
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
In a group of 21 students, there are 5 excellent students, 10 good students, and 6 poorly performing students. In the upcoming exam, excellent students can only receive excellent grades. Good students can receive either good or excellent grades with equal probability. Poorly performing students can receive good, satisfactory, or unsatisfactory grades with equal probability. A student is randomly selected to take the exam. Find the probability that the student will receive a good or excellent grade (event \( A \)).

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