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These are the Transum resources related to the statement: "Understand and use mutually exclusive and independent events when calculating probabilities. Link to discrete and continuous distributions".

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

- Tree Diagrams Calculate the probability of independent and dependent combined events using tree diagrams.
- Probability Basic probability questions in an online exercise.
- Venn Matching Game Match the sets statement with the equivalent Venn diagram. A drag and drop self marking exercise.
- Probability Video A reminder of how to work out basic probability leading to simple combined events and expected values.
- Venn Totals Practise reading and creating Venn diagrams containing two and three sets and the number of elements in those sets.
- Two Dice Possibility Space An interactive visual aid showing the possibility space obtained when throwing two dice
- Snail Race A race between 12 snails. Which snail is most likely to win? This is the students' version of the race simulation.
- Venn Paint Video Here is a demonstration of how to illustrate union, intersection and complement of sets as they appear in Venn diagrams.
- Tree Diagrams Video Tree diagrams can be really helpful showing combinations of two or more events in order to calculate probabilities.
- Venn Diagram Pairs The traditional pairs or pelmanism game adapted to test knowledge of Venn diagrams.
- Venn Diagram Place each of the numbers 1 to 16 on the correct regions on the Venn diagram.
- Venn Paint Flood fill the regions of the Venn diagrams according to the given statements.

Here are some exam-style questions on this statement:

- "
*If the universal set is the set of positive even numbers less than 30 and:*" ... more - "
*(a) Complete the Venn diagram to represent this information:*" ... more - "
*The midnight train to Georgia is not the most reliable. The probability that the train will be late on any day is 0.35*" ... 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 - "
*Let \(J\) and \(T\) be independent events, where \(P(J)=0.4\) and \(P(T)=0.7\).*" ... 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

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

This Bicen Maths video clip shows everything you need to memorise on probability for A Level Statistics.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.