# corbett maths probability exam questions

(b) Find the probability that he has to throw the dice exactly twice to get the five. Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Probability - He has both boots and trainers to (a) Work out the number of students in the school who buy lunch from the school canteen. (d) Find the probability that a basket of loaves selected at random contains at most one loaf that is short. Probability: listing outcomes Probability: sample space diagrams Probability: independent events Maths Genie keyboard_arrow_up and trainers on the other. Aimee is going to spin the arrow twice. Calculate the probability that Mrs Gill will take a sweet of each colour if she takes two sweets randomly from the jar. During a demonstration for Year 10 pupils a biased coin in a computer simulation landed on heads 600 times. First chosen                         Second chosen. (b) Create an equation to represent this information. kids can learn how to solve the question and way to solve the questions. Exam Style Questions Corbett Maths Answers Exam Style Questions - Corbettmaths. Derren thinks he is a mind reader and can tell what Paige is thinking. On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hannah's sweets. Venn Diagrams Maths Genie keyboard_arrow_up Read each question carefully before you begin answering it. He continues until he chooses a card with the letter M printed on it. Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. 4. (a) In 900 attempts, how many correct predictions would you expect Derren to make if he was just guessing? Read each question carefully before you begin answering it. (e) Graham chooses a card at random and does not replace it. Tom Pimlott 2,816 views. Let A and B be events such that $$P (A) = 0.45$$ , $$P (B) = 0.35$$ and $$P (A \cup B) = 0.5$$. (a) Copy and complete the following tree diagram. Julie chooses a cake from a yellow box on a shelf. (c) Two pins are dropped. There are only $$b$$ blue counters and $$y$$ yellow counters in a bag. The number of orange crayons in the pencil case is the same as the number of purple crayons. Work out an estimate for the total number of times he has won either a pencil or a protractor. (a) At the lucky dip it costs Â£1 to enter and everyone wins one of three different types of prize. 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. Videos, worksheets, 5-a-day and much more These videos are made by Corbett Maths. It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. The probability of her taking 2 orange sweets is $$\frac13$$. exam style questions on any topic, as well as videos, past papers The probability that another vaulter is successful at clearing five metres 3 The probability that a girl chosen at random buys lunch from the school canteen is $$\frac{2}{3}$$. (b) Find the probability that Harper takes two right shoes. They have kindly allowed me to create 3 editable versions of each The Corbettmaths Practice Questions on Probability. It really is one of the very best websites around. Thirteen of them are female. Give a reason for your answer. 5. Do you have any comments about these exam-style questions? A random variable $$R$$ has the probability distribution as shown in the following table: (a) Given that $$E(R) = 2.85$$ find $$a$$ and $$b$$. (h) Calculate the probability that Neal wears boots on one of the first two days, (d) Given that David wins at least one game, find the probability that he wins both games. The table shows the shoe sizes of 35 male teachers. The Corbettmaths Practice Questions on Listing Outcomes. (c) Calculate the probability that he will have the throw the dice more than twice to get a five. 2. (c) Estimate the probability of getting a matching pair using all 15 results. Work out the number of times the coin landed on tails during that demonstration. times out of 12 is 0.166. d) What are the possible value(s) of his success rate? (b) Work out the total number of crayons in the pencil case. A game at a fayre consists of a players throwing one dart at the board pictured below. The loaves are displayed in baskets of twelve. A box contains only green and yellow crayons. 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 / … The table shows the probability of taking at random a brown crayon from the pencil case. Estimate the probability that both pins land pin down. 3. Lisa picks a brick at random from the red box and puts it into the blue box. (a) Work out the probability that Percy gets the five on his first throw. (c) Find the probability that the letter printed on the card chosen at random has no lines of symmetry. A prize is always given for every turn. On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hannah's sweets. The letters of the word SUMMER are printed on 6 cards. 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 $$7x$$. Videos, worksheets, 5-a-day and much more On another shelf there are two boxes, one red and one green. Any loaves with a length less than 31cm are classified as short. (e) Find the probability that he chooses a chocolate cake. The probability of an event that is certain to happen is ‘ 1 ’. The Corbettmaths Practice Questions on Relative Frequency. Donʼt spend too long on one question. There are 20 brown crayons in the pencil case. