
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 $5$ shiny pennies and $6$ dull pennies. One by one, pennies are drawn randomly from the box without replacement. If the probability is $a/b$ that it will take more than five draws until the fourth shiny penny appears, with $a/b$ in lowest terms, find the value of $a+b$.
A) 14  
B) 16  
C) 18  
D) 21  
E) 23

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