
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
Each integer $1$ through $12$ is written on a separate slip of paper and all twelve slips are put into a hat. Alice picks one of these slips at random and puts it back. Then Bob picks a slip at random. What is the probability that the units digit of the sum of Alice's integer and Bob's integer is $3$?
A) $\frac{1}{18}$
B) $\frac{1}{15}$
C) $\frac{1}{12}$
D) $\frac{1}{9}$
E) $\frac{1}{6}$

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