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[1] (b) Express 2(3+ p 5) (3p 5) in the form b+c p 5, where b and c are integers. The probabilities that they will score a goal in the next match are 0.2 and 0.35 respectively. The player scores points as shown in the table above but they lose 20 points if they miss the board completely. The game costs £4 to play. There are only \(b\) blue counters and \(y\) yellow counters in a bag. He continues until he chooses a card with the letter M printed on it. (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 this book is also available in digital format. (f) Calculate the probability that Neal wears trainers given that he is not wearing a cap. 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. The table shows the shoe sizes of 35 male teachers. (e) Hence, or otherwise, show that the events \(A\) and \(B\) are not independent. (h) Calculate the probability that Neal wears boots on one of the first two days, Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. this is very strong sheet which can be help to improve learning capacity and this sheet is … (a) Work out the number of students in the school who buy lunch from the school canteen. Luka and Donna have an idea. The Corbettmaths Practice Questions on Relative Frequency. (d) Copy and complete the tree diagram below. Videos, worksheets, 5-a-day and much more The manager thinks that the probability that both players will score a goal in the next match is 0.2 + 0.35. Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Probability - The probability of her taking 2 orange sweets is \(\frac13\). There are 11 sweets in this jar. Probability Practice Test Question Answers (Sample Worksheet PDF) The situation that may or may not happen, have a chance of happening. Attempt every question. Amelia selects a disc from a bag containing 5 green discs, 4 blue discs and 3 red discs. (b) Find the probability that the card chosen at random does not have the letter M printed on it. 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. An experiment was conducted to test this. Venn Diagrams Maths Genie keyboard_arrow_up 3. Exam Style Questions - Corbettmaths. Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Tracey draws the tree diagram above to show how two people could be chosen from the meeting at random. 2. 4. (a) A card is chosen at random. (c) Two pins are dropped. On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hannah's sweets. Is he correct? The Corbettmaths Practice Questions on Independent Events. Work out the number of times the coin landed on tails during that demonstration. (d) Calculate the probability that Neal wears trainers and no cap. Is the manager correct? (c) Find the probability that both cakes are plain. It really is one of the very best websites around. There are \(x\) left shoes and 7 right shoes in a dark cupboard. She can earn £50 in prize money for every successful vault. 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? A counter is taken at random from the bag. creating online and paper-based assessments and homeworks. Find the number of blue counters and the number of yellow counters that were in the bag originally. (b) Given that \(P((A \cup B)') = 0.17 \), find \(P(A|B')\). (e) Calculate the probability that Neal wears no cap. (a) Work out the probability that Percy gets the five on his first throw. (b) Write down P (A ∩B) ............................ (1) 2. A game at a fayre consists of a players throwing one dart at the board pictured below. There are only crayons in a pencil case and the crayons are either orange, purple or brown. Welcome to Corbettmaths! The game is now fair. Do you have any comments about these exam-style questions? (3) One of the numbers is selected at random. (a) Calculate the expected gain for this game, and hence show that the game is not fair. It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Her Wikipedia entry confirms that her success rate is 85%. 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 The following table shows the probabilities of winning certain prizes at a stall in Faulton Towers theme park. The probability that she takes a green crayon is \(\frac16\). (b) Create an equation to represent this information. and 5-a-day. and trainers on the other. Write down the probability that it has the letter R printed on it. They think "In our two classes there are 53 students, 12 of whom have a pet dog. 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. A box contains only green and yellow crayons. He tells people that this doubles their chances of winning. For the full list of videos and more revision resources visit www.mathsgenie.co.uk. Check your answers seem right. The probability that Harper takes one left shoe and one right shoe is \(\frac{7}{13}\). clearing five metres. Videos, worksheets, 5-a-day and much more 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. 5. The probability of hitting each region and the points scored for hitting that region is given in this table. This question, give all your Answers as fractions ( well, most )... Harper takes at random does not yet know exactly what the prize is question Answers ( Sample Worksheet ). A chance of happening 's of Maths resources: videos, worksheets 5-a-day. Originally in the pencil case when he chooses the 3rd card give a reason about which way up a pin. 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