
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 box, there are $4$ balls, including $1$ red ball, $1$ green ball, and $2$ yellow balls. Balls are randomly drawn from the box, one at a time without replacement, until a red ball is drawn. Let $\xi$ be the number of yellow balls drawn during this process. Find $P\left(\xi =0\right)=$____ and $E\left(\xi \right)=$____.

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