
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
A point is thrown into the region \( G \), bounded by the ellipse \( x^{2} + 4y^{2} = 8 \). What is the probability that it will land in the region \( g \), bounded by this ellipse and the parabola \( x^{2} - 4y = 0 \)? (In Fig. 1.7, the specified region \( g \) is shaded).

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