MathDB
BMT 2015 Spring - Individual 19

Source:

January 22, 2022
combinatorics

Problem Statement

It is known that 44 people A,B,CA, B, C, and DD each have a 1/31/3 probability of telling the truth. Suppose that \bullet AA makes a statement. \bullet BB makes a statement about the truthfulness of AA’s statement. \bullet CC makes a statement about the truthfulness of BB’s statement. \bullet DD says that CC says that BB says that AA was telling the truth. What is the probability that AA was actually telling the truth?