Math ↠ Experiments and events ↠ Experiment (probability theory)

Experiment (probability theory)

Experiments or trials are procedures that can be repeated any number of times under identical conditions and the outcome of the experiment is not known beforehand.

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Properties

  • The outcome cannot be predicted (depends on chance).
  • All possible outcomes are known before the experiment. These are summarized in the sample space.
  • The experiment can be repeated under identical conditions.

Example

Throwing a dice is an experiment or trial. All characteristics apply:

  • Before the dice is thrown, it is not possible to predict which side it will land on.
  • All possible outcomes are known. The sample space = {number 1, number 2, ..., number 6}
  • The experiment can be repeated under identical conditions.

Other random experiments are e.g. pulling a ball out of a lottery drum, throwing a coin, spinning a wheel of fortune, etc.