
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 where the first team to win four games wins the series. If Team B wins the second game and the third game, and Team A wins the series, calculate the probability that Team B wins the first game.

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