
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 formed using an isosceles right triangle (45°-45°-90°). It is further subdivided by drawing altitudes from the right angle to the hypotenuse and from each of the other two angles to their opposite sides. Two of these regions are shaded. What is the probability that the tip of a spinner landing on this board will rest in a shaded region?

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