QMS 102 Lecture Notes - Lecture 7: Decision Tree Learning, Empirical Probability, Almost Surely
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Probability the chance that an uncertain event will occur (always between 0 and 1) Impossible event an event that has no chance of occurring (probability = 0) Certain event an event that is sure to occur (probability = 1) A random experiment is an action or process that leads to one of several possible outcomes. This list must be exhaustive, i. e. all possible outcomes must be included: die roll (1, 2, 3, 4, 5) = xx die roll (1, 2, 3, 4, 5, 6) = correct. A sample space of a random experiment is a list of all exhaustive and mutually exclusive outcomes, say, a list of o1, o2, , on, then we can represent the sample space as: S = {o1, o2, , on} i. e. rolling a die, the sample space s = {1, 2, 3, 4, 5, 6} An individual outcome of a sample space is called a simple event.