
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 spinner is divided into four regions labeled $A$, $B$, $C$, and $D$. The probability of the spinner stopping on region $A$ is $\frac{1}{3}$, and on region $B$ is $\frac{1}{4}$. What is the probability of the spinner stopping on regions $C$ and $D$ given that $P(C) = 2 \times P(D)$?

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