(Hint: look for the word “given” in the question. • Diagrams are NOT accurately drawn, unless otherwise … This video shows examples of using probability trees to work out the overall probability of a series of events are shown. Probability 9-1 Maths. Course: Mathematics • GCSE • Higher Level Table of Contents. Calculate the probability that he selects the same coloured ball each time, given that after each time a ball is selected, it is replaced. • Answer the questions in the spaces provided – there may be more space than you need. * Take Quick Quizzes and try to beat your saved best score. • Answer all questions. Powered by https://www.numerise.com/GCSE Revision Video 11 - Simple Probability GCSE (1 – 9) Probability Equation Questions Name: _____ Instructions • Use black ink or ball-point pen. This is the same as: what is the probability of getting a yellow AND a red OR a red AND a yellow. 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. OCR Maths Higher. 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). Like other exam boards, Pearson Edexcel has two exam tiers. There are 5 different ways. The GCSE Probability and Statistics Worksheets incorporate an appealing mosaic styling that provides a motivational hook for the learners. Topics covered include listing outcomes, independent & mutually exclusive events, tree diagrams, AND OR rules, as well as conditional probability and Venn Diagrams. 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. There are four ways, therefore P(9) = 4/36 = 1/9. Edexcel GCSE Maths Higher – Probability. There are 3 balls in a bag: red, yellow and blue. The rule is: On a probability tree, when moving from left to right we multiply and when moving down we add. In this example, the question states that the ball is not replaced. Jo and Dan share sweets in the ratio 10 : 4. Like other exam boards, OCR has two exam tiers. We call two events independent if the outcome of one of the events doesn't affect the outcome of another. Sign in, choose your GCSE subjects and see content that's tailored for you. We write P(heads) = ½ . Therefore, given that she wins the second set, the probability she won the first set is $$\frac{27}{37}$$. This section includes content, quizzes and past paper questions on calculating probability, relative frequency & probability, predicting outcomes, combining events, tree diagrams, frequency diagrams and Venn diagra 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. Probability trees are similar to frequency trees, but we instead put the probabilities on the branches and the events at the end of the branch.. Squeezed into this Probability Questions resource is a combination of Foundation and Higher Level learning materials. Each resource has been lovingly crafted to enhance the learning of Probability at GCSE Higher Level Maths. c) You will get an 8 or 9 in any of the 'blobbed' squares. Given that the tennis player wins the second set, find the probability that she won the first set. GCSE Revision Cards. Probabilities can be written as fractions, decimals or percentages on a scale from 0 to 1. 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. The probability of something which is impossible to happen is 0. Edexcel GCSE Paper 2 November 2012 Question 21 Box Plots . If she loses the first set, the probability that she wins the second set is $$\frac{1}{2}$$. ... Online Revision for GCSE Higher Students. Conditional probability occurs when it is given that something has happened. If it was, the probability of picking a red ball (etc.) 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. The first ball can be red, yellow or blue. A PowerPoint covering probability up to Higher GCSE level. 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! the second time will be the same as the first (i.e. 12th May 2017. Videos, worksheets, 5-a-day and much more Suppose now we consider the probability of 2 events happening. Probability GCSE Maths revision, covering probability single & multiple events, the rules of probability and probability trees, including examples and videos. This handy revision app teaches you everything you need to know about Probability for GCSE Maths. * 70 multiple choice questions with full worked solutions. If she wins the first set, the probability that she wins the second set is, . Calculator Higher - GCSE Revision When =−3, find the value of 5 2−2 . If two events A and B are independent (this means that one event does not depend on the other), then the probability of both A. If the first ball was blue, there will be 1 blue and 2 red balls in the bag when we pick the second ball. Probability is the likelihood or chance of an event occurring. GCSE Exam Questions on Higher Probability Probability Tree (Grade A) 1. First, represent the information on a tree diagram: From the tree diagram, the probability of winning the second set = $$\frac{27}{50} + \frac{10}{50} = \frac {37}{50}$$. 