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Compound Events

This topic deals with the concept of compound events, which is used when determining the probabilities of each part of multiple outcomes.

Topic: Probabilities of Compound Events

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

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

  • The tabulation of all possible outcomes is known as the sample space 

  • To find the probability of the occurrence of event A and event B (together or in succession), multiply their individual probabilities

  • To find the probability of the occurrence of event A or event B (but only one of them at one time), add their individual probabilities

Topic: Probabilities of Compound Events using Fundamental Counting Principle

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