
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
Consider an isosceles triangle with base angles twice the size of the vertex angle. Altitudes are dropped from each vertex, dividing the triangle into six regions. If four of these regions are shaded, what is the probability that the tip of a spinner, when spun, will come to rest in a shaded region? Express your answer as a common fraction.

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