
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 game wheel is divided into four regions labeled \(D\), \(E\), \(F\), and \(G\). The probability of the arrow stopping on region \(D\) is \(\frac{2}{5}\) and on region \(E\) is \(\frac{1}{5}\). What is the probability of the arrow stopping on region \(F\) if the probability of stopping on \(G\) is \(\frac{1}{10}\)? Express your answer as a common fraction.

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