
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
In a bag, there are $5$ identical red balls and $2$ identical black balls. Each time, one ball is drawn from the bag, and this process is repeated $3$ times. The number of red balls obtained is denoted as $X$, the number of black balls obtained is denoted as $Y$. If the drawing is done without replacement, the number of red balls obtained is denoted as $\xi$. Which of the following conclusions is correct?

① $E(X):E(Y)=5:2$;

② $D(X) > D(Y)$;

③ $E(X)=E(\xi)$;

④ $D(X) < D(\xi)$.

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