
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
Three people, A, B, and C, are passing a ball to each other in a training session. The first pass is made by A. Each time the ball is passed, the passer has an equal chance of passing the ball to either of the other two people. Calculate the probability that the ball ends up in A's hands after 6 passes.

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