
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
Thirty cards are placed into a box, each bearing a number 1, 2, 3, 4, 5 or 6, with each number entered on five cards. Four cards are drawn from the box at random and without replacement. Let $p$ be the probability that all four cards bear the same number. Let $q$ be the probability that two of the cards bear a number $a$, another two bear a number $b$ (with $b \ne a$). What is the value of $q/p$?

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