
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
Let the random variable $\xi$ follow the binomial distribution $B(2, p)$, and the random variable $\eta$ follow $B(4, p)$. If $P(\xi \geq 1) = \frac{5}{9}$, find $P(\eta \geq 2)$.

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