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These are the Transum resources related to the statement: "Pupils should be taught to {calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams}".

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

- Venn Worksheet A collection of worksheets all related to the regions in Venn diagrams and the set notation describing them (answers included)
- Predictive Survey An eight question survey collecting data for an amazing probability experiment.
- Venn Totals Practise reading and creating Venn diagrams containing two and three sets and the number of elements in those sets.
- 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 Paint Flood fill the regions of the Venn diagrams according to the given statements.
- Tree Diagrams Calculate the probability of independent and dependent combined events using tree diagrams.

Here are some exam-style questions on this statement:

- "
*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 - "
*Sumville has three newspapers: The Chronicle, The Express and Moon, and The Scribe.*" ... 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 - "
*Mathsland's national currency comes in denominations of 1 unit, 5 units, 10 units and 50 units. Sofya places this collection of these coins in her purse then, without looking, takes out two coins at random, one after the other.*" ... more

Here are some Advanced Starters on this statement:

**Bertrand's Box Paradox**

Bertrand's box paradox is a paradox of elementary probability theory, first posed by Joseph Bertrand in 1889 more**Other Child's Gender**

What is the probability that the other child is also a boy? more**Tri-Junction**

A real life situation that can be analysed with the use of a tree diagram. more**Two Pots**

Use tree diagrams to find the surprising result that probabilities of different situations are the same. more**What Question?**

Write down all the possible questions that could have been asked if this was the Venn diagram provided in a mathematics exam. more

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

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