Tree diagram

Definition

A tree diagram is a graphical tool used to map out and visualize the possible outcomes of a probability experiment. It helps in organizing and calculating probabilities for different events.

5 Must Know Facts For Your Next Test

1. A tree diagram starts with a single point (root) and branches out based on different outcomes.
2. Each branch represents a possible outcome or event, leading to further branches for subsequent events.
3. Probabilities along the branches are multiplied to find the joint probability of sequential events.
4. A tree diagram can be used to compute conditional probabilities by focusing on specific branches.
5. It is especially useful in visualizing complex problems involving multiple stages or events.

Review Questions

• What is the purpose of using a tree diagram in probability?
• How do you calculate the joint probability of sequential events using a tree diagram?
• In what scenarios would a tree diagram be particularly useful?

Related terms

Probability:

The measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Conditional Probability:

The probability of an event occurring given that another event has already occurred.

Contingency Table:

A table used to summarize the relationship between several categorical variables, showing how combinations of variables relate to observed frequencies.