
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
What is the probability of spinning the spinner shown and getting either a prime number or a multiple of 4? Express your answer as a common fraction. [asy]
import olympiad; defaultpen(linewidth(0.8)); size(100); dotfactor=4;
draw(Circle((0,0),1));
string[] labels = {"3","6","1","4","5","2","8"};
for(int i = 0; i < 7; ++i){

label(labels[i],0.7*dir(360/7*i));

draw((0,0)--dir(360/7*i - 360/14));
}
draw((0,0)--0.7*dir(360/7*2 - 360/14),linewidth(2.0),EndArrow(size=6));
[/asy]

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