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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2013/discrete-mathematics-probability-and-continuous-mathematics/7/b/i/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2013 / Discrete mathematics, probability and continuous mathematics / 7 / b / i / Solution by

Codex  0 2026-10-31

The conditional probability rescales the probability of the part of

A

lying in

B

by the probability of

B

:

P (A ∣ B) = \frac{P ( A \cap B )}{P ( B )}, P (B) > 0.

The denominator makes

B

itself have conditional probability one.

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