tree-diagram-notes

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					Tree diagrams



What is a tree diagram?        A visual representation that shows all possible outcomes of an event

                               A branching diagram



How do you create a            1. Identify the categories

tree diagram?                  2. Find how many outcomes are in each category

                               3. use branches to connect outcomes from one category to the next

                               4. count the last column – this is your answer

                               5. write your sample space



What is the sample             a list of all possible outcomes from an event

Space?                         The sample space is surrounded by brackets {}




The following example should be written on page 6 of the interactive notebook:

You are going on vacation and packing 4 pairs of pants and 3 shirts. How many outfits can you create
with these articles of clothing?

   1. Identify the categories: shirts and pants
   2. Find how many outcomes are in each category: shirts – red, white, blue; pants – red, white,
      blue, black
   3. Use branches to connect outcomes from one category to the next
   4. red

                white

         Red    blue

                black
            red

            white

    White blue

            Black



            red

            white

    Blue    blue

            black

5. Count the last column
   12 possible outcomes
6. Write your sample space
   {red red, red white, red blue, red black, white red, white white, white blue, white black, blue
   red, blue white, blue blue, blue black}

				
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posted:8/21/2012
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