 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2017/discrete-mathematics-continuous-mathematics-and-probability/8/a/i/solution

A partition of a set consists of nonempty subsets that are pairwise disjoint and whose union is the whole set. Here

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

Thus every outcome belongs to exactly one cell. The probability calculation additionally requires the cells to be measurable events.

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