Sample space, events, partition

Every time we carry out a random experiment (an experiment whose result cannot be predicted with certainty) we can list all the possible outcomes: their set is the sample space $\Omega$. An event is a subset of $\Omega$, and to each event we associate a probability between $0$ and $1$. When a group of events covers the whole of $\Omega$ without overlapping, we speak of a partition: one and only one of them occurs.

• Event and sample space
• Partition of the sample space