
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
Fifteen tiles numbered from 1 to 15 are mixed and laid face down. A special cube numbered 1 through 6 is rolled. What is the probability that the product of the numbers on the selected tile and the cube will be a perfect square?
A) $\frac{2}{15}$
B) $\frac{1}{6}$
C) $\frac{1}{9}$
D) $\frac{1}{12}$
E) $\frac{11}{90}$

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