What Is Sample Space
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Probability concerns itself with random phenomena or probability experiments.
What is sample space. These experiments are all different in nature and can concern things as diverse as rolling dice or flipping coins. For a multi step experiment a tree diagram can be used to determine the members of a sample space. The collection of all possible results of an experiment represented as points. The concept of a sample space is fundamental to probability theory.
The sample space of an experiment is the set of all possible outcomes for that experiment. This is no coincidence. You may have noticed that for each of the experiments above the sum of the probabilities of each outcome is 1. Sample space in the study of probability an experiment is a process or investigation from which results are observed or recorded.
An outcome is a possible result of an experiment. It is the set of all possibilities or possible outcomes of some uncertain process. 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 the set of all possible outcomes in the experiment.
A sample space is usually denoted using set notation and the possible ordered outcomes are listed as elements in the set. To find the sample space you need to make sure you think of all the possible results. The sum of the probabilities of the distinct outcomes within a sample space is 1. Be sure to pay close attention to the context and what aspect of the probability experiment is of interest.
The sample space for a random experiment is the set of all possible outcomes for the experiment. The sample space of an experiment is just a listing of all the possible outcomes results from that experiment.
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