The Counting Principle
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The Counting Principle
The counting principle for Grade 8: eight situations with many outcomes, from meals and outfits to lock codes, locker tags, coin tosses, and race finishes, counted by multiplying the choices at each step, and the expression that counts them. With an answer key.
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Teach it first
Sample SpacesA teaching handout to hand out before this sheet: the rule, worked examples and common mistakes.- Pages
- 1
- Last updated
- Time
- About 20 minutes
- Answer key
- Included
- Goes with
- Sample Spaces
- Printing
- Black and white
- Related curriculum
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Give the probability of an event as a fraction, decimal or percent from 0 to 1, list sample spaces with tables and tree diagrams, find probabilities of compound events, and check a probability worked out in theory against the results of an experiment.
Reviewed by Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Act out a few questions with a real spinner, coins or a bag of cubes before the sheet.
- Have the child explain each answer: "It is unlikely because there is only one red."
- For experiments, have the child predict first, then compare the prediction with the results.
Common mistakes
- Thinking a result that has not happened for a while is "due". Each coin flip is new.
- Mixing up impossible and unlikely. Impossible means it can never happen.
- Writing a probability greater than 1. A probability is between 0 and 1.
