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These are the Transum resources related to the statement: "Pupils should be taught to calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions".

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

- Dice Bingo Choose your own numbers for your bingo card. The caller uses two dice and adds the numbers together.
- Dice Investigation Throw two dice and multiply the scores. Investigate the different products you can obtain. What about adding? What about using three dice?
- Probability Basic probability questions in an online exercise.
- Probability Video A reminder of how to work out basic probability leading to simple combined events and expected values.
- Tree Diagrams Calculate the probability of independent and dependent combined events using tree diagrams.

Here are some exam-style questions on this statement:

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*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 - "
*The table shows the shoe sizes of 35 male teachers.*" ... 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 - "
*Aran, Betsy and Connor collect data about which way up a drawing pin will land if dropped from a fixed height. Here are their results.*" ... more - "
*There are 1200 pupils at Thailand's largest British International school. 690 of these pupils are girls.*" ... more - "
*For this question, give all your answers as fractions.*" ... more - "
*A box contains only green and yellow crayons.*" ... more - "
*Lisa's nephew Sean has two boxes containing plastic building bricks.*" ... more - "
*Percy throws a fair dice until he gets a five.*" ... 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 - "
*There are \(x\) left shoes and 7 right shoes in a dark cupboard.*" ... more - "
*There are only \(b\) blue counters and \(y\) yellow counters in a bag.*" ... 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

Here are some Advanced Starters on this statement:

**Best Dice**

Which of the unusual dice would you choose to give you the best chance of winning the prize? more**How Many Left Handers?**

Work out the number of members if the probability of left-handed members being randomly selected is given. more

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

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