What are the formulas for Theoretical probability and experimental probability? What are the similarities and differences?

Question

anonymous · Answer

Empirical Probability of an event is an "estimate" that the event will happen based on how often the event occurs after collecting data or running an experiment (in a large number of trials).  It is based specifically on direct observations or experiences. 
     Theoretical Probability of an event is the number of ways that the event can occur, divided by the total number of outcomes.  It is finding the probability of events that come from a sample space of known equally likely outcomes.

Theoretical Probability Formula

P(E)=n$$P(E)=n(E)/n(S) =# of outcome \in E/ total #of outcome \in S$$

Empirical Probability Formula
P(E)=# of times event E occurs / total # of observed occurences