
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
Given the function $f(x)=3x- \dfrac {4}{x}$, where $x\in(1,4)$, the range of values is the interval $D$. If a function value $f(x_{0})$ is taken at random from the interval $D$, determine the probability that $\dfrac {f(x_{0})}{x_{0}}\geqslant 2$.

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