you are the contestant on a gameshow. the host wheels out 3x doors: behind two of the doors lies a cuddly toy each and behind the third door a brand-new aston martin dbs. you have to pick a door to be opened last, and it is what lies behind this door that will be your prize. you pick door number 1. the host, knowing what is behind each door, asks for a drumroll and opens door 3; you see a cuddly toy! so far, so good. he then gives you the opportunity to swap your door from door 1 to door 2; should you take the swap??! is he playing games with you, bluffing, double bluffing, even triple bluffing you? what should you do to maximise your chances of winning the aston? please explain your reasoning!