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. Discover curriculum-aligned practice questions sets for the entire OCR Mathematics curriculum below. Features: * Includes Foundation and Higher levels. The probability of something not happening is 1 minus the probability that it will happen. P(red and yellow) = 1/3 × 1/2 = 1/6 The probability is the number of yellows in the bag divided by the total number of balls, i.e. There are 9 altogether, so P(8 or 9) = 9/36 = 1/4 . Increase £43 by 16%. When the probability of one event depends on another, the events are dependent. Higher Tier Themed Papers Accelerated learning support for GCSE (9-1) Maths Foundation Master Spreadsheet Themed Papers. Raheem picks 2 balls at random.. 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). 24th May 2017. 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; Search for: Contact us. Round your answer to … The probability space shows us that when throwing 2 dice, there are 36 different possibilities (36 squares). Amy is going to play one game of snooker and one game of billiards. Therefore P(8) = 5/36 . Boring, but hopefully useful. So the probability of getting a blue is 1/3. 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 … This section on Probability 9-1 GCSE Maths covers both Foundation and Higher Level Probability Exam Questions. The probability that a boy chosen at random buys lunch from the … Copyright © 2004 - 2021 Revision World Networks Ltd. Their completion of all tasks will result in a fully formed mosaic design. A circle has area 40 I2. Read about our approach to external linking. * Revise key facts about Probability. The probability that a tennis player wins the first set of a match is, . 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? I hope you find this post useful – if you do, please like, comment and share the video on YouTube and Facebook. http://www.9-1gcsemaths.com/probability/ If you're not sure which exam tier (foundation or higher) your child is sitting, check with your child or their teacher. Therefore, out of 100 balls, 45 are green (using ratios). P(yellow and red) = 1/3 × 1/2 = 1/6 690 of these pupils are girls. Assumes that the basics have already been covered, but includes: - Venn diagrams and set notation - addition law - two-way tables - frequency trees and probability trees (both with and without replacement) - conditional probability using Venn diagrams and two-way tables - multiplication law for both independent and non-independent … P(yellow and red or red and yellow) = 1/6 + 1/6 = 1/3. There is a bag full of coloured balls, red, blue, green and orange. Model answers & video solution for Basic Probability. The rule is: The probability of picking a red OR yellow first is 1/3 + 1/3 = 2/3. 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 Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. Pearson Edexcel runs one GCSE Mathematics syllabus called (1MA1). Conditional probability - Higher. Foundation and Higher Level learning. If you're not sure which exam tier (foundation or higher) your child is … 5-a-day Workbooks. GCSE Maths - Probability (Conditional Probability, AND OR rules, Multiplying) A Grade Level Descriptors GCSE Maths Conditional Probability. The same logic can be applied to the cases of when a yellow or blue ball is picked out first. The Corbettmaths Textbook Exercise on Probability. For example, we might throw 2 dice and consider the probability that both are 6's. Probability Practice Questions Click here for Questions . Next Reverse Percentages Practice Questions. The Equation of a Circle and Graphs Revision Quiz. This free online revision course includes is tailored to cover exactly what you need to know for your OCR GCSE Higher Tier maths exams. 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. Balls are picked out and replaced. There are 6 beads in a bag, 3 are red, 2 are yellow and 1 is blue. Tree Diagrams . Hi there, I uploaded this lesson to YouTube as I thought this GCSE Maths questions was really challenging. This video is a guide to probability. Use Quizlet for AQA GCSE Mathematics to learn about everything from fractions to sequences. ... (HIGHER TIER) In the above example, the probability of picking a red first is 1/3 and a yellow second is 1/2. More Revision quizzes. Previous Direct and Inverse Proportion Practice Questions. One ball is picked out, and not replaced, and then another ball is picked out. With 5 of these possibilities, you will get 8. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). 