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Concept of Compound Events

This topic deals with the concept of compound events, which is used when determining the probabilities of each part of multiple outcomes. This topic also introduces tree diagrams, which are used to organize and show the number of possible outcomes.

Topic: Compound Events

  • A compound event is an event that consists of two, or more, simple events

  • Probability of an event = Number of favorable outcomes / Number of possible outcomes

  • Use models or the counting principle to find all possible outcomes

  • The counting principle states that the number of possible outcomes in a compound event is equal to the product of the number of possible outcomes for each simple event

Topic: Making a Tree Diagram of Combinations and Permutations

  • A tree diagram is a method of visualizing and listing an experiment’s sample space. To draw a tree diagram, link all possible combinations of the outcomes together

  • The number of branches at the end of the tree diagram gives the total possible outcomes

  • A sample space is a list of all possible outcomes

  • Probability (desired event) = Number of ways the event can occur / Total number of equally likely outcomes
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