SOL Objective(s):
7.10 The student will determine the probability of compound events, using the Fundamental (Basic) Counting Principle.
The Basics and Background Information
The Fundamental (Basic) Counting Principle is a computational procedure to determine the number of possible outcomes of several events. It is the product of the number of outcomes for each event that can be chosen individually (e.g., the possible outcomes or outfits of four shirts, two pants, and three shoes is 4 · 2 · 3 or 24).
• Tree diagrams are used to illustrate possible outcomes of events. They can be used to support the Fundamental (Basic) Counting Principle.
• A compound event combines two or more simple events. For example, a bag contains 4 red, 3 green and 2 blue marbles. What is the probability of selecting a green and then a blue marble?
• Tree diagrams are used to illustrate possible outcomes of events. They can be used to support the Fundamental (Basic) Counting Principle.
• A compound event combines two or more simple events. For example, a bag contains 4 red, 3 green and 2 blue marbles. What is the probability of selecting a green and then a blue marble?
Essential Knowledge and Skills
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to...
• Compute the number of possible outcomes by using the Fundamental (Basic) Counting Principle.
• Determine the probability of a compound event containing no more than 2 events.
• Compute the number of possible outcomes by using the Fundamental (Basic) Counting Principle.
• Determine the probability of a compound event containing no more than 2 events.
Vocabulary and Things to Know:list of info

Be Able To:list of info

The topic: What is it and what will we learn?
Use the Fundamental Counting Principle to find the number of possible outcomes when more than one event happens. Just multiply the number of events/ways there are for each. (You can draw a tree diagram to show all the possible outcomes, but multilying the factors is so much faster.) :)
Fundamental County PrincipleExplanation with examples.


BasicsMathematics.comIllustration and explanation.

VirtualNerd.comVideo with explanation and examples.

Virtual Math LabTutorial from West Texas A&M University contains information, examples, and practice items with answers.

AlgebraClass.comProvides definition, explanation, and shows a tree diagram that illustrates how the Fundamental Counting Principle works.

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Khan Academy 