
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 box contains $4$ shiny pennies and $3$ dull pennies. One by one, pennies are drawn at random from the box and not replaced. Determine the probability, in simplest form $a/b$, that more than three draws are required to select the second shiny penny. Calculate the sum $a+b$.
A) 11
B) 38
C) 53
D) 49
E) 84

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