Terms Required for Axiomatic Approach of Probability

Introduction:
         Before Axiomatic approach to probability we had two approaches, Statistical approach and Classical approach. Since because of lot of  limitations in these approaches we needed a new one. For this need axiomatic approach of probability was given. The word experiment means an operation which can produce some well-defined outcome(s). There are two types of experiment viz. (i) Deterministic experiments and (ii) Random or Probability experiments.
(i)                     Deterministic experiments:- In axiomatic approach of probability these are those activities/experiments which have a fixed outcome or result no matter any number of times they are repeated. For example, from the set of all triangles in a plane if a triangle is chosen, then even without knowing the three angles, we can definitely say that the sum of the measures of the angles is 180°. In fact, when experiments in science and engineering are repeated under identical conditions, we get the same result every time.
(ii)                    Random Or Probabilistic Experiments:- In axiomatic approach these are those experiment which when repeated under identical conditions, do not produce same outcome every time but the outcome in a trial is one of the several possible outcome. In other words, an experiment whose outcomes cannot be predicted of determined in advance is called a random experiment. For example, in tossing of coin one is not sure if a head or tail will be obtained so it is a random experiment. Similarly, rolling an unbiased die and drawing a card from a will shuffled pack of playing cards are examples of random experiments.