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.
Table of contents
The sample space is usually denoted by the Greek letter
(Omega) and a sample point is indicated by its lowercase version
(omega):
![[eq1]](/images/sample_point__3.png){kind=small}
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
and![[eq2]](/images/sample_point__8.png){kind=small}
is
the sample space.
The notions of sample space and sample point are discussed in detail in the lecture entitled Probability.
Previous entry: Sample mean
Next entry: Sample size
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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