Consider a directed graph D$.$We construct a new graph D$\text{'}$ by removing one edge from D$.$Which of the following are true? More than option could be applicable.

$>$If Dand 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$\text{'}.$