Aggarwal:
"The difference between probability and statistics is that between modeling the likelihood
of future events and analyzing the frequency of past events. For example, if one throws a
fair die, probability theory asserts that the chance of a particular face appearing is one out
of six. However, if the die is actually thrown a number of times, the precise fraction will
be different from the expected value of one out of six because of the natural variability
associated with actual outcomes. In other words, the sample outcomes from a probabilistic
model are only approximations of the probabilistically expected outcomes. Probability theory
is useful for modeling expected outcomes, whereas statistics is useful for analyzing sample
outcomes."
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