 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-oxford/2017/prelims/mathematics-iii/5/a/i/solution

Ω

is a collection of nonempty subsets whose union is

Ω

and which are pairwise disjoint:

⋃_{i \in I} B_{i} = Ω, B_{i} \cap B_{j} = \emptyset (i \neq = j) .

For use with probabilities, the

B_{i}

must also be events in the sample space.

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