
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
Two points on the outermost circle (radius 4) are chosen at random. What is the probability that the chord joining these two points intersects the second circle (radius 3), but not the innermost circle (radius 2)?

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