
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
In the new college entrance examination reform plan, it is stipulated that the scores of each candidate are set according to the mode of $3$ (Chinese, Mathematics, English) $+2$ (Physics, History) $1+4$ (Chemistry, Biology, Geography, Politics) $2$. Then the probability that two students, A and B, have exactly two subjects in common in their elective subjects is ______.

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