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Three bags each hold 2 golf balls- one bag contains two white golf balls, another two yellow golf balls and the last one white ball and one yellow ball. Each bag is labeled to show its contents; however each bag is labeled incorrectly. By removing only one ball from any one of the three bags to determine the contents of each bag so that they can be labeled correctly. Which bag should be selected to achieve this?

To determine which bag to select in order to label each bag correctly, consider the following logic:

1. Each bag is labeled incorrectly.
2. This means the label on each bag does not match its contents.

The bags are labeled as follows:
- Bag 1: Yellow Yellow
- Bag 2: White White
- Bag 3: Yellow White

Let's start by picking a ball from the bag labeled "Yellow White" (Bag 3). 

- **If you pick a white ball from Bag 3**, then this bag must contain two white balls because it was labeled incorrectly. Therefore, Bag 3 is actually "White White".

- **If you pick a yellow ball from Bag 3**, then this bag must contain two yellow balls because it was labeled incorrectly. Therefore, Bag 3 is actually "Yellow Yellow".

Once you determine the actual contents of Bag 3, you can then correctly label the other two bags based on the process of elimination.

### Detailed Steps:
1. Pick a ball from Bag 3 (labeled "Yellow White").
   - If the ball is white, Bag 3 is "White White".
   - If the ball is yellow, Bag 3 is "Yellow Yellow".

2. After identifying Bag 3, you can determine the contents of the other two bags:
   - If Bag 3 is "White White", then Bag 1 (labeled "Yellow Yellow") cannot be "Yellow Yellow" and must be "Yellow White".
   - If Bag 3 is "Yellow Yellow", then Bag 2 (labeled "White White") cannot be "White White" and must be "Yellow White".

3. The remaining bag will be the one not yet identified.

By picking a ball from Bag 3 (the one labeled "Yellow White"), you can identify the contents of all three bags correctly.

Would you like any more details or have any questions? Here are five more questions you might find interesting:

1. How can you solve probability problems involving multiple events?
2. What are the properties of different types of triangles?
3. How do you calculate the derivative of a function?
4. What are the key principles of linear algebra?
5. How can you solve a system of linear equations?

**Tip:** When solving logic puzzles, always remember to check and cross-check the given information and think through the implications of each possible scenario.

Learn how to solve a logic puzzle involving incorrectly labeled golf ball bags. Understand the principles of logic and probability used to determine the correct contents of each bag. Suitable for students in Grades 7-9.

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