Definition:Partition (Probability Theory)

Let $$\left({\Omega, \Sigma, \Pr}\right)$$ be a probability space.

A partition of $$\Omega$$ is a set $$\left\{{B_i: i \in I}\right\}$$ of disjoint events such that $$\bigcup_i B_i = \Omega$$.

Thus it can be seen that the usage of partition here is the same as that used in its standard set-theoretical sense.

However, even though it means the same thing, it can be helpful to define it separately in the more specialised context of probability theory.