Compare and contrast the difference between experimental probability and theoretical probability.

Theoretical probability is determined by the sample space of an object.  For example, the probability of rolling a 3 using a fair die is 1/6.  This is because the number 3 represents one possible outcome out of the 6 possible outcomes of rolling a fair die.  Based off of theoretical probability we can expect to land on a number 3 one out of every six rolls...however we are not guaranteed that this will occur.  This is where experimental probability comes in.  Experimental probability is determined by the actual results of an experiment.  If a fair die is rolled 6 times and 3 is rolled 2 out of the 6 times, the experimental probability of landing on the number 3 is 2/6 or 1/3.  Experimental probability is subject to change because the results of an experiment may change.  Theoretical probability is NOT subject to change.