
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
An isosceles triangle has a base of 2 cm and height 4 cm. Altitudes from the top vertex to the base and from the midpoint of the base are drawn, dividing the triangle into 4 regions. Two opposite regions formed by these altitudes are shaded. What is the probability that the tip of the spinner will come to rest on a shaded region?

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