Petals Around the Rose: Fraternity Register

I came across this page late last night. Being a physicist, I thought of a sophisticated mathematical model to determine the algorithm. It certainly would have worked, but required a lot of input data to fix parameters. Even then, it would only have provided a predictive formula to arrive at the correct answers -- some inductive "zen" would still be needed to connect the rule to an elegant and explanitory solution that the puzzle's inventor no doubt had in mind.

While thinking about this in bed, I wondered if it would be possible to solve the problem without any data at all. If so, I thought, the only things left to go on would be the even-ness of the outcomes and the name of the game, "Petals around the rose..." The insight came immediately thereafter!

took me ages, but i got it in the end, love the puzzle, know the answer, thank god i figured it out before 1am!!!

Fun Game. Took me a few rolls to figure out but I got it.

Took me about 20 minutes to solve.

Wow, I feel like Bill Gates. It took me almost 2 hours, but I finally got it.

juhey, got it.

Fun little game, took me around 10 minutes. Those who work a lot on it must be really frustrated when they find out

Just under 10 minutes.

Was trying to make it harder than it was.

Phew!

Ha! An interesting problem.

4-5 minutes. Was trying to make it more complex than I needed to. Very cool riddle.