
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
Twelve tiles numbered from $1$ to $12$ are turned face down. One tile is turned up at random, and a 12-sided die is rolled. What is the probability that the product of the numbers on the tile and the die is a square?
A) $\frac{1}{12}$
B) $\frac{1}{9}$
C) $\frac{7}{36}$
D) $\frac{1}{4}$
E) $\frac{1}{3}$

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