
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
Sixty slips are placed into a hat, each bearing a number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, with each number entered on five slips. Five slips are drawn from the hat at random and without replacement. Let $p$ be the probability that all five slips bear the same number. Let $q$ be the probability that three of the slips bear a number $a$ and the other two bear a number $b\ne a$. What is the value of $q/p$?

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