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These are the Transum resources related to the statement: "Use of Venn diagrams, tree diagrams, sample space diagrams and tables of outcomes to calculate probabilities. Combined events: P(A∪B)=P(A)+P(B)-P(A∩B). Mutually exclusive events: P(A∩B)=0. Conditional probability: P(A|B)=P(A∩B)/P(B). Independent events: P(A∩B)=P(A)P(B)".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Probability Basic probability questions in an online exercise.
- Snail Race Twelve snails have a race based on the sum of two dice. This is the teachers' version of the race simulation.
- Snail Race A race between 12 snails. Which snail is most likely to win? This is the students' version of the race simulation.
- Tree Diagrams Calculate the probability of independent and dependent combined events using tree diagrams.
- Two Dice Possibility Space An interactive visual aid showing the possibility space obtained when throwing two dice
- Venn Diagram Place each of the numbers 1 to 16 on the correct regions on the Venn diagram.
- Venn Diagram Pairs The traditional pairs or pelmanism game adapted to test knowledge of Venn diagrams.
- Venn Matching Game Match the sets statement with the equivalent Venn diagram. A drag and drop self marking exercise.
- Venn Paint Flood fill the regions of the Venn diagrams according to the given statements.
- Venn Totals Practise reading and creating Venn diagrams containing two and three sets and the number of elements in those sets.

Here are some exam-style questions on this statement:

- "
*If the universal set is the set of even numbers less than 30 and:*" ... more - "
*(a) There are 24 people at a Football Club supporters' meeting in Dudley. Thirteen of them are female.*" ... more - "
*Mrs Gill wants to give her nephew two sweets from a jar she keeps on her kitchen table. There are 11 sweets in this jar.*" ... more - "
*A driving test has two sections, practical(p) and theory(t). One day everyone who took the test passed at least one section. 77% passed the practical section and 81% passed the theory section.*" ... more - "
*The Venn diagram represents a collection of 40 books on sale in an online store.*" ... more - "
*A box contains only green and yellow crayons.*" ... more - "
*Lisa's nephew Sean has two boxes containing plastic building bricks.*" ... more - "
*Twenty nine children went to a zoo to photograph some animals. The numbers of children who photographed Lions(L), Monkeys(M) and Zebras (Z) are given as follows:*" ... more - "
*Neal is attending a Scout jamboree in Japan. He has both boots and trainers to wear. He also has the choice of wearing a cap or not.*" ... more - "
*Let \(J\) and \(T\) be independent events, where \(P(J)=0.4\) and \(P(T)=0.7\).*" ... more - "
*On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hannah's sweets. Here is the Transum version of this now famous Maths exam question:*" ... more - "
*When the arrow is spun once on this spinner, a 1 or a 2 or a 3 can be scored depending on the colour the arrow lands on.*" ... more - "
*Let A and B be events such that \(P (A) = 0.45\) , \(P (B) = 0.35\) and \(P (A \cup B) = 0.5\).*" ... more - "
*Sumville has three newspapers: The Chronicle, The Express and Moon, and The Scribe.*" ... more - "
*The Venn diagram below shows the events \(A\) and \(B\), and the probabilities p, q and r.*" ... more - "
*900 professional footballers were surveyed with the following results*" ... more - "
*Julie chooses a cake from a yellow box on a shelf. The box contains two chocolate cakes and three plain cakes. She eats the cake and chooses another one from the box. The tree diagram below represents the situation with the four possible outcomes where C stands for chocolate cake and P for plain cake.*" ... more - "
*Jane and David play two games of golf. The probability that Jane wins the first game is \(\frac56\). If Jane wins the first game, the probability that she wins the second game is \(\frac67\).*" ... more - "
*Two events A and B are such that \(P(A) = 0.57\) and \(P (A \cap B) = 0.21\).*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.

Transum,

Saturday, August 17, 2019

"An Advanced Starter that can be investigated by constructing sample spaces (or possibility spaces) is Best Dice.

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