Types of events

Types of events in probability and statistics:
There are various types of events in probability and statistics:

1. Simple event: If the event consists of less than 2 elements from the sample space then it is called a simple event or elementary event.

If sample space is S = 2, 3, 4, 5, 6.
And if event is E = 3, then it is a simple or elementary event.

1. Compound event: It comes under the types of events in probability and statistics as if the event consists of more than one element or sample points from the sample space then it is called a compound event.

If sample space of throwing a dice is, S = 1, 2, 3, 4, 5, 6.
And if event is, E = 1, 3, 5, then it is known as a compound event.

1. Sure event or certain event: It comes under the types of events in probability and statistics (for more visit this)as if the sample space is, S = 1, 2, 3, 4, 5, 6 and the event is also same as that of sample space, i.e., E= 1, 2, 3, 4, 5, 6 which is also the subset of S and it occurs whenever an experiment is performed. Therefore, the event E is called as a sure event or certain event.

1. Mutually exclusive events: It comes under the types of events in probability and statistics as  if we consider a random experiment of throwing a dice and sample space is, S=1, 2, 3, 4, 5, 6. Two events associated with the above experiment are called mutually exclusive if both the events cannot occur at the same time or in the same trial. Like A=1, 3, 5 and B=2, 4, 6 are mutually exclusive events. If the events are A = 1, 2, 4 and B= 2, 5, 6 are not mutually exclusive as 2 is favorable to both the events.

1. Exhaustive Events: It comes under the types of events in probability and statistics for any random experiment, S, E1, E2, E3,….En are the events which are the subsets of S.

E1, E2, E3,…..En are consider as exhaustive events if the union of all of them is equal to S, i.e.,
E1 U E2 U E3 U ….U En = S
The above equation also proves true if the set of events E1, E2,…En are mutually exclusive and exhaustive events.

1. Null event: This event is always added in the sample space as a sample point called φ(fi).  This event is the subset of S and is called as null event or impossible event.

In upcoming posts we will discuss about Permutations and combinations and Intersection of a plane with 3-d figures. Visit our website for information on Measures of Central Tendency