
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
A magician has a hat containing 4 red chips and 3 green chips. Chips are drawn randomly, one at a time without replacement, until all 4 red chips are drawn or until all 3 green chips are drawn. What is the probability that all 4 red chips are drawn?
A) $\dfrac{3}{7}$
B) $\dfrac{4}{7}$
C) $\dfrac{1}{2}$
D) $\dfrac{2}{5}$ 
E) $\dfrac{5}{7}$

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