We can only make two reasonable assumptions about scum's picks:
1. One of the PRs scum will have picked is a Weak Doc.
2. Scum will have avoided picking what they believed to be the most powerful PR combination. As we have seen just through this discussion alone, there are diverging perspectives on which is more powerful between Cop & Mason & Investigative vs double-doc. For that reason, we cannot make an assumption on either of those things (That scum would not have double-doc, that scum would not have an investigative, or that they would pick one of the investigatives over the other).
From these two assumptions we can make a least likely to most-likely scum PR choosing as follows. Those higher up are least likely scum choices. Those on the same level have equal possibility:
a. Cop-Mason-Doc <> Cop-Mason-Vig
b. Cop-Mason-WDoc
c. Cop-Doc-Vig <> Mason-Doc-Vig
d. Cop-Vig-WDoc <> Cop-Doc-WDoc <> Mason-Vig-WDoc <> Mason-Doc-WDoc* <> Vig-Doc-WDoc
*this combo would be all sorts of silly, and they probably wouldn't choose this, though we do have to keep in mind the abundance of new players in this game.
So the only thing we can really work off of is (A) There is probably a weak Doc and (B) There are not 2 investigatives. So I think we can reasonably exclude a-c (though of course never 100%), and should be working on the assumption that any of the d-level combinations are possible. If we make the assumption of which one they picked we do happen to be right, then we have a huge pay-out. However, if we are incorrect, then SCUM has a huge pay-out. We'd be gambling. We need to choose them the perks that provide them the least amount of potential pay-out given these possibilities taken as a whole. 4 out of 5 of these include an investigative (3/4 if you exclude the asterisk). In the big picture, Jan & Roleblock is the most optimal combination we can do. Even if we DO end up not having an investigative, we still will not have been severely hampered.
In other words, while we may not be making the BEST choice for a vig-doc-wdoc combo, we are not making a bad one.
However, if the combo is any of the other 4 out of the 5, then we are making the WORST choice.