There is a difference between statistical probability and
theoretical probability.
The theoretical probability of rolling a die and getting a 3
is 1/6 = .167
Suppose
you perform an experiment rolling a die ten times. (A
sampling of ten
rolls). Eight out of the ten times you roll a three, so you
find that
the statistical probability of rolling a three based on this
experiment
is 8/10 = .8
This is very different from the theorized
probability. What are the issues here if any? Think about
sample size
and the law of large numbers. Think about other
possibilities. Suppose
you use a larger sample and the results are the same?












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