
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 sets $A=\\left\\{ x\\left| 2{{x}^{2}}-x-3 < 0 \\right. \\right\\}$ and $B=\\left\\{ x\\left| y=\\lg \\tfrac{1-x}{x+3} \\right. \\right\\}$, find the probability that a real number $x$ chosen randomly from the interval $(-3,3)$ belongs to $(A\\bigcap B)$.

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