
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 tetrahedral dice each have removable numbers $1$ through $4$. The eight numbers on the two dice are removed, put into a bag, then drawn one at a time and randomly reattached to the faces of the dice, one number to each face. The dice are then rolled and the numbers on the two top faces are added. Calculate the probability that the sum is $5$.

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