
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 Hungarian teams, Bolyai TC and Eötvös TK, have reached the top 16 teams in the European Cup. What is the probability that they will play against each other? (The competition follows a single-elimination format; in each match, one team progresses while the other is eliminated.)

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