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Not quite. The listing must also be exhaustive: it must contain all possible outcomes.

For the roll of a fair cubic die, consider the following:

Prob(1) = 1/6

Prob(2) = 1/6


This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.


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9y ago
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6y ago

Yes, but only for a discrete variable with a finite number of possible outcomes.

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Q: Can a probability distribution be a mutually exclusive listing of the outcomes of an experiment which can occur by chance and the corresponding probabilities of occurrance?
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