 They believed the question asked for the chance of the car behind door 2 "given" the player's initial pick for door 1 and the opened door 3, and they showed this chance was anything between and 1 depending on the host's decision process given the choice.Only when the decision is completely randomized is the chance .In an invited comment and in subsequent letters to the editor, (; ; Bell, 1992; Hogbin and Nijdam, 2010) Morgan et al.