The concept of a **sample space** is fundamental to probability theory. It is the set of all possibilities (or possible outcomes) of some uncertain process.

For example, the sample space of the process of flipping a coin is a set with 2 elements. Each represents one of the two possible outcomes: “heads” and “tails”. The sample space of rolling a die is a set with 6 elements and each represents one of the six sides of the die. And so on. Other terms you may come across are **event space** and **possibility space**.

Before getting to the details of sample spaces, I first want to properly define the concept of probabilities. [Read more…]