Probability models mathematically describe the outcome of random processes. They consist of two parts:
1) S = Sample Space: This is a set, or list, of all possible outcomes of a random process. An event is a subset of the sample space.
2) A probability for each possible event in the sample space S.
Probability models
Example: Probability Model for a Coin Toss 
S = {Head, Tail}
Probability of heads = 0.5
Probability of tails = 0.5