ABSTRACT
The stochastic nature of a set of events can be described by specifying the probabilities of each event occurring. Leonhard Euler a Swiss mathematician and physicist who lived in the middle of the 18th century, discovered the relationship between the number of sides, edges, and corners of a polyhedron. A completely certain event, which has a probability equal to one, has a randomness equal to zero; that is, this event is not random at all. An event with a very small probability of occurring has a large randomness; that is, such an event is very random. The paradox is that an event with zero probability of occurring has an infinite randomness. The randomnesses of discrete events or random variables are based on easy, understandable concepts. The concept of a randomnesses of continuous random variables is an extension of the concept of the discrete randomnesses.