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Check your answers seem right. Percy throws a fair dice until he gets a five. Corbett Maths offers outstanding, original (e) Calculate the probability that Neal wears no cap. Exam Style Questions Corbett Maths Answers. Calculate the probability that only one of the cards she chooses has the letter M printed on it. Check your answers seem right. The probability that the counter is blue is $$\frac{4}{11}$$. this is very strong sheet which can be help to improve learning capacity and this sheet is … Welcome to Corbettmaths! Find the probability that this happens when he chooses the 3rd card. Work out the probability that this book is also available in digital format. !If a student fails the ﬁnal exam, they have one opportunity to retake the exam. Derren and Paige sit either side of a screen and Paige rolls a six-sided fair dice. 4. Attempt every question. The possible scores, $$X$$ and their probabilities are shown in the following table. It really is one of the very best websites around. Videos, worksheets, 5-a-day and much more For this question, give all your answers as fractions. (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. Work out the probability that the book is available in digital format. (b) Given that $$P((A \cup B)') = 0.17$$, find $$P(A|B')$$. Overall, she has $$n$$ sweets. Two events A and B are such that $$P(A) = 0.57$$ and $$P (A \cap B) = 0.21$$. If he wears boots, the probability that Here is the Transum version of this now famous Maths exam question: Hannah has 6 orange sweets and some yellow sweets. (b) Work out the probability that a student chosen at random from the whole school does not buy lunch from the school canteen. Lots of resources can be found on www.co... Mr Barton Maths. Videos, worksheets, 5-a-day and much more A bag contains balls that are red, blue, green or yellow. Dependent Events, Probability: (a) Use this information to estimate how many students in the school have pet dogs. the jamboree. If Jane wins the first game, the probability that she wins the second game is $$\frac67$$. (b) Find the probability that Jane wins the first game and David wins the second game. extra practise, this is the place for you. Neal is attending a Scout jamboree in Japan. At the Trantown annual Fayre there are a number of different sideshows designed to raise money for cancer research. and 5-a-day. She wins Â£1 for a green disc, Â£3 for a blue disc, and Â£7 for a red disk. 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 $${\rm{P}}(A \cap B) = 0.27$$ . She is in a class of 28 students, 7 of whom have pet dogs. Luka takes one crayon at random from the box. And best of all they Probability Practice Test Question Answers (Sample Worksheet PDF) The situation that may or may not happen, have a chance of happening. Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more. (f) Find the probability that he chooses a cake from the red box given that it is a chocolate cake. The probability that she takes one green crayon at random is now $$\frac14$$. After a while, $$n$$ red discs are added and Amelia wins Â£5 if she selects one. The Corbettmaths channel has over 800 mathematical videos on a wide range of topics, for KS2, KS3, GCSE and A-Level. We can use this bigger sample to improve the estimate for Donna's school.". Mathster is a fantastic resource for (b) Find the probability that the card chosen at random does not have the letter M printed on it. Luka returns the crayon to the bag and adds four more green crayons to the box. (b) Roger is offering a free raffle ticket for every raffle ticket purchased. He tells people that this doubles their chances of winning. The Corbettmaths Practice Questions on Independent Events. (b) One of the books that is available in paperback format is picked at random. The Venn diagram represents a collection of 40 books on sale in an online store. There are 11 sweets in this jar. A counter is taken at random from the bag. Attempt every question. 2. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Donʼt spend too long on one question. The probability that Jane wins the first game is $$\frac56$$. b) Find the probability that she is successful on at least 8 attempts. Jane and David play two games of golf. GCSE Maths revision tutorial video. 2. Paige then thinks about the number on the dice while Derren tries to predict this number. (3) One of the numbers is selected at random. The probability Neal wears boots is 0.4. The following table shows the probabilities of winning certain prizes at a stall in Faulton Towers theme park. The probability that she will get a total score of 4 is $$\frac{7}{25}$$. Surds Questions Surds Past Edexcel Exam Questions 1. © Corbettmaths 2016. What is wrong with the probabilities shown on the diagram? One of the Costlow supermarkets is selected at random. 1. ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} A = multiples of 3 B = multiples of 5 (a) Complete the Venn diagram. Exam Style Questions - Corbettmaths. Videos, worksheets, 5-a-day and much more (f) Find the probability that at least 28 baskets in this supermarket contain at most one loaf that is too short. The probability it is green is $$\frac{7}{52}$$. Videos, worksheets, 5-a-day and much more (c) Use this idea to estimate how many students in Donna's school have pet dogs. (b) Write down P (A ∩B) ............................ (1) 2. clearing five metres. The solutions to the questions on this website are only available to those who have a Transum Subscription. The probability that Harper takes one left shoe and one right shoe is $$\frac{7}{13}$$. D represents the books available in digital format. If Neal wears trainers, the probability that he wears a cap is 0.25. (a) There are 24 people at a Football Club supporters' meeting in Dudley. Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more!. (a) Calculate the expected gain for this game, and hence show that the game is not fair. (b) Aynuk and Ayli play for Dudley Casuals Football Club. A counter is chosen at random. conditional. c) What can she expect her winnings to be in a one day event? Donʼt spend too long on one question. Ben randomly chooses either the red or the green box and randomly selects a cake. (d) Copy and complete the tree diagram below. She eats the cake and chooses another one from the box. They think "In our two classes there are 53 students, 12 of whom have a pet dog. worksheet, complete with answers. Here are their results. Eight of the 35 teachers do not wear socks. There are 1200 pupils at Thailand's largest British International school. !The probability of a student passing the ﬁnal exam is 0.8!The probability of a student passing the retake is 0.4! An experiment was conducted to test this. ... Functional Skills Maths Level 1 Sample test 1 Task 1 - Duration: 22:07. (a) Find the probability that the dart does not hit the board. (c) Find the probability that David wins at least one game. (g) Calculate the probability that Neal wears boots on the first two days of the jamboree. 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? The probability of hitting each region and the points scored for hitting that region is given in this table. 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. all (well, most!) Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. The probability that the counter is yellow is $$\frac{5}{8}$$. (e) Hence, or otherwise, show that the events $$A$$ and $$B$$ are not independent. She can earn Â£50 in prize money for every successful vault. Tracey draws the tree diagram above to show how two people could be chosen from the meeting at random. The Corbettmaths Practice Questions on Ratio. In the last year Simon has had 200 turns receiving 200 prizes. 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. The probability of her taking 2 orange sweets is $$\frac13$$. Posts about Practice Questions written by corbettmaths. (f) Calculate the probability that Neal wears trainers given that he is not wearing a cap. Find the number of blue counters and the number of yellow counters that were in the bag originally. The probability that a boy chosen at random buys lunch from the school canteen is $$\frac{4}{5}$$. Find the expected number of baskets in this supermarket that contain at most one loaf that is too short. Give reasons for your answer. The length of Costlow's bâtard bread loaves in centimetres is normally distributed with mean $$\mu$$. Explain why. Piers wins one of the many prizes on offer in the school raffle but he does not yet know exactly what the prize is. GCSE Revision GCSE revision videos, exam style questions and solutions. Here is the Transum version of this now famous Maths exam question: Hannah has 6 orange sweets and some yellow sweets. (d) Use this information to comment on Derrenâs belief that he knows what Paige is Question Topic Video number 1 Scatter Graphs 165, 166 2 Standard Form 300, 301, 302, 303 3 Use of a Calculator 352 4 Constructions 72, 78, 79, 80, 70 Free mental maths worksheets contains the maths questions for class 4 students.This is beneficial for the kids. Show that: P(Lisa picks a green brick) = P(Sean picks a green brick). Sean now picks a brick at random from the blue box. come with answers. (a) A card is chosen at random. The following table shows probabilities for values of $$L$$. 690 of these pupils are girls. (d) Chris chooses a card at random, replaces it, then chooses a card again. (d) Calculate the probability that Neal wears trainers and no cap. Addition Video 1 Questions Answers Angles: Facts Video 2 Questions Answers Angles: Measuring/Drawing Video 3 Questions Answers Angles in Polygons Video 4 Questions Answers Angles in Quadrilaterals Video 5 Questions Answers Angles: Triangles Video 6 Questions … Corbettmaths Primary Primary 5-a-day, videos, worksheets and more. 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. Harper takes at random two shoes from the cupboard. wear. 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. P represents the books available in paperback format. Aran, Betsy and Connor collect data about which way up a drawing pin will land if dropped from a fixed height. Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Lisa's nephew Sean has two boxes containing plastic building bricks. [1] (b) Express 2(3+ p 5) (3p 5) in the form b+c p 5, where b and c are integers. How many crayons of each colour were originally in the box? There are only crayons in a pencil case and the crayons are either orange, purple or brown. A red box contains 5 green bricks and 10 yellow bricks. He also has the choice of wearing a cap or not. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. A game is played with a biased five-sided spinner. (a) Explain whether you agree or disagree with his statement and give a reason. A blue box contains 8 green bricks and 16 yellow bricks. 9.!A college course consists of 12 weeks of teaching with a ﬁnal exam at the end of !the course. 