-=Dark_Angel=-, P.I.11 Jul 2004

A gameshow host presents you with a choice of 3 doors: A, B and C. Behind one of the doors is a prize. Behind the other two doors is nothing. You pick door C, but don't open it. The host, who is standing behind the doors and can therefore see what they contain, then says he will reveal an empty door from the two you did not choose. He opens door B and you see that it is empty. You are now offered the choice of sticking with door C, or switching to door A. Should you:
(i) Switch?
(ii) Stick?
(iii)Or doesn't it matter? [5 marks]