At a hospital's emergency room, patients are classified and 20% of them are critical, 30% are serious, and 50% are stable. Of the critical ones, 30% die; of the serious, 10% die; and of the stable, 1% die. Given that a patient dies, what is the conditional probability that the patient was classified as critical?
Wouldn't it be P(Crit.| Die) = (.2 x .3 / .3) ? I don't know what i'm doing wrong. The answer is 0.632