
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 cards are placed in a box, each card numbered from 1 to 10, with each number appearing on five cards. Five cards are drawn at random and without replacement. Let $p$ be the probability that all five cards have the same number. Let $q$ be the probability that four cards have number $a$ and the fifth card bears a number $b$ that is not equal to $a$. What is the value of $q/p$?

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