
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
Each outcome on a new spinner has equal probability, with digit options being 1, 4, and 8. If you spin the spinner four times, forming a four-digit number where each consecutive spin outcome assigns the thousands, hundreds, tens, and units digit respectively, what is the probability that the resulting four-digit number is divisible by 4? Express your answer as a common fraction.

[asy]
draw(Circle((0,0),10));
draw((0,0)--(8.7,-5));
draw((0,0)--(-8.7,-5));
draw((0,0)--(0,10));
label("1",(7,7),SW);
label("4",(-7,7),SE);
label("8",(0,-2),S);
draw((0,0)--(3,5),Arrow);
[/asy]

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