# corbett maths probability exam questions

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