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Asked by: Ainhoa Knopek
science space and astronomyWhat is the difference between event and sample space?
It's sometimes confused with the sample space of an experiment, referred to usually by omega(Ω), but is different: while the sample space of an experiment contains all possible outcomes, the event space contains all sets of outcomes; all subsets of the sample space.
Keeping this in view, what is event and sample space?
The set of all the possible outcomes is called the sample space of the experiment and is usually denoted by S. Any subset E of the sample space S is called an event. Here are some examples. Example 1 Tossing a coin. E = {2,4,6} is an event, which can be described in words as ”the number is even”.
Subsequently, one may also ask, what is the difference between outcome and sample space?
The sample space is {1, 2, 3, 4, 5, 6}, basically a list of the possible result you get from rolling a die. The outcome space is the list of possible outcomes, i.e. the possible results from the experiment.
In probability theory, the sample space (also called sample description space or possibility space) of an experiment or random trial is the set of all possible outcomes or results of that experiment. A subset of the sample space is an event, denoted by E.