In probability theory, a tree diagram may be used to represent a probability space tree diagrams may represent a series of independent events such as a set of coin flips or conditional probabilities such as drawing cards from a deck, without replacing the cards. Probability and tree diagrams worksheets questions and revision. Probability tree diagrams solutions, examples, videos. F probability h10 probability new gcse content resource. Probability 2 h a collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas.
Probability 2 h gcse maths tutorials, revision and. 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 tree diagram. Taken from the edexcel 2 year gcse scheme of work, containing prior knowledge, keywords, opportunities for problem solving and common misconceptions. The probabilities of the dice landing on each of the numbers are a work out the value of p. The probability that it is on time on any day is 0. The probability of taking route a is 35%, and b is 25%. This means that most of the links on this page are not yet active. 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.
For daisy, wearing a bracelet and wearing a necklace are independent events. Probability is the study of how likely things are to happen. In the following problems, were now shifting to probability tree diagrams that are not in the classic shape. I will be working hard over the next couple of weeks to upload relevant resources and activate these links. Readytouse mathematics resources for key stage 3, key stage 4 and gcse maths classes.
Tree diagrams are a way of showing combinations of two or more events. Route rhayader 07 hereford stops for a break no yes 41 b. Tree diagrams can be confusing, so it is helpful for a guided example to help them learn how to use these helpful diagrams to unders. Gcse exam questions probability tree diagrams teaching. Look at this example, which shows the probability that my bus is on time or late on monday and tuesday. We express probabilities either as fractions, decimals, or percentages, and they always fall between 0 and 1, where 0 represents total impossibility and 1 represents total certainty.
You can see more uses of tree diagrams on conditional probability. The probability that he gets a lift to college is 04. Tree diagrams show a clear pattern of probabilities in branches rather than in a table. Probability that daisy wears a necklace 2 21 b o complete the tree diagram.
I created this for a lesson observation the pp and worksheet are adaptations of other resources i found online and tes so thank you for the help. Tree diagrams are particularly useful in probability since they record all possible outcomes in a. Count outcomes using tree diagram video khan academy. Completing a probability tree diagram for dependent events. Tree diagrams ks4gcse maths probability teaching resources. Finding probability using tree diagrams and outcome tables. Each branch in a tree diagram represents a possible outcome. Tree diagrams are useful to answer probability questions where there is more than one event happening in succession. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. For more information please see the edexcel gcse maths page. Tree diagrams display all the possible outcomes of an event. A worksheet with a range of problemsolving activities to give students practice of using probability tree diagrams with both independent probability and conditional probability. Gcse exam questions on higher probability probability tree grade a 1.
The lesson went really well so i wanted to share it. Awesome resource for pushing students understanding of using lists, tree diagrams and tables to find the probability of compound events. From the dot, branches are drawn to represent all possible. How to use a tree diagram to solve probability gcse question level 5 duration. Probability and tree diagrams worksheets maths made easy. Probability tree diagrams solutions, examples, videos, worksheets.
The probability of being late for work if she goes by route a is 10% and similarly by route b is 5% and route c is 2%. Useful as a revision activity at the end of a topic on probability tree diagrams or for gcse maths revision. The answers to the worksheet are handwritten on the pdf attached. For example, the probability of the result of coin flip being heads is 0. Probability tree diagrams edexcel gcse maths how to do probability aa gcse maths revision higher level worked exam tree diagrams, conditional rotate to landscape screen format on a mobile phone or small tablet to use the mathway widget, a free math problem solver that answers your questions with stepbystep explanations. Gcse exam questions on higher probability probability tree. Make sure all probabilities add to 1 and you are good to go. This is a lesson on introducing probability tree diagrams. If it is thrown three times, find the probability of getting a three heads b 2 heads and a tail c at least one head. Probability and tree diagrams worksheets, questions and revision. A collection of 91 maths gcse sample and specimen questions from aqa, ocr.
Probability for gcse and igcse tree diagrams vivax. Gcse tree diagrams teaching resource teachit maths. How to use a tree diagram to solve probability gcse question level. Amy is going to play one game of snooker and one game of billiards. Updated for the 2012 exam ultimate gcse statistics. Probability revision and probability tree diagrams. Tree diagrams can be used to find the number of possible outcomes and calculate the probability of possible outcomes. Each node on the diagram represents an event and is associated with the probability of that event. The probability that daisy wears a bracelet and wears a necklace is 063.
What is the probability that a voter who ignores the reporters is a bush voter. Worksheet of gcse exam questions based on probability tree diagrams good for use as independent work for homework practice of gcse exam style questions or in class as a worksheet for consolidation and working together in groups during whole class teaching. The following examples show how the way they are used in two different situations. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed. Probability tree diagrams animated powerpoint independent events dependent events worksheet included pdf gcse higher the demo video shows an accelerated. A probability tree diagram shows all the possible events. These probability and tree diagrams interactive notes can be used with interactive journals or on their own. Construct a tree diagram and use it to answer a probability question. Sometimes he decides to stop for a break during his journey. A tree diagram is simply a way of representing a sequence of events. Probability, tree diagrams, gcse, differentiated, worksheets. Draw a tree diagram to represent the probabilities in each case.
Alevel edexcel statistics s1 june 2008 q1d probability tree diagrams. The probability that he travels through rhayader and stops for a break is 042. Download free pdfs or subscribe for access to multiple formats. Students can learn what probability is and how to find it. Finding probability using tree diagrams and outcome tables chapter 4. Probability gcse tree diagrams exam questions with videos. The probability that he wins on the penny drop is 0. Each branch is labelled at the end with its outcome and the probability. Aqa june 2004 intermediate paper 2 calculator ok an ordinary sixsided dice is biased.
Probability tree diagrams for independent events how to solve probability problems using probability tree diagrams. Gcse 91 exam question practice probability trees teaching. Mar 29, 2017 gcse maths revise probability and tree diagrams. Dartspool b work out the probability that david wins at darts and also wins at pool. Sample spaces are often represented using tree diagrams or charts. Examsolutions youtube video stuart the examsolutions guy 20200225t15.
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