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List Outcomes Systematically

In this worksheet, students practise finding and using all the combinations for a given situation.

'List Outcomes Systematically' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Probability

Curriculum subtopic:   Probability Combined Events and Probability Diagrams

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Sometimes you get a question where there a loads of different options to choose from and it's difficult to see which option to choose.

If you get a question like this, you need to use a systematic listing stategy to write out all the combinations.

 

Example 1: A shop sells beef, plain and salt n vineger crisps and coke or fanta.

If you wanted to buy one bag of crisps and a drink, how many options do you have.

To solve this, we need to look at one of the options first and see how many of the other options you could have.

So: Beef Crisps could be bought with either Coke or Fanta           (B,C   B,F)

Next: Plain crisps could be bought with either Coke or Fanta        (P, C   P,F)

Lastly: Salt n Vinegar could be bought with Coke or Fanta           (S,C   S,F)

 

From this we can see that there are 6 different options.

 

The link with probability.

These questions are frequently paired with probability.

Example: A shop sells beef, plain and salt n vineger crisps and coke or fanta.

If someone randomly bought one bag of crisps and a drink, what is the probability they bought Beef Crisps and a fanta?

 

We know that there are 6 options in total and only one of these is the one we are looking for.

The probability will therefore be 1/6

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