
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
Four soccer teams, A, B, C, and D, participate in a match. Assume that each team has an equal probability of winning each match. If these 4 teams are arbitrarily divided into two groups (each group consisting of two teams) for the match, and the winners then compete, calculate the probability that teams A and B will meet.

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