Tree Diagrams 1 Tree Diagrams A tree diagram

Tree Diagrams 1

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 you’ve drawn branches for all of the different events. 2

Example 1 • Draw a tree diagram showing the possible results of tossing a coin three times. 3

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. 4

Practice Problem 1 The table shows the sandwich choices for lunch. How many sandwich options could you make with 1 type of bread? a. Draw a tree diagram. b. List the sandwich options. Meat Bread Ham Turkey Roast Beef Egg Salad White Rye 5

Practice Problem 2 A spinner has three sections with the colors red, yellow and green. The spinner is spun two times. a. Draw a tree diagram to determine the number of outcomes. b. List each possible outcome. c. What is the probability that both spins will land on red? d. What is the probability of spinning two different colors? 6

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. 7