
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 Go teams, A and B, each have 5 players who compete in a knockout tournament according to a predetermined order. The 1st players of both teams compete first, with the loser being eliminated. Then, the 2nd player of the losing team competes against the winner of the previous match, and this process continues until one team has all its players eliminated, and the other team emerges victorious. Assuming each player has an equal skill level, find the probability that Team A has 4 players eliminated and eventually defeats Team B.

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