You have three baskets (which you must blindly choose from), one labled 'oranges' one labeled 'apples' and one labeled 'apples & oranges' and you know that all the labels are incorrect. The question is how many items and from which baskets must you choose to properly lable all three baskets?

Answer: You only need to reach into one box - the one labeled "apples & oranges". It is mis-labeled, so it is either apples or oranges - whichever fruit you pull out is what it is. Let's assume it's an apple. Then the box labeled "oranges" (which can't contain oranges since it's mis-labeled, and can't contain apples since we've already determined that apples are in the box labeled "apples & oranges") must contain apples and oranges. The third box, which is labeled "apples", by elimination must contain oranges. This works conversely as well. If the fruit inside the box labeled "apples & oranges" is an orange, then the fruit in the box labeled "apples" must be mixed, and the fruit inside the box labeled "oranges" must be apples.

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A kid walkes up to a old man in a fair. "I bet you that I can write your exact weight on a peace of paper. If I can, you have to pay me $50.00, and if I can not I have to pay you $50.00." The kid thought this was fair enough and besides, whatever the man said was his weight he would just say "too high" or "too low." The kid took the bet. later, the kid ended up having to pay $50.00 to the old man. How is this possible?

Answer: On the piece of paper the man wrote, "your exact weight"

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