
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
On April 15, 2022, the seventh National Security Education Day was held. A national security knowledge competition was held for the seventh and eighth grades of a school. After evaluation, two students from the seventh grade (denoted as $A$ and $B$) and two students from the eighth grade (denoted as $C$ and $D$) received outstanding awards.<br/>$(1)$ The probability of randomly selecting a student from those who received outstanding awards and sharing their experience, and exactly selecting a seventh-grade student is ______.<br/>$(2)$ From the students who received outstanding awards, if two students are randomly selected to share their experience, please use a list or tree diagram to find the probability that exactly one student is from the seventh grade and one student is from the eighth grade.

Present the answer in LaTex format: \boxed{Your answer}
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