
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 created with a larger triangle by drawing the altitudes of the triangle and an additional line from one vertex to the midpoint of the opposite side, dividing the triangle into 12 regions. If four of these regions are shaded, what is the probability that the tip of a spinner resting on this board will stop in a shaded region? Assume it is equally likely to stop in any region.

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