 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2003/calculus-probability-linear-algebra-discrete-mathematics-logic-and-proof-and-models-of-computation/5/a/i/solution

A, B

with

P (B) > 0

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

A

after restricting the sample space to

B

and renormalizing. This quotient does not define conditional probability given an event of zero probability.

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