## 2.1 Sample Spaces, Outcomes, and Events     continued...

The experiment consists of one roll of a normal die (with faces labeled 1, 2, 3, 4, 5, and 6) and observing the top face of the die. The outcomes are the six faces, and the sample space S consists of these six outcomes, since every realization of the experiment (i.e., each trial) results in one of these faces being the top face. (We will assume that the die will not balance on an edge or corner.) Events can then be defined in terms of the possible outcomes. Possible events that may be defined in terms of the six unique outcomes are:

• : top face is an even number
• : top face is larger than 4
• : top face is equal to 2 (hence the event is one of the outcomes)

Disjoint events are events that cannot happen at the same time. In the above example, events and are disjoint, because a single roll of the die (as the experiment was defined) cannot lead to both events occurring. On the other hand, events and can occur at the same time, as can events and .