Can computers "think"? According to the Turing test, a computer can be considered to think if, when a person communicates with it, the person believes he or she is communicating with another person instead of a computer. In an experiment at Boston's Computer Museum, each of 10 judges communicated with 4 computers and 4 people and was asked to distinguish between them.
a. Assume that the first judge cannot distinguish between the 4 computers and the 4 people. If this judge makes random guesses, what is the probability of correctly identifying the 4 computers and the 4 people?
b. Assume that all 10 judges cannot distinguish between computers and people, so they make random guesses. Based on the result from part (a), what is the probability that all 10 judges make all correct guesses? (That event would lead us to conclude that computers cannot "think" when, according to the Turing criterion, they can.)