# Section4-2and4-3 - Basic Concepts of Probability A Bourhim...

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Basic Concepts of Probability A. Bourhim Syracuse University MAT121, Spring 2015 A. Bourhim (Syracuse University) Basic Concepts of Probability MAT121, Spring 2015 1 / 14
Other details, examples and the solution of the examples will be presented in the class. Your attendance is therefore required. A. Bourhim (Syracuse University) Basic Concepts of Probability MAT121, Spring 2015 2 / 14
Rare Event Rule If, under a given assumption, the probability of a particular observed event is extremely small, we conclude that the assumption is probably not correct. Definition An outcome is the result of a single trial of an experiment. An event is one or more outcomes of an experiment. Any event which consists of a single outcome is called a simple event . The sample space is the list of all outcomes. A. Bourhim (Syracuse University) Basic Concepts of Probability MAT121, Spring 2015 3 / 14
Example A single 6-sided die is rolled. The possible outcomes of this experiment are: 1, 2, 3, 4, 5, 6. Rolling a single number (like 1 or 2) is a simple event. Rolling an even number is an event: 2, 4, 6. Rolling an odd number is an event: 1, 3, 5. Rolling a number large than 3 is an event: 4, 5, 6. A. Bourhim (Syracuse University) Basic Concepts of Probability MAT121, Spring 2015 4 / 14
Notation Events are denoted by A , B , C , ... Probability is the measure of how likely A is, and is denoted by P ( A ) .