
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
Fifty slips are placed into a hat, each bearing a number from 1 to 12, with each number appearing on five slips. Five slips are drawn at random 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 $b$ where $b \ne a$. What is the value of $q'/p'$?

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