Tree Diagrams

Tree Diagrams
Counting Principles
Self-Check Quiz

A tree diagram is a graphic organizer used to list all possibilities of a sequence of events in a systematic way.  Tree diagrams are one method for calculating the total number of outcomes in a sample space.

The senior class is planning a trip to the Virgin Islands.  The class officers are exploring various travel options.  From the high school, they will travel to Miami either by car ,bus ,train or plane . To travel to St. Thomas from Miami, they can take a plane or a ship . A tree diagram clearly illustrates the each of the possible ways the group can travel on their trip.  See the travel tree!

Three coins are tossed: a dime, a nickel and a penny.  A tree diagram shows all of the possible outcomes for flipping the three coins in an organized manner.  See the money tree!

A tree diagram can illustrate the different single-dip ice cream sundaes can be made from the ice cream flavors: chocolate, vanilla, and strawberry and the topping choices: fudge and butterscotch.  See the yummy tree!