
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
Two cubic dice each have numbers $1$ through $6$. All twelve numbers are removed, mixed in a bag, and then drawn one at a time to be randomly attached to each face of the two dice. The dice are rolled, and the numbers on the two top faces are added together. What is the probability that their sum is $9$?
A) $\frac{1}{12}$
B) $\frac{1}{9}$
C) $\frac{2}{9}$
D) $\frac{1}{6}$
E) $\frac{1}{4}$

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