The Sample Room in Opportunity

In statistic we denote experiment as any process which arousing data. An experiment can be a coin throwing. The experiment has just two possibilities product: the picture side or the number side. When we note the age of 40 accumulators in table 3.3 on page 49, we has done an experiment. An also calculate the rainfall in Placid lake in July. In this case our attention especially on every observation got by repeat the experiment for more than one times. In most case, the experiment product depend on the opportunely, thus it can’t be predicted certainly. If a chemical scientist does the experiment under the same condition continually, each of the experiment products must be different. This is shown the true existence of the fortune factor on the experiment product. Even if we throw a coin again and again, we cannot make sure whether the coin will give the picture side. But we can know the product possibility of each throwing.

Definition: The set of all experiment product possibility is called sample room and the symbol is S

Each product possibility in the sample room called element or the component of the sample room, or the simple one, sample point. Suppose the element of the sample room is reached, maybe we can data the elements by separated them with coma and cover them with braces. So, sample room S of the throwing coin experiment, can be written as:
S = {G, A} , where G represent as picture side and A as number side.

Example 1: Look at the following experiment: a six-side dice. If we interested with number that appear, the sample room is S={1,2,3,4,5,6} . But if we interested with whether the number that appear is odd or even, so the sample room is S2 = {even, odd}.

The example 1 show the reality that more than one sample room that can be use to describe the product of en experiment. In this case the S1 has more information than S2. If we know which element of S1 which appear, so we can know certainly which the element of S2 will appear. But the information of S1 element appearing is not enough to know which of the S2 element that will be appear. Generally, it is better to have the sample room with more experiment information as the main sample room.
In some experiments, it is really helpful if we elaborate all sample room member systematically through the tree diagram.