
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 five regions labeled $A, B, C, D,$ and $E$. The probability of the arrow stopping on region $A$ is $\frac{3}{10}$ and on region $B$ is $\frac{1}{4}$. What is the probability of the arrow stopping on region $C$ if the probabilities for regions $D$ and $E$ are $\frac{1}{5}$ and $\frac{1}{10}$ respectively? Express your answer as a common fraction.

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