Experiment (probability theory)

In probability theory, an experiment or trial is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space. An experiment is said to be random if it has more than one possible outcome, and deterministic if it has only one.
Random experiments are often conducted repeatedly, so that the collective results may be subjected to statistical analysis. A fixed number of repetitions of the same experiment can be thought of as a composed experiment, in which case the individual repetitions are called trials. For example, if one were to toss the same coin one hundred times and record each result, each toss would be considered a trial within the experiment composed of all tosses (n = 100).
A random experiment is described or modeled by a mathematical construct known as a probability triple/space, (\Omega, \mathcal{F}, P[\cdot]) . A probability triple is constructed and defined with a specific kind of experiment or trial in mind (e.g. coin tosses).