# game show problem [duplicate]

Possible Duplicate:
The Monty Hall problem

You are in a game show. You have to choose between three buttons, A, B and C. Pressing one of them will give you £200,000, and pressing either of the other two will give you a free mousemat. You choose a button at random (button A). The gameshow host doesn't tell you if you have won or not, but he does tell you that button B was one of the wrong buttons. He also gives you a chance to change your mind. Should you stick with button A, or switch to button C? Why? Or does it make no difference?

Can any one suggest what should be the possible answer for this. Does it really make any difference If I change my mind? So what are the possibilities here?

• See math.stackexchange.com/questions/96826/the-monty-hall-problem. Although I'm torn between a mousemat and a donkey. – talmid Jun 21 '12 at 21:36
• Look up the "Monty Hall problem". Your description is not specific enough to give an answer: does the host always offer you a choice to change your mind? Does the host know where the money is and always reveal an unchosen button as incorrect? Etc. This site alone offers several questions featuring this problem: here, here, here. See also Wikipedia. – Arturo Magidin Jun 21 '12 at 21:36