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The sample space of an experiment is the set of all possible outcomes of the experiment. For example, suppose we roll a dice one time. The sample space of possible outcomes includes: Sample space = 1, 2, 3, 4, 5, 6. Using notation, we write the symbol for sample space as a cursive S and the outcomes in brackets as follows: S = {1, 2, 3, 4, 5, 6}
In probability theory, the sample space (also called sample description space, [1] possibility space, [2] or outcome space [3]) of an experiment or random trial is the set of all possible outcomes or results of that experiment. [4]
The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a …
Sample Space is a key concept in probability theory and is used to determine the likelihood of different results occurring in a random experiment or event, by representing all possible outcomes or events that can occur.
A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events.
This guide introduces the fundamental concept of sample space in probability theory, aimed at beginners. Sample space is pivotal in understanding how probabilistic models are constructed...
A sample space is the set of all possible outcomes (equally likely) of a probability experiment, typically denoted using set notation. Well-defined sample spaces are a key aspect of of a probabilistic model, along with well-defined events with assigned probabilities.