Question

What is a random event in probability?

Answer 1

We can find the probability of a random event in the following way i.e. $P\left( X \right)=\dfrac{n}{N}$, where $P\left( X \right)$ represents the probability of random experiment, $n$ is number of favourable outcomes and $N$ is the number of total number of possible outcomes.

Complete step by step solution:
Now let us have a brief about probability and its types. Probability can be defined as a chance of a particular event to occur from a set of events. The range of probability is between $0$ and $1$. There are three types of probability. They are: theoretical probability, experimental probability and axiomatic probability. We can define an event as something that takes place.
A random event is nothing but the event that cannot be made exact or whose outcome cannot be predicted. A random experiment when repeated in the same number of times, can still result in different outcomes. The set of all these outcomes is considered. Before performing the experiment, we cannot predict the outcome.
Let us consider some of the examples of random events.
Getting a head when a coin is tossed
Getting $1$ on a dice, when it is rolled
The above mentioned are the events with single outcomes.
There also exist events with a set of outcomes. They are:
Choosing a king from the deck of cards, a deck of cards contains four kings.
Rolling an even number is an event.

Note: These events can be independent, dependent and mutually exclusive. Independent events are those which do not get affected by other events. Dependants are also called conditional, where an event gets affected by the other. Mutually exclusive are those that cannot happen at the same time.