Petals Around the Rose: Fraternity Register

Took me an hour or so to find the answer. I made the mistake of ignoring the dice and compiling a list of solutions using numbers. I generated a couple of algorithms that were right a cetain percentage of the time.

I found the answer when I was reading the web page about how Bill Gates did it. When I realized that it had to be very simple algorithm that someone could do in their head with out much thought and most likely used a visual hint. When I saw a couple of solutions on that web page all next to each I figured it out right away.

I was annoyed I didn't figure it out using my original brute force math approach. I skipped a whole class of simple equations.