What Is Sample Space
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Be sure to pay close attention to the context and what aspect of the probability experiment is of interest.
What is sample space. For a multi step experiment a tree diagram can be used to determine the members of a sample space. These experiments are all different in nature and can concern things as diverse as rolling dice or flipping coins. Probability concerns itself with random phenomena or probability experiments.
A sample space is the set of all possible outcomes in the 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 usually denoted using set notation and the possible ordered outcomes are listed as elements in the set. The collection of all possible outcomes of a probability experiment forms a set that is known as the sample space. To find the sample space you need to make sure you think of all the possible results.
This is no coincidence. The concept of a sample space is fundamental to probability theory. The sum of the probabilities of the distinct outcomes within a sample space is 1.
For example the sample space of the process of flipping a coin is a set with 2 elements. An outcome is a possible result of an experiment. The sample space of an experiment is just a listing of all the possible outcomes results from that experiment.
The sample space of an experiment is the set of all possible outcomes for that experiment. The collection of all possible results of an experiment represented as points. You may have noticed that for each of the experiments above the sum of the probabilities of each outcome is 1.
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