
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
If the probability of a random event A occurring in a trial is $p$ $(0<p<1)$, and a random variable $\xi$ represents the number of times A occurs in that trial, then find the maximum value of $\frac {4D\xi - 1}{E\xi}$.

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