1/3). Examiner’s tips OCR GCSE Probability Revision Prior to 2017 OCR ran two syllabuses; Mathematics A and Mathematics B. 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. Jo has 18 more sweets than Dan. From Numbers, operations and integers to statistics and probability, this course covers it all. Links to the relevant section of the GCSE Maths Specification, together with information and resources from each of … My Tweets. Find its diameter. John did this 1000 times and obtained the following results: a) What is the probability of picking a green ball? 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. Foundation and Higher Level pupils are provided for with GCSE Probability questions that are relevant to exam material and conducive to supporting a gradual learning curve. The probability the second ball will be yellow is 1/2 and the probability the second ball will be blue is 1/2. Conditional probability occurs when it is given that something has happened. How to do Probability? a) The black blobs indicate the ways of getting 8 (a 2 and a 6, a 3 and a 5, ...). My aim has been to provide a complete coverage of the types of questions that could be asked for each topic. These also contain crossover ... Probability . (Hint: look for the word “given” in the question. A/A* GCSE Maths revision Higher level worked exam (tree diagrams, conditional) Show Step-by-step Solutions. For every 1000 balls picked out, 450 are green. 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. When working out what the probability of two things happening is, a probability/ possibility space can be drawn. Student carry out an experiment in which they calculate the experimental probability of the pin landing 'pin up' or 'pin down'. In the above example, the probability of picking a red first is 1/3 and a yellow second is 1/2. What is the probability of picking a yellow? GCSE Maths Higher Revision Workbook. GCSE Maths Probability learning resources for adults, children, parents and teachers. b) The red blobs indicate the ways of getting 9. For example, if you throw two dice, what is the probability that you will get: a) 8, b) 9, c) either 8 or 9? From surds and bounds to polynomials and trigonometry, this course covers it all. 2/6 = 1/3. Practice Questions; Post navigation. Primary Study Cards. The probability is 1/3 for each of these. Click here for Answers . Discover curriculum-aligned practice question sets for the entire AQA Mathematics curriculum below. Both independent and conditional probability are covered. On the other hand, suppose we have a bag containing 2 red and 2 blue balls. Another way of representing 2 or more events is on a probability tree. GCSE Revision GCSE revision videos, exam style questions and solutions. Use Quizlet for OCR GCSE Mathematics to learn about everything from decimals to quadratic equations. How many sweets does Dan have? Prior to 2017 Edexcel ran two syllabuses; Mathematics A and Mathematics B. Knowing basic facts about equally likely outcomes can help to solve more complicated problems. 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. This means that in every 50 matches, she may win the second set 37 times (ie 37 becomes the denominator of the conditional probability). DartsPool (b) Work out the probability that David wins at Darts and also wins at Pool. The probability of something which is certain to happen is 1. There is also a formula that can be used for conditional probability: so $$P(A~given~B) = \frac{P(A~and~B)}{P(B)} = \frac{\frac{27}{50}}{\frac{37}{50}} = \frac{27}{37}$$. Cumulative Frequency . The experiment suggests that 450 out of 1000 balls are green. arrow_back Back to Probability of Combined Events Probability of Combined Events: GCSE Maths Specification and Awarding Body Information. Our tips from experts and exam survivors will help you through. GCSE Higher There are 1200 pupils at Thailand's largest British International school. What is the probability of getting a yellow and a red in any order? If she wins the first set, the probability that she wins the second set is $$\frac{9}{10}$$. Comes with two worksheets. Histograms . This quiz on Conditional Probability is a cracker, but can you crack it, and get 10 out of 10? Experimental probability and the importance of basing this on a large trial is also covered. We have produced 51 Foundation Tier themed papers. Example: A bag contains 4 red balls and 5 blue balls. Produced by Haslam and Hall Publishing, a leading educational publisher in the UK. The probability that a tennis player wins the first set of a match is $$\frac{3}{5}$$. If a red ball is picked out, there will be two balls left, a yellow and blue. There may be more space than you need to know about probability GCSE. 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