
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 $2010$, Tsinghua University, University of Science and Technology of China, and three other prestigious universities conducted a joint independent recruitment for the first time. They issued early admission notices to two outstanding students with special talents in certain areas from a key high school. If both students are willing to attend any of these five universities, what is the probability that they will be admitted to the same university?

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