
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
Teams A and B play a basketball match. The rule is that if one team wins 4 games, that team wins the match and the game ends (best of seven). The probability of teams A and B winning each game is 1/2. Let ξ be the number of games required. Calculate Eξ.

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