
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
Given a binomially distributed random variable $\xi \sim B(n, p)$ and it is known that $E(\xi) = \frac{5}{3}$ and $D(\xi) = \frac{10}{9}$, find the probability $P(\xi = 4)$.

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