
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
Three students are registering for elective courses in basketball, chess, and taekwondo. If each student can only register for one course, what is the probability that exactly two students register for the same elective course? Express the result as a simplified fraction.

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