Does it matter the shape specifically you calculate in?

Does it matter the shape specifically you calculate in? Prof. Loh did a pentagon but I did a trapezoid with the longer leg split into three points

Also, uh... what is the miniquestion asking for?

@TheBladeDancer Your trapezoid should work just as well; the fact that we took an amorphous set of blobs and turned them into polygons shows that the exact shape of your graph doesn't matter, only whatisconnectedtowhat matters.

@TheBladeDancer For the miniquestion, you are right, the wording is a bit difficult to understand here. It's really asking, "Count the ways to color the top six nodes. Now count the ways to have the lower two nodes (with arrows) the same color. Divide the \(2^{\text{nd}}\) number by the \(1^{\text{st}}\) number. What fraction do you get?"
Another way to state this question is, "Suppose you want the lower two nodes, with arrows pointing on them, to be the same color. What is the probability that out of all possible colorings of this graph, you get what you want?"