
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
Let the function $f(x)=x^{2}-5x+6$, where $x\in[0,5]$. If a real number $x_{0}$ is randomly selected from the interval $[0,5]$, calculate the probability that the selected real number $x_{0}$ satisfies $f(x_{0})\leqslant 0$.

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