
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
The continuous random variable \( X \) is defined by the probability density function \( f(x) = \frac{3}{2} \sin 3x \) in the interval \( (0, \frac{\pi}{3}) \); outside this interval, \( f(x) = 0 \). Find the probability that \( X \) takes a value in the interval \( (\frac{\pi}{6}, \frac{\pi}{4}) \).

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