Define: (i) experiment (ii) deterministic experiment (iii) random experiment

(iv) sample space (v) event (vi) trial

(i) Experiment

In probability an experiment is defined as the procedure which can be repeated infinite times and have a well-defined set of any number of possible outcomes.

(ii) Deterministic Experiment

A deterministic experiment is the subset of Experiments in which there is only one possible outcome. i.e., we know before the experiment what will be the result as there is only one possibility.

(iii) Random Experiment

A random experiment is the subset of experiments in which there are two or more outcomes. i.e., it can never pe predicted with 100% surety as it always has more than one possible outcomes, it can also be said as the opposite of Deterministic Experiment.

(iv) Sample Space

Sample Space is the set of all possible outcomes of that experiment. We can also say that the sum of probability of all the events in a sample space is always 1, as it consists of every possibility of any experiment.

(v) Event

An event is the set of outcomes of an experiment which are assigned different probabilities based on possibility of each event. An event is the subset of Sample Space and sum of probabilities of all event of an experiment is 1.

(vi) Trial

A trial can be defined as the number of steps we are taking to complete an experiment.

Consider a die which is rolled four times and we are supposed to find the probability of getting six in all four attempts then this complete experiment requires four steps of rolling dice and the number 4 is known as the no. of trial of this experiment.