Among Us Bayes' Theorem

^ Interpretations Number of occurrences Being suspicious B Not being suspicious B̄ sum An assassin A 3 1 4 Not an assassin Ā 2 6 8 sum 5 7 12 P(A, given B) · P(B) = P(A|B) · P(B) 3/(3+2) · (3+2)/(3+1+2+6) = (3)/(3+1+2+6) · (3+1+2+6)/(3+1+2+6) P(B, given A) · P(A) = P(B|A) · P(A) 3/(3+1) · (3+1)/(3+1+2+6) = (3)/(3+1+2+6) · (3+1+2+6)/(3+1+2+6) P(A|B) · P(B) = P(B|A) · P(A) ∴ P(A|B) = P(B|A) · P(A)/P(B) Figure 2: A geometric visualisation of Bayes' theorem that uses the gameplay of the video game Among Us.

The image presents Bayes’ theorem using a table of assassins and suspicious players from Among Us, with colored crewmate icons and probability calculations. The joke is the absurdly academic treatment of identifying an assassin as a formal probability exercise, making the game’s simple deduction mechanics look like advanced mathematics.

• @ithueti / 9647 2023-06-22