
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
Mr. Johnson gives a list of 12 books to his students and asks each student to read any 5 of them. Alice and Bob randomly choose their 5 books independently from this list. What is the probability that they select exactly 3 books that are the same?
A) $\frac{1}{4}$
B) $\frac{55}{209}$
C) $\frac{10}{63}$
D) $\frac{1}{2}$

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