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Do I need a full closet? Using tree diagrams to show multiple outcomes
Math Warm-up  How many outcomes are in the sample space for each experiment? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How many ways can he  dress for success? ,[object Object],[object Object],[object Object]
Pants, Ties, Shirts and Vests ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Using a tree diagram Gray Tan Blue Black Each of the pants choices are listed, Each pair of pants can be matched with one of three colors of shirt: Red, brown, white
Setting up a tree diagram Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White Notice that if there are three choices for each of the pants there will be 4x3 or 12 different combinations.
4 x 3 x 2 x ? Each of the twelve groups now can be paired with one of two vests.  Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan We can now Add attach 4 ties to each Of the third list (vests) Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White
How many combinations can be made? Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White bb td ys tl
How many combinations can be made? Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan BB TD YS TxL Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl
With just 13 articles of clothing… ,[object Object],[object Object],[object Object]
How many clothing combinations could be made with… ,[object Object],[object Object],[object Object],[object Object]
Assignment ,[object Object],[object Object]

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13 2treediagram

  • 1. Do I need a full closet? Using tree diagrams to show multiple outcomes
  • 2.
  • 3.
  • 4.
  • 5. Using a tree diagram Gray Tan Blue Black Each of the pants choices are listed, Each pair of pants can be matched with one of three colors of shirt: Red, brown, white
  • 6. Setting up a tree diagram Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White Notice that if there are three choices for each of the pants there will be 4x3 or 12 different combinations.
  • 7. 4 x 3 x 2 x ? Each of the twelve groups now can be paired with one of two vests. Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan We can now Add attach 4 ties to each Of the third list (vests) Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White
  • 8. How many combinations can be made? Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White bb td ys tl
  • 9. How many combinations can be made? Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan Blue Tan BB TD YS TxL Gray Tan Blue Black Red Brown White Red Brown White Red Brown White Red Brown White bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl bb td ys tl
  • 10.
  • 11.
  • 12.