 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2015/discrete-mathematics-continuous-mathematics-and-probability-resit/7/a/i/solution

A, B

with

P (B) > 0

P (A ∣ B) = \frac{P ( A \cap B )}{P ( B )} .

This renormalizes the probability of

A

within

B

. The elementary ratio definition does not assign a value when

P (B) = 0

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