
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 wheel is divided into five regions labeled $E$, $F$, $G$, $H$, and $I$. The probability of the pointer landing on region $E$ is $\frac{1}{5}$, the probability of it landing on region $F$ is $\frac{3}{10}$, and the probabilities of it landing on regions $G$ and $H$ are equal. The probability of landing on region $I$ is twice the probability of landing on region $G$. What is the probability of the pointer landing on region $G$?

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