﻿ Three Bag Logic Puzzle

Three Bag Logic Puzzle

There are three children. These children need rewarding for good behavior. I have six gifts.

• I have three chocolate bars.

• I have three giant lollypops.

Each child is going to receive two presents and, so they don’t know who is getting what, I put each pair of presents inside a brown paper bag and seal them. Only I know the distribution of the treats, but all the children know there are three of each treat and two treats in each bag.

The first child collects her bag and looks inside to see what presents she received. A curious neutral third party asks this first child a question to determine the breakdown of presents in her bag. The catch is that the child can only respond with the answers: “Yes”, “No” (or “I don’t know”). The child is a perfect logician, and always answers truthfully. What question can the outsider ask to determine the contents of the first gift bag?

What question can you ask the first child to determine the breakdown of presents in her bag?

For the purposes of this exercise, we can assume the chocolate bar and the lollypop have the same mass; This is meant to be a purely logic puzzle and does not rely on physical differences between the bags. There is no trick, gotcha, or tomfoolery in the answer.

Remember, the child can only answer your question with, “Yes”, “No”, or “I don’t know”.

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