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

@TheApparition (338)

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

@qwertypunk (119)

• 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

@kris182_2000 (5446)

• Canada

8 Jan 07

50% chance that either box holds the money.
It's hard to decide which one to choose, even if you are given the option to change your choice.
Of course you wouldn't lose anything from this as you never went in with anything in the first place.

1 person likes this

@TheApparition (338)

• India

8 Jan 07

HEhe ...Well it is common assumption that 50% is chance that either box holds the money.But that is the catch in the problem....