Sample spaces Lecture 5.pdf

Sample spaces Lecture 5.pdf - Counting and Probability...

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Counting and Probability Sample Spaces
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Counting Sample Spaces We have seen that theoretical probability is calculated as: The all of the outcomes that can occur in an experiment is the sample space So to calculate theoretical probability we need to have ways to count how many outcomes are in a particular sample space
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Representing sample spaces We can represent sample spaces by: Listing all the possible outcomes Creating an organised table Using a 2D grid Using tree diagrams Using Venn diagrams
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Listing a sample space For a straight-forward probability experiment the sample space can be written a simple list For example, when rolling a dice the sample space will be {1, 2, 3, 4, 5, 6} Note the use of curly bracket Listing a sample space is only practical and efficient if the sample space is small For example, we would not list the full sample space if the experiment was draw a card from a pack
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Organised list
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