# Tree Diagrams Worksheets

What Are Probability Tree Diagrams? Typically, we utilize a probability equation to help show the possible outcomes of an event. Instead of using complicated equations, we can use probability trees to help simplify the process. These probability trees allow us to visualize the mapped-out outcomes of an event. In some cases, we cannot figure out whether to add or multiply the probabilities. We can solve this confusion by using probability trees. Moreover, seeing our probability problem as a graph rather than equations can help us address the problem in a better way. Probability trees are broken down into two main parts, namely, branches and ends. We write the probability of an event on the branch of the tree, and the likely outcome is written at the end of the branch.

• ### Basic Lesson

Introduces the concept of tree diagrams and their possible outcomes. How many elements are in the sample space of tossing one coin? Draw a tree diagram to illustrate the possible outcomes. A sample space is a set of all possible outcomes for an activity or experiment.

• ### Intermediate Lesson

This lesson focuses applying tree diagrams to solve multidimensional sample spaces. Drawing one ball from the bottle which has red, green, blue, and white balls. Draw a tree diagram to illustrate the possible outcomes. There are four possibilities to select one ball from bottle.

• ### Independent Practice 1

Students practice with 20 Tree Diagrams problems. The answers can be found below. A hat contains 4 red marbles and 3 blue marbles. Draw a tree diagram to illustrate the possible outcomes for selecting two balls.

• ### Independent Practice 2

Another 20 Tree Diagrams problems. The answers can be found below. A model of computer comes with 3 different processor speeds and 2 different memory sizes. Draw a tree diagram to represent the possible outcomes.

• ### Homework Worksheet

Reviews all skills in the unit. A great take home sheet. Also provides a practice problem. Choosing an outfit from a blue shirt, a white shirt, a black pant, a pair of black shoes, and a pair of brown shoes? Draw a tree diagram to represent the possible outcomes.

• ### Skill Quiz

10 problems that test Tree Diagrams skills. A student can select one of 3 different history books and one of 2 different geography books. Draw a tree diagram to represent the possible outcomes.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

Answers for the lesson and practice sheets.

• ### Basic Lesson

Introduces the concept of tree diagrams and their possible outcomes. Introduces the fundamentals of Sample Spaces. Provides a basic application. How many elements are in the sample space of tossing one coin? Draw a tree diagram to illustrate total outcomes. A sample space is a set of all possible outcomes for an activity or experiment.

• ### Intermediate Lesson

This lesson focuses applying tree diagrams to solve multidimensional sample spaces. This lesson focuses on determining the outcome of Sample Spaces with word problems. How many elements are in the sample space of rolling 1 die? Draw a tree diagram to represent the possible outcomes. A die has only six possibilities 1, 2, 3, 4, 5 and 6.

• ### Independent Practice 1

Students practice with 20 Tree Diagrams problems. The answers can be found below. Students practice with 20 Sample Spaces problems. The answers can be found below. There are 2 different roads from city A to city B and 3 different roads from city B to city C. Draw a tree diagram to represent total path from city A to city C passing by city B?

• ### Independent Practice 2

Another 20 Tree Diagrams problems. The answers can be found below. Another 20 Sample Spaces problems. The answers can be found below. A model of computer comes with 2 different processor speeds and 3 different memory sizes. Draw a tree diagram to represent the possible outcomes.

• ### Homework Worksheet

Reviews all skills in the unit. A great take home sheet. Also provides a practice problem. Reviews all skills in the unit. A great take home sheet. Also provides a practice problem.

• ### Skill Quiz

10 problems that test Tree Diagrams skills. 10 problems that test Sample Spaces skills.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.