
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
A student participates in the academic level examination for three subjects: politics, history, and geography. The probabilities of the student achieving an A grade in each of the subjects are $\frac{4}{5}$, $\frac{3}{5}$, and $\frac{2}{5}$, respectively. Assuming the grades for achieving an A in each subject are independent events, let X denote the number of subjects in which the student achieves an A grade. Calculate the probability $P(X=2)$.

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