What is a Sample Space?

Data Science, AI and ML
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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. A sample space may contain a number of outcomes that depends on the experiment. If it contains a finite number of outcomes, then it is known as discrete or finite sample spaces.

  • Sample space is all the possible outcomes of an event.
  • The sample space is represented using the symbol, “S”
  • The samples spaces for a random experiment is written within curly braces “ { } “
  • The outcomes of an experiment are random and the sample space becomes the universal set for some particular experiments.
  • Example: For rolling a die, we will get the sample space, S as {1, 2, 3, 4, 5, 6 }