Tree Diagrams

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Tree Diagrams
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Tree Diagrams

• A tree diagram is an organized list that can help
  you determine the number of possible outcomes.
• You start off a tree diagram by making branches
  for each outcome of the first event.
• Off of each of those branches are the different
  outcomes for the second event.
• This continues until youve drawn branches for
  all of the different events.

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Example 1

• Draw a tree diagram showing the possible results
  of tossing a coin three times.

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Example 2

• At the ice cream store there are two
  different kinds of cones you can choose from and
  four types of ice cream. The four types of ice
  cream are chocolate, vanilla, strawberry, and
  mint.
• a. Draw a tree diagram to determine the number
  of different single scoop ice cream cones you can
  get.
• b. List each possible outcome.

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Practice Problem 1

• The table shows the sandwich choices for lunch.
  How many sandwich options could you make with 1
  type of bread?
• Draw a tree diagram.
• List the sandwich options.

Meat Bread
Ham Turkey Roast Beef Egg Salad White Rye
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Practice Problem 2

• A spinner has three sections with the colors red,
  yellow and green. The spinner is spun two times.
• Draw a tree diagram to determine the number of
  outcomes.
• List each possible outcome.
• What is the probability that both spins will land
  on red?
• What is the probability of spinning two different
  colors?

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Practice Problem 3

• A pizza parlor has regular, deep-dish, and thin
  crust, 2 different cheeses, and 4 toppings. How
  many different one-cheese and one-topping pizzas
  can be ordered? Draw a tree diagram to figure
  this out.