
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 $G(x)$ be the derivative of the function $y=2\cos x+3$. The probability that $G(a) < 1$ for a randomly chosen value of $a$ in the interval $[- \frac {π}{3},π]$ is $\_\_\_\_\_\_$.

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