Name: ________________________ Tree Diagram Worksheet
Do all your work on a separate sheet of paper. Draw a tree diagram for each problem
and then answer each question. Make sure to label the tree diagrams (including the sample space) and answers.
1.
Show the sample space for tossing one penny and rolling one six-sided number cube.
2.
A family has three children. How many outcomes are in the sample space that indicates the gender of the children?
3.
You are at a carnival. One of the carnival games asks you to pick a door and then pick a curtain behind the door. There are 3 doors and 4 curtains behind each door.
How many choices are possible for the player?
4.
There are 3 trails leading to Camp A from your starting position. There are 3 trails from Camp A to Camp B. How many different routes are there from the starting position to Camp B?
5.
A spinner has 4 equally likely regions numbered 1 to 4. The arrow is spun twice.
What is the sample space in this experiment?
6.
A jar contains 2 red, 2 green and 1 blue beads. Two beads are drawn with replacement. Use a tree diagram to illustrate the outcomes and figure out the probability of drawing at least one red bead.
7.
Create your own 3 event tree diagram problem that has 12 outcomes in the sample space. Be creative with your problem description!