Sample Space
A list of all probable outcomes is a —
In probability theory, the sample space refers to the set of all possible outcomes of an experiment. It is denoted by the symbol ‘S’ and is a fundamental concept in probability theory.
The sample space can be finite, countable infinite, or uncountable infinite. It is determined by the nature of the experiment and the possible outcomes that it can have. For example, if we flip a coin, the sample space would be {Heads, Tails}. If we roll a die once, the sample space would be {1, 2, 3, 4, 5, 6}.
In certain cases, the sample space can be represented using diagrams, such as a tree diagram or a Venn diagram. These diagrams help to visualize the possible outcomes of an experiment and aid in calculating the probability of an event.
The sample space is a crucial element in probability theory as it forms the basis for calculating the probability of any event. It is essential to have a clear understanding of the sample space before proceeding with any probability calculations.
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