What are Events?

An event is described as a set of outcomes. For example, getting a tail in a coin toss is an event and all the even-numbered outcomes while rolling a die also constitute an event. 

An event is a subset of the sample space.

Consider an experiment of throwing a die. Let’s say that event E is defined as getting an even number. So, if a number 4 comes up, it is said that event E has occurred. 

So, an event E of a sample space S is said to have occurred if the outcome w of the experiment is such that w ∈ E. When an outcome is such that it does not belong to the set E. It is said to have not occurred. 

Types of Events in Probability

Whenever an experiment is performed whose outcomes cannot be predicted with certainty, it is called a random experiment. In such cases, we can only measure which of the events is more likely or less likely to happen. This likelihood of events is measured in terms of probability and events refer to the possible outcomes of an experiment. Also, events can be classified into various different types based on different properties and probability values of events. 

In this article, we’ll explore the various types of events in probability, including simple events, compound events, mutually exclusive events, independent events, and dependent events. So, let’s dive into the world of different types of events.

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What are Events?

An event is described as a set of outcomes. For example, getting a tail in a coin toss is an event and all the even-numbered outcomes while rolling a die also constitute an event....

Type of Events

It is now clear that events are subsets of sample space. It is essential to understand the difference between different types of events that can happen while performing random experiments. This understanding of events helps us in calculating the probabilities for both simple and complex random experiments. We know that events are basically set, so they can be classified on the basis of the elements they have. The following list gives the different types of events:...

Algebra of Events

Two or more sets can be combined using four different operations, union, intersection, difference, and compliment. Since events are nothing but subsets of sample space, which means they are also set by themselves. In the same manner, two or more events can be combined using these operations. Let’s consider three events A, B, and C defined over the sample space S....

Sample Problems on Types of Events

Problems 1: Consider the experiment of tossing a fair coin 3 times, Event A is defined as getting all tails. What kind of event is this?...

FAQs on Types of Events in Probability

What is an Event in Probability?...

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