Sample Space

For example in one roll of a die a 1 2 3 4 5 or 6 could come up. 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 sample space is usually denoted using set notation and the possible ordered outcomes are listed as elements in the set.

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The subset of possible outcomes of an experiment is called events.

Sample space. It may have a number of outcomes that usually depends on ob the experiment but if it has a finite set of numbers then it is called a discrete or finite sample space. When dealing with any type of probability question the sample space represents the set or collection of all possible outcomes. A sample space is a collection or a set of all such possible outcomes is known as a sample space of the experiment and is normally denoted by s. For the experiment of rolling three six sided dice the sample space consists of the set of the 216 possible triples of the numbers 1 2 3 4 5 and 6.

In other words it is a list of every possible result when running the experiment just once. The sample space is represented using the symbol s. For the experiment of rolling n six sided dice where n is a positive whole number the sample space consists of 6 n elements. A sample space may contain a number of outcomes which depends on the experiment.

Now we have two more questions. A sample space is a collection or a set of possible outcomes of a random experiment.

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