Event is the subset of the sample space or event can also be defined as the collection of either one or more than one outcomes of an experiment. It is sum of all possible outcomes of an experiment. Sample space forms after combining all the events. Any part of the sample space can be named as an event. Event may be of one outcome or a combination of more than one outcome.
Event with a single outcome is named as simple event and an event with having two or more than two outcomes is known as compound event.
Simple Events:
Simple events can be defined as the single outcome of the performed experiment or it is an event which cannot be broken down any more.
Compound Events:
Compound events is the combination of two or more than two simple event. It can also be defined as an event that contains more than one sample points in it.
Event Examples
- If a single face is considered when a die is rolled, then it will be simple event. For example suppose getting 5 or 6 or 3 or 2 etc… on the die when it is thrown, is called as simple event. If the event is any even number on the die, then the event is consist of points {2, 4, 6}, which is known as compound event. That compound event is consisting of three simple events i.e., {2}, {4} and {6}.
- Suppose two dice are rolled simultaneously, then the pair (1, 1) will be the simple event. This is so, because it is a single outcome in the sample space. If event consists of the sum of two dice is ‘’5’’ than it consists of four outcomes i.e., (1, 4), (2, 3), (3, 2), (4, 1) and this is considered to be a compound event.
- Suppose two coins are tossed simultaneously, then the pair (HT) will be the simple event. If condition is defined that an event should consist of at least one head then there are three outcomes. These outcomes are (HH), (HT) and (TH) and this is said to be as compound event. That compound event consists of three simple events i.e., {HH}, {HT} and {TH}.
