This is Chance strategy and choice problem 19.1

19.1 (The Prisoner's Paradox) Three prisoners (X, Y, and Z) are serving life sentences. The judge has declared that two of the three will receive the death penalty and has revealed the identities of the doomed prisoners to the warden. Prisoner X has 294 Special Topics become friends with the warden and asks him a favor. Prisoner X knows that the warden will not reveal whether or not he (X) has been sentenced to death, so he asks the warden to reveal the identity of one of the two prisoners who has been so sentenced. The warden agrees and tells him that Prisoner Y has been sentenced to death. Prisoner X then responds happily, "The remaining death sentence is either for me or for Prisoner Z. My chances of living have improved to 50-50!" Do you agree with Prisoner X? How does this paradox compare with the Monte Hall