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What is the sample space? »Its definition and meaning

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According to the concept provided by probability statistics, the sample space is, in general, the set of possible outcomes that derive from a random experiment. It is important to keep in mind that randomized experiments are those tests that, following a constant pattern of characteristics or initial conditions, can lead to a range of results that are completely different from each other; For this reason, it is usually defined as those experiments whose results cannot be predicted. These concepts are also related to that of the random event, the set of results, as such, that can come from a random experiment.

The probability theory, the branch of mathematics that gives life to a sampling or sample space, is that all those responsible for analyzing stochastic and random events, which are as a result of various tests or experiments. The sample space is, as already explained previously, the possible events. Thus, when an experiment is carried out in which two coins must be tossed into the air, the sampling would be reduced to the sets: {(heads, heads), (heads, tails), (tails, heads) and (tails, tails) }. From this, the events or events appear, the subsets of the sample spaces, which in turn can become elementary events when they only have one important element.

Some experiments require the existence of two sample spaces, since it has two elements that can determine the events. An example of these are card experiments; In these, a sampling space is dedicated to the possible number to appear (from the ace to the King), in addition to that related to the deck, which may vary according to the type of deck used.