
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
Team A and Team B play a series of games where the first team to win three games wins the series. Each team is equally likely to win each game, there are no ties, and the outcomes of the individual games are independent. Additionally, it's given that Team A never wins two consecutive games until they win the final game of the series. If the last game to make Team A the series winner is the fifth game and the first game is won by Team B, calculate the probability that Team B also wins the second game.

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