Iam in a game show.
in this game show there are 3 doors. behind one of these doors lies a brand new and spectacular ferrari, however, behind two of these doors lie nothing.
these doors are represented by the letters a, b and c respectively.
the host of this game show gives me the opportunity to win a ferrari, and tells me that if i open the door which has this ferrari sitting behind it, i will get to keep it. the problem is, i will only get to open one door. if it turns out to have nothing behind it, i will go home empty handed.
so, the game show host asks me which door i'd like to open. i select the door b.
before the host opens the door b for me, he opens up the door c and shows me that nothing lies behind it.
this means that the ferrari is either behind door a or door b.
now, the host asks me if i'd like to open door a instead of door b. he gives me the chance to open door a. should i open door a or should i open door b?
would my chances of winning a ferrari increase if i were to open door a instead of door b?
explain your answer and justify why you are