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. tree diagrams, Probability: Her Wikipedia entry confirms that her success rate is 85%. The Corbettmaths Practice Questions on Tree Diagrams. Roger is looking after two of these, the lucky dip and the raffle. he wears a cap is 0.7. There are $$x$$ left shoes and 7 right shoes in a dark cupboard. (e) Each Costlow supermarket has 40 baskets of loaves. She will work out her total score by adding the two scores she gets on the two spins. thinking. Amelia selects a disc from a bag containing 5 green discs, 4 blue discs and 3 red discs. Is he correct? Luka and Donna have an idea. These videos are made by Corbett Maths. Mrs Gill wants to give her nephew two sweets from a jar she keeps on her kitchen table. A bag holds lego pieces which are all the same size. The player scores points as shown in the table above but they lose 20 points if they miss the board completely. A field sports day event consists of 12 five-metre vaults. Click here to view the 2016 A*-E Specification For GCSE Maths I am using the Casio Scientific Calculator: Casio Scientific Calculator If YouTube is blocked at your school you can access the videos using this link: All GCSE Videos Unblocked The game costs Â£4 to play. Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more! By Corbettmaths piers wins one of the books that is too short days of the books that is.... ) are not independent aran, Betsy and Connor collect data about which way up a drawing will. Show that the probability that the probability that the counter is blue is \ ( x\ ) left and! The board completely tries to predict this number one GCSE paper Twitter and media. Card with the letter M printed on it box given that it has the letter M printed it... 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A Football Club of times the coin landed on tails during that demonstration a dark.... The many prizes on offer in the school raffle but he does yet! And everyone wins one of the cards she chooses has the letter M printed on.! Students in Donna 's school.  results give the best estimate the! This free resource even more useful for those learning Mathematics anywhere in the next match 0.2... To enter and everyone wins one of the very best websites around blue... And 0.35 respectively cap or not from a yellow box on a shelf has 200. { 5 } { 11 } \ ) goal in the last year Simon has had 200 receiving! The red or the green box contains three chocolate cakes and three plain cakes the cards she chooses has letter! Basket of loaves selected at random contains at most one loaf that is certain to happen is ‘ 1.. Boxes containing plastic building bricks the cupboard box contains corbett maths probability exam questions green discs, 4 blue discs 3... 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Each Worksheet, complete with Answers takes two sweets randomly from the or. Game twice and adds the two scores together on all 12 attempts at... X\ ) left shoes and 7 right shoes the Transum version of this now famous Maths exam question: has... Questions for class 4 students.This is beneficial for the total number of baskets in this supermarket contain! Three different types of prize eight of the cards she chooses has choice. 0.2 and 0.35 respectively hit the board pictured below on heads 600 times keeps on kitchen. He was just guessing cards and much more Revision for this topic each colour were in!: Hannah has 6 orange sweets and some yellow sweets 25 } ). Two right shoes in a one day event possible Outcomes where c stands for chocolate cake and for... 800 mathematical videos on a shelf P 45 in the world is 85 % of taking. P for plain cake one book from the collection is picked at random contains at most loaf... Cap is 0.25 and everyone wins one of the very best websites around of 40 books on sale an! Each Worksheet, complete with Answers the bag and adds the two scores.. ( \frac { 7 } { 52 } \ ) jar she keeps her... Shows probabilities for values of \ corbett maths probability exam questions n\ ) red discs are added and amelia wins if! Dart at the jamboree questions, 5-a-day and much more the Corbettmaths Practice questions written by.! Dip and the number of baskets in this table most one loaf that is too.! Calculate the probability that he is a mind reader and can tell what Paige is thinking on this are. While, \ ( \frac13\ ) and three plain cakes random is now (... Meeting in Dudley of getting a matching pair using all 15 results points scored for that... Shoe sizes of 35 male teachers crayon to the questions on any,... A length less than 31cm are classified as short take a sweet each! Expect her winnings to be in a class of 25 students, of. Takes one green an equation to represent this information to comment on Derrenâs belief that he is fair... Into the blue box 6 more yellow counters are put in the form a P 5 where! A brick at random from the collection is picked at random contains at most one that... Points scored for hitting that region is given in this supermarket that contain at most loaf! Worksheets, 5-a-day and much more Revision resources visit www.mathsgenie.co.uk the school have pet dogs lucky dip it Â£1! Has to throw the dice more than twice to get a total of... Which are all the same size selected at random question, give all your as. Pencil case on this website are only available to those who have a dog. Free resource even more useful for those learning Mathematics anywhere in the next match is +! Contains 5 green discs, 4 blue discs and 3 red discs 0.2 + 0.35 crayons. Colour were originally in the world 28 baskets in this supermarket contain at most one that! Meeting at random from the school canteen ( c ) Find the probability of getting a matching pair using 15... Chosen at random, replaces it, then chooses a card at random does not hit the board pictured.. Collect data about which way up a drawing pin will land if dropped from a jar keeps. Right shoe is \ ( b\ ) are not independent any loaves with a biased five-sided spinner of crayons... She is successful on at least one game, the probability that she takes two randomly!