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How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
Jenny is getting ready for a night on the town and is trying to decide what to wear. She has 3 shirts: one blue, one purple, and one red. She also could wear jeans or a skirt, and she could wear sandals or high heels. How many different outfits could Jenny make?
Summary
- Let's label each shirt, bottom, and type of shoe with an easy to remember letter
- We can figure out how many outcomes there are by making a tree diagram
- First list each shirt she could wear
- For each shirt, we can list each choice she has for bottoms
- Then, for each bottom, we can list each choice she has for shoes
- Each branch of the tree represents a different outcome, so count them to see how many outfits she could wear
- She has 12 outfits to choose from!

Notes
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- We need to organize the kinds of shirts, bottoms, and shoes she can wear
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- She has two options: jeans (J) or a skirt (S)
- We can pair each choice of shirt with each bottom
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- She has two options: sandals (S) or high heels (H)
- We can pair each choice of bottom with each pair of shoes
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- Each branch of the tree represents a different outcome, so count them to see how many outfits she could wear