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You have three boxes.
Each box is labeled incorrectly. You are allowed to open just one box and pull out one piece of fruit. How can you determine the correct labels for all three boxes using just one try?
To solve this puzzle, you can follow these steps:
1. Choose the box labeled “Apples and Oranges.”
2. Since all the boxes are labeled incorrectly, you know that this box cannot contain a mix of both. So, it must contain either only apples or only oranges.
3. Now, let’s consider the other two boxes. The box labeled “Oranges” must contain either the mix or just apples, and the box labeled “Apples” must contain either the mix or just oranges.
4. Based on the contents of the box you opened, you can now correctly label all three boxes.
For example, if the box you opened contains only apples, then the correct labeling would be:
– “Apples and Oranges” for the box that you opened (since it contains only apples)
– “Oranges” for the box labeled “Apples” (since it can’t contain just apples)
– “Apples” for the box labeled “Oranges” (since it can’t contain just oranges)