Introduction to Tree Diagrams

Create a Tree Diagram

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By Henry Phan

Multiple Choice

How many combination choices are there in total?

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Multiple Choice

Determine how many combination choices if I want to wear with a black-heart T-shirt?

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• 8

Multiple Choice

Determine how many combination choices if I want to wear with a blue T-shirt?

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• 8

Multiple Choice

Determine how many combination choices if I want to wear with a black-heart T-shirt and a red short?

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At a fast food restaurant, you can make a fun choice dining out for lunch. You will have either White Bread or Wheat Bread for the first choice for your fresh sandwiches. Then you will have either Ham Meat or Beef Meat for your sandwich as a second choice. Finally you will have either American cheese or Swiss cheese as your final choice for your sandwich.

A. Create a tree diagram and table

B. How many possible outcomes for the combination in total?

C. How many possible outcomes if a customer will select a sandwich with white bread?​

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​A Scenario

​A Tree Diagram

​How many the possible outcomes (choices) in total? _______

​What are the possible outcomes that a customer will select a sandwich with white bread? _______

​A Tree Diagram

​How many the possible outcomes (choices) in total? _______

​What are the possible outcomes that a customer will select a sandwich with white bread? _______

Justine is a wedding coordinator. She is selecting the menu options for the reception. First, she will give the guests a choice of Salad or Soup for the first course. Then, she will allow them to pick from a chicken, steak, or a vegetarian for their main course.  Finally, she will allow the guests to choose bride’s vanilla cake or groom’s chocolate cake.

A. Create a tree diagram

B. Determine how many combinations of food choices are possible?

C. What are the choices that a guest will select salad dishes?

D. What are the choices that a guest will select salad and steak dishes?​

​A Scenario

​A Tree Diagram

​Determine how many combinations of food choices are possible? __________

​What are the choices that a guest will select salad dishes? __________

​What are the choices that a guest will select salad and steak dishes? __________

​A Tree Diagram

​Determine how many combinations of food choices are possible? __________

​What are the choices that a guest will select salad dishes? __________

​What are the choices that a guest will select salad and steak dishes? __________

​A Scenario

Jane will host a new year party. She is selecting the menu options for the reception. First, she will allow her guests a choice of Fried Tortellini, Turkey Pinwheels, or Sheet Pan Nachos for appetizers. Then, she will allow them to pick from Curry Roast Chicken or Marinated Roast Turkey for their main course.  Finally, she will allow the guests to choose Fried Ice Cream Bars or Irish Cream-Topped Brownie for dessert.

A. Create a tree diagram

B. Determine how many combinations of food choices are possible?

C. What are the choices that a guest will select Turkey Pinwheels dishes?

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Draw

A. Create a tree diagram using the given scenario.

B. Determine how many combinations of food choices are possible?

C. What are the choices that a guest will select Turkey Pinwheels dishes?