Rather than a made up brain teaser, a real court case from 1964: http://www.law.berkeley.edu/faculty/sklansky/evidence/evidence/cases/Cases%20for%20TOA/People%20v.%20Collins.htm [Broken] (Spoiler alert: The court record provides an answer to this 'brainteaser', but their answer may or may not be correct - they are judges trained in the legal profession, after all.) If the characteristic individual probability of each item testified to is: A. Partly yellow automobile 1/10 B. Man with mustache 1/4 C. Girl with ponytail 1/10 D. Girl with blond hair 1/3 E. Negro man with beard 1/10 F. Interracial couple in car 1/1000 Never mind the fact that the probabilities were entirely made up by the prosecution with the disclaimer that the jury was free to substitute whatever they felt the probability of each attribute was. If the probabilities listed were accurate, what's the probability that the defendants are innocent? Based on that probability, do you convict them?