
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 probability density of a random variable $X$ is given by the function

$$
p(x)= \begin{cases}0 & \text{if } x \leq 0 \\ x / 2 & \text{if } 0 < x \leq 2 \\ 0 & \text{if } x > 2\end{cases}
$$

Find the probability that the variable $X$ will take a value from the interval $(1,2)$.

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