Event and its Types

Introduction on Eevent:

        

        In Probability, an event is the outcome or a combination of outcomes of an experiment. In other words, an event is a subset of the sample space. The event in the math represents the probability event for the math. 

Eg:

• {a head} in the experiment of tossing a coin is an event.

• {a sum equal to 6} in the experiment of throwing a pair of dice is an event.

Types of Events:

Lets go through the different types of events below with simple explanation:

S= {1,2,3,4,5,6}]
If the event is set of elements less than 2, then E = {1} is a simple event

1) Simple Event: If an event has one element of the sample space then it is called a simple or elementary event.

2) Compound Event: If an event has more than one sample points, the event is called a compound event .

3) Null Event (f): As null set is a subset of S, it is also an event called the null event or impossible event.
4) Sure event or certain event: The sample space S= {1, 2, 3, 4, 5, 6} in the above experiment is a subset of S. The event represented by S occurs whenever the experiment is performed. Therefore, the event represented by S is called a sure event or certain event.

5) Complement of an Event: The complement of an event E with respect to S is the set of all the elements of S which are not in E. The complement of E is denoted by E' or E^C.
        Hope you liked the above explanation on Event. Please leave your comments, if you have any doubts.