Consider the set of northwestern states or provinces

{Montana, Washington, Idaho, Oregon, Alaska, British
Columbia, Alberta}. If a person chooses one element,
show that in three yes or no questions, we can determine
the element.

My three questions
Is there Salmon, Halibut, and Shark fishing in this state?
Is this state cold all year round?
Did the governor ran for vice presidency?

I have to draw a tree diagram to organize this. I do not know how to do it.

Check these sites for examples of tree diagrams.

http://www.google.com/search?source=ig&hl=en&rlz=1G1GGLQ_ENUS338&q=tree+diagram&aq=f&oq=&aqi=

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To draw a tree diagram to organize the questions and potential answers, you can follow these steps:

1. Start by writing the first question at the top of the diagram: "Is there Salmon, Halibut, and Shark fishing in this state?"

2. From the first question, draw three branches representing the three possible answers: Yes, No, and Unsure.

3. Under the "Yes" branch, write the second question: "Is this state cold all year round?"

4. Again, draw three branches originating from the "Yes" branch, representing the three possible answers: Yes, No, and Unsure.

5. Under the "No" branch from the first question, write the third question: "Did the governor run for vice presidency?"

6. Once again, draw three branches representing the three possible answers: Yes, No, and Unsure.

7. Repeat steps 3-6 for the "No" and "Unsure" branches from the first question.

8. Finally, beneath each combination of answers from the previous questions, write the corresponding element from the set.

By following these steps, you will create a tree diagram that organizes the questions and answers, helping you determine the possible elements in the set based on the responses.

Here's an example of how the tree diagram might look:

Q1: Salmon, Halibut, and Shark fishing?
/ | \
Yes No Unsure
/ | \ / | \ \
Q2: Cold? Yes No Q3: Governor? Yes No (No possible elements)
| | | | | | \
MT ID,OR,AK,B.C AB WA MT,ID,OR,AK,B.C AB

In this example, "MT" represents Montana, "ID, OR, AK, B.C" represents a combination of Idaho, Oregon, Alaska, and British Columbia, and "AB" represents Alberta. By going through the questions and tracing the branches, we can determine the specific element based on the answers given.