Tree Diagram

Reviewed by Annapoorna | Updated on Aug 27, 2020

What is a Tree Diagram?

A tree diagram is a method in the fields of general mathematics, probability and statistics. A tree diagram helps to measure the number of possible outcomes of an event or problem and to present those potential outcomes in an orderly fashion.

Tree diagrams are very flexible and can be useful in many areas, including finance and are also called probability trees or decision trees.

Tree Diagram Explained

A tree diagram allows a user to start at a single point and make mutually exclusive decisions. Alternatively, it can encounter mutually exclusive events to follow a path down the tree branches. Using a tree diagram is simple once each node is assigned the proper values. A likelihood must be allocated to the chance nodes, which represent a potential outcome.

Decision nodes ask a question and answer nodes like "yes" or "no" will respond. Also, a benefit is associated with a node, such as a cost or a reward. Tree diagrams combine a decision's odds, choices, costs, payouts and offer a strategic response. In finance, given the price of the underlying security at any point in time, we can model the put or call option price using a decision tree.

How does a Tree diagram function?

The concept behind a tree diagram is to start with all, or one, on the left. The branch splits into a smaller branch for every outcome when there are many potential outcomes.

The diagram begins at a single node, with branches extending to additional nodes, representing decisions or events which are mutually exclusive. The review will start at the first blank node. An event or decision leads to node A or B, known as secondary nodes. Additional decisions or events may arise from these secondary nodes leading to the third level of nodes before a conclusion is reached.

Tree diagrams are used in strategic decision-making, business valuations, or probability estimates, in addition to mathematics. Tree diagrams combine a decision's odds, choices, costs, and payouts and offer a strategic response.