We want to find the relation between the concept of a simulation that is used in real life and the concept of a simulation used in mathematics. Let's start by reviewing some definitions that can be found in various dictionaries.
Something that creates the characteristics of a situation in a way that seems real.
The process or act of pretending, imitation.
The process of making something have the characteristics of another thing.
Now let's recall the definition of a simulation that is used in probability modeling.
Simulation
An example of a probability model that can be used to make predictions about real-life situations.
In both situations, a simulation is something that tries to pretend — or simulate — completing a particular scenario. However, in mathematics, a simulation allows us to also evaluate the probabilities of outcomes when chance is involved. This means that the aim of performing a simulation in mathematics is not only to imitate but also to make conclusions.
