
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 board is designed using a square divided into four triangular regions by drawing diagonals from each corner to the opposite corner. One of the triangles is shaded. What is the probability that the tip of the spinner, which lands with equal likelihood in any of the regions but has double the chance of landing in non-shaded regions due to a bias, will come to rest in a shaded region? Express your answer as a common fraction.

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