arrow_back Back to Probability of Combined Events Probability of Combined Events: GCSE Maths Specification and Awarding Body Information. One ball is picked out, and not replaced, and then another ball is picked out. GCSE (1 – 9) Probability Equation Questions Name: _____ Instructions • Use black ink or ball-point pen. Box Plots . The probability of something which is impossible to happen is 0. ... Online Revision for GCSE Higher Students. The probability of something which is certain to happen is 1. Another way of representing 2 or more events is on a probability tree. Therefore P(green) = 450/1000 = 0.45. b) If there are 100 balls in the bag, how many of them are likely to be green? There is a bag full of coloured balls, red, blue, green and orange. GCSE Maths Higher Revision Workbook. For every task that the pupil solves, they get to shade a square on the mosaic. Out of those 37 times, on 27 occasions she won the first set and on 10 occasions she lost the first set. • Answer the questions in the spaces provided – there may be more space than you need. P(yellow and red or red and yellow) = 1/6 + 1/6 = 1/3. How to do Probability? Calculate the probability that he selects the same coloured ball each time, given that after each time a ball is selected, it is replaced. Round your answer to … DartsPool (b) Work out the probability that David wins at Darts and also wins at Pool. For example, we might throw 2 dice and consider the probability that both are 6's. I hope you find this post useful – if you do, please like, comment and share the video on YouTube and Facebook. Raheem picks 2 balls at random.. * 70 multiple choice questions with full worked solutions. Their completion of all tasks will result in a fully formed mosaic design. Like other exam boards, OCR has two exam tiers. My aim has been to provide a complete coverage of the types of questions that could be asked for each topic. There are 3 balls in a bag: red, yellow and blue. There are 9 altogether, so P(8 or 9) = 9/36 = 1/4 . If we pick 2 balls out of the bag, the probability that the second is blue depends upon what the colour of the first ball picked was. P(red and yellow) = 1/3 × 1/2 = 1/6 The rule is: The probability of picking a red OR yellow first is 1/3 + 1/3 = 2/3. Increase £43 by 16%. Suppose now we consider the probability of 2 events happening. Previous Direct and Inverse Proportion Practice Questions. The probability the second ball will be yellow is 1/2 and the probability the second ball will be blue is 1/2. When working out what the probability of two things happening is, a probability/ possibility space can be drawn. The rule is: On a probability tree, when moving from left to right we multiply and when moving down we add. Our tips from experts and exam survivors will help you through. Jo and Dan share sweets in the ratio 10 : 4. Probability 9-1 Maths. Discover curriculum-aligned practice question sets for the entire AQA Mathematics curriculum below. Probability GCSE Maths revision, covering probability single & multiple events, the rules of probability and probability trees, including examples and videos. This video shows examples of using probability trees to work out the overall probability of a series of events are shown. Calculator Higher - GCSE Revision When =−3, find the value of 5 2−2 . So the probability of getting a blue is 1/3. Search for: Contact us. Find its diameter. b) The red blobs indicate the ways of getting 9. (Hint: look for the word “given” in the question. Conditional probability - Higher. Boring, but hopefully useful. Produced by Haslam and Hall Publishing, a leading educational publisher in the UK. Student carry out an experiment in which they calculate the experimental probability of the pin landing 'pin up' or 'pin down'. Both independent and conditional probability are covered. If you're not sure which exam tier (foundation or higher) your child is sitting, check with your child or their teacher. This free online revision course includes is tailored to cover exactly what you need to know for your OCR GCSE Higher Tier maths exams. Therefore, out of 100 balls, 45 are green (using ratios). The probability that a red AND then a yellow will be picked is 1/3 × 1/2 = 1/6 (this is shown at the end of the branch). GCSE Maths - Probability (Conditional Probability, AND OR rules, Multiplying) A Grade Level Descriptors GCSE Maths Conditional Probability. Use Quizlet for OCR GCSE Mathematics to learn about everything from decimals to quadratic equations. Examiner’s tips Calculation and Estimation Counting Outcomes with Restrictions; Fundamental Counting Principle ... Introduction to Probability; Probability of Simple Events; Compound Events; Mutually Exclusive Events; Experimental Probability; Prediction Using Probability; Given that the tennis player wins the second set, find the probability that she won the first set. • Diagrams are NOT accurately drawn, unless otherwise … Hi there, I uploaded this lesson to YouTube as I thought this GCSE Maths questions was really challenging. 12th May 2017. The first ball can be red, yellow or blue. Experimental probability and the importance of basing this on a large trial is also covered. A PowerPoint covering probability up to Higher GCSE level. Squeezed into this Probability Questions resource is a combination of Foundation and Higher Level learning materials. We have produced 51 Foundation Tier themed papers. From surds and bounds to polynomials and trigonometry, this course covers it all. The probability space shows us that when throwing 2 dice, there are 36 different possibilities (36 squares). On the other hand, suppose we have a bag containing 2 red and 2 blue balls. Cumulative Frequency . * Take Quick Quizzes and try to beat your saved best score. This video is a guide to probability. The probability that he wins at Darts is 0.3 The probability that he wins at Pool is 0.4 (a) Complete the probability tree diagram. Contains some combinatoric-esque starter puzzles, and covers the whole GCSE syllabus, including mutually exclusive and independent events, experimental versus theoretical probability, probability trees (including algebraic probabilities) and sampling with and without replacement. The probability that a boy chosen at random buys lunch from the … First, represent the information on a tree diagram: From the tree diagram, the probability of winning the second set = \(\frac{27}{50} + \frac{10}{50} = \frac {37}{50}\). Prior to 2017 Edexcel ran two syllabuses; Mathematics A and Mathematics B. GCSE Mathematics - Higher Level - Probability With our range of great Probability resources, we aim to increase the probability of your KS4 Maths pupils loving your lessons! Foundation and Higher Level learning. Primary Study Cards. The probability that a tennis player wins the first set of a match is \(\frac{3}{5}\). 1/3). If she wins the first set, the probability that she wins the second set is, . Use Quizlet for AQA GCSE Mathematics to learn about everything from fractions to sequences. the second time will be the same as the first (i.e. These topic-based compilations of questions from past GCSE papers are supplemented by ‘new’ questions which have not yet been asked, but which could be. I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Model answers & video solution for Basic Probability. The same logic can be applied to the cases of when a yellow or blue ball is picked out first. The consultant editor is at the very hub of setting and marking GCSE Mathematics, being Chairman of Examiners after many years as a Chief Examiner. GCSE Revision Cards. For example, if you throw two dice, what is the probability that you will get: a) 8, b) 9, c) either 8 or 9? a) The black blobs indicate the ways of getting 8 (a 2 and a 6, a 3 and a 5, ...). Expressing probability as fractions and percentages based on the ratio of the number ways an outcome can happen and the total number of outcomes is explained. The probability that she will win the game of snooker is 4 3 The probability that she will win the game of billiards is 3 1 Complete the probability … If a red ball is picked out, there will be two balls left, a yellow and blue. The probability is the number of yellows in the bag divided by the total number of balls, i.e. The probability of something not happening is 1 minus the probability that it will happen. * Revise key facts about Probability. 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