Consider a directed graph D$.$ We construct a new graph D$\text{'}$ by removing one edge from D$.$ Which of the following apply?

If D and D$\text{'}$ were undirected graphs, the answers to the other options would not change.

Any probability distribution $($pd$)$ P that factorizes over D also factorizes over D$\text{'}.$

Any pd P that factorizes over D$\text{'}$ also factorizes over D$.$

No pd P that factorizes over D also factorizes over D$\text{'}.$