Stats help 1

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?