What is the Fundamental Counting Principle used for?
Tree diagrams are used to represent all possible outcomes of a given event. The Fundamental Counting Principle is a way to calculate the number of outcomes for two or more events. These two concepts can be combined to work out the probability of an event happening.
Tree Diagrams and the Fundamental Counting Principle
Tree Diagrams: A graphical representation of all the possible outcomes of a given event. Fundamental Counting Principle: A mathematical rule which states that if an event has m possible outcomes, and another event has n possible outcomes, then the total number of possible outcomes for both events is m x n. Probability: The measure of how likely an event is to happen, expressed as a fraction, decimal or percentage.
What do you think is the most important part of a tree diagram?
- The branches
- The leaves
- The trunk
- The Fundamental Counting Principle
The Fundamental Counting Principle was first used in the 1700s by a Swiss mathematician called Jacob Bernoulli. In mathematics, tree diagrams are also known as decision trees. Probability is used in many areas of science, including weather forecasting.
Draw / write: What is a tree diagram, and why is it useful?
Draw / write: How does the Fundamental Counting Principle help us solve problems?
How many possible outcomes will there be if you have to pick between 3 shirts, 3 pants and 4 shoes?
What have you learned about tree diagrams and the Fundamental Counting Principle?
Create your own tree diagram and use the fundamental counting process.
Which way is easier for you? Fundamental Counting Process or Tree Diagram
- Fundamental Counting Process
- Tree Diagram
What challenges have you faced in learning about tree diagrams and the Fundamental Counting Principle?