# Who wants to be millionaire....??

India
January 8, 2007 5:58am CST
Here is the puzzle... Imagine I place 3 boxes in front of you-labeled A, B and C; two of them are empty and one of them has a cheque of 1 million dollars.I say "Pick one of the boxes and try ur luck". SO how do you go about it? You know that there is a one in three chance of choosing the box with the money .So,you confidently say" I choose Box A". But I say"Before I reveal what BOX A has, let me show you something" I open the BOX C and reveal its contents and you see BOX C is empty. So this means that either BOX A or BOX B contains the big bucks. You have chosen BOX A. I ask you: "..DO YOU WISH TO STICK WITH YOUR CHOICE, or DO YOU WANT TO CHANGE TO BOX B?" Hmm..... So what would you do???Most Importantly why?Elaborate Hint:I think ..This is a classic example in learning Conditional Probability?
3 responses
@WebGal (48)
• United States
8 Jan 07
The smart move is for me to switch from box A to box B. Odds are 2/3 that the check is in B. Consider three possibilities: Check is in box A. I choose box A. You show me 'C'. I switch to B. I lose. Check is in box B. I choose box A. You show me 'C'. I switch to B. I win. Check is in box C. I choose box A. You show me 'B'. I switch to C. I win. Note that I win 2 out of three times by switching.
1 person likes this
• India
9 Jan 07
• Nepal
8 Jan 07
i'd stick to my answer coz there'z no other way i can figure out which box has the treasure..... and i trust my instinct when i have no choice
1 person likes this
• India
8 Jan 07
Thanks for your response.See the previous post and the hint .