* 70 multiple choice questions with full worked solutions. The probability the second ball will be yellow is 1/2 and the probability the second ball will be blue is 1/2. Search for: Contact us. ... Online Revision for GCSE Higher Students. For example, if we throw two dice, the probability of getting a 6 on the second die is the same, no matter what we get with the first one- it's still 1/6. P(yellow and red) = 1/3 × 1/2 = 1/6 However, if the first ball was red, there will be 1 red and 2 blue balls left so the probability the second ball is blue is 2/3. In this example, the question states that the ball is not replaced. How to do Probability? If she wins the first set, the probability that she wins the second set is \(\frac{9}{10}\). Probability Practice Questions Click here for Questions . (Hint: look for the word “given” in the question. http://www.9-1gcsemaths.com/probability/ In the above example, the probability of picking a red first is 1/3 and a yellow second is 1/2. Videos, worksheets, 5-a-day and much more Produced by Haslam and Hall Publishing, a leading educational publisher in the UK. There are 9 altogether, so P(8 or 9) = 9/36 = 1/4 . Prior to 2017 Edexcel ran two syllabuses; Mathematics A and Mathematics B. Probability GCSE Maths revision, covering probability single & multiple events, the rules of probability and probability trees, including examples and videos. OCR GCSE Probability Revision Prior to 2017 OCR ran two syllabuses; Mathematics A and Mathematics B. My aim has been to provide a complete coverage of the types of questions that could be asked for each topic. Example: A bag contains 4 red balls and 5 blue balls. GCSE Higher There are 1200 pupils at Thailand's largest British International school. Read about our approach to external linking. For example, we might throw 2 dice and consider the probability that both are 6's. We write P(heads) = ½ . The probability that a tennis player wins the first set of a match is, . Primary Study Cards. Previous Direct and Inverse Proportion Practice Questions. If you're not sure which exam tier (foundation or higher) your child is sitting, check with your child or their teacher. If she loses the first set, the probability that she wins the second set is, From the tree diagram, the probability of winning the second set =, \(\frac{27}{50} + \frac{10}{50} = \frac {37}{50}\), Therefore, given that she wins the second set, the probability she won the first set is, \(P(A~given~B) = \frac{P(A~and~B)}{P(B)} = \frac{\frac{27}{50}}{\frac{37}{50}} = \frac{27}{37}\), Home Economics: Food and Nutrition (CCEA). Higher Tier Themed Papers Accelerated learning support for GCSE (9-1) Maths Foundation Master Spreadsheet Themed Papers. 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 There is a bag full of coloured balls, red, blue, green and orange. Use Quizlet for AQA GCSE Mathematics to learn about everything from fractions to sequences. Sign in, choose your GCSE subjects and see content that's tailored for you. Click here for Answers . The probability is the number of yellows in the bag divided by the total number of balls, i.e. If the first ball was blue, there will be 1 blue and 2 red balls in the bag when we pick the second ball. How many sweets does Dan have? 12th May 2017. John did this 1000 times and obtained the following results: a) What is the probability of picking a green ball? I hope you find this post useful – if you do, please like, comment and share the video on YouTube and Facebook. If she loses the first set, the probability that she wins the second set is \(\frac{1}{2}\). Conditional probability occurs when it is given that something has happened. We have produced 51 Foundation Tier themed papers. Round your answer to … 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 … From surds and bounds to polynomials and trigonometry, this course covers it all. More Revision quizzes. OCR Maths Higher. If we have two events A and B and it isn't possible for both events to occur, then the probability of A or B occuring is the probability of A occurring + the probability of B occurring. Foundation and Higher Level learning. There is also a formula that can be used for conditional probability: so \(P(A~given~B) = \frac{P(A~and~B)}{P(B)} = \frac{\frac{27}{50}}{\frac{37}{50}} = \frac{27}{37}\). Examiner’s tips Our tips from experts and exam survivors will help you through. If she wins the first set, the probability that she wins the second set is, . The probability of something which is certain to happen is 1. Student carry out an experiment in which they calculate the experimental probability of the pin landing 'pin up' or 'pin down'. the second time will be the same as the first (i.e. Like other exam boards, Pearson Edexcel has two exam tiers. Probabilities can be written as fractions, decimals or percentages on a scale from 0 to 1. arrow_back Back to Probability of Combined Events Probability of Combined Events: GCSE Maths Specification and Awarding Body Information. 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. b) The red blobs indicate the ways of getting 9. The experiment suggests that 450 out of 1000 balls are green. The same logic can be applied to the cases of when a yellow or blue ball is picked out first. 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