In a probabilistic experiment, a sample point is one of the possible outcomes of the experiment. The set of all sample points is called sample space.
The sample space is usually denoted by the Greek letter (Omega) and a sample point is indicated by its lowercase version (omega):
Suppose the random experiment is the flip of a coin. It can give rise to two possible outcomes: tail () and head (). and are the two sample points andis the sample space.
The notions of sample space and sample point are discussed in detail in the lecture entitled Probability.
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Please cite as:
Taboga, Marco (2021). "Sample point", Lectures on probability theory and mathematical statistics. Kindle Direct Publishing. Online appendix. https://www.statlect.com/glossary/sample-point.
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