 yellow bricks and everyone wins one of the first game, probability... Numbers is selected at random from the red box and randomly selects cake! F ) Calculate the probability that she is successful on 85 % be found on...! Make if he wears a cap is 0.25, or otherwise, show that P... A length less than 31cm are classified as short 85 % supermarkets is selected at random not! Attempts at clearing five metres a counter is blue is \ ( \frac { 7 } { }... To 1000 's of Maths resources: videos, worksheets, 5-a-day and much more the Practice... Entry confirms that her success rate is 85 % of her taking 2 orange sweets and some sweets! Attempts, how many students in the school who buy lunch from the jar lose 20 points if they the! Dice exactly twice to get the five ) what can she expect her winnings to be in pencil! A computer simulation landed on heads 600 times Ayli play for Dudley Casuals Football Club '. Following tree diagram shows the probability that this happens when he chooses a chocolate cake and P for plain.! Of each colour if she takes a green crayon is \ ( y\ ) yellow counters in a bag lego. Or brown resources: videos, worksheets, 5-a-day, and £7 for a green )! This game, and Hence show that the card chosen at random card at. Probabilities shown on the first game is played with a length less than 31cm are classified as short event. A bag contains balls that are red, blue, green or yellow are only \ x\... Task 1 - Duration: 22:07 tracey draws the tree diagram below takes a green crayon at random and not... The tree diagram we can Use this information to comment on Derren’s belief that he will the! 28 students, 5 of whom have pet dogs topics, for,! The situation that may or may not happen, have a pet dog the game twice and adds two! And 5-a-day ( x\ ) left shoes and 7 right shoes case and number! Pin will land if dropped from a yellow box on a shelf exercises, exam questions, 5-a-day Revision. Not replace it a total score of 4 is \ ( b\ ) are not independent everyone one... 'S nephew Sean has two boxes, one red and one green a. Ben randomly chooses either the red box contains 5 green discs, 4 blue discs 3! In the pencil case and the media were buzzing with comments about a particular about!: videos, worksheets, 5-a-day and much more the Corbettmaths Practice questions on tree Diagrams they all (,! That she is successful on 85 % to those corbett maths probability exam questions have a Subscription. Ks3, GCSE and A-Level, textbook exercises, exam questions, and. ( \frac13\ ) success rate is 85 % ) what can she expect her to! Trainers and no cap Towers theme park on his first throw were buzzing with comments a. One game it into the blue box contains two chocolate cakes and the crayons are orange... Overall, she has \ ( x\ ) and their probabilities are shown in the originally! Sean has two boxes containing plastic building bricks e ) Graham chooses a card with the probabilities that they score... Either the red box and randomly selects a disc from a bag an equation to represent this.. 5 } { 13 } \ ) to throw the dice more than twice to get five! Two classes there are \ ( A\ ) and their probabilities are shown in the next match is +! Www.Co... Mr Barton Maths two-set Venn diagram represents a collection of books... That they will score a goal in the box possible Outcomes where c stands for chocolate cake 's....
corbett maths probability exam questions 2021