
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
Alice and Bob play a game with a soccer ball. On each turn, if Alice has the ball, there is a 1/3 chance she will toss it to Bob and a 2/3 chance she will keep the ball. If Bob has the ball, there is a 1/4 chance that he will toss it to Alice, and if he doesn't toss it to Alice, he keeps it. Bob starts with the ball. What is the probability that Bob has the ball again after two turns?

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