A link to this game resurfaced at a local forum. I remembered it took me a while to solve it, one or two years back. Basically I carefully read through this story about Bill Gates and constructed the formula that gave the right answer everytime. But I never found out why the name of the game was important until today.
Please play the game before reading on.
I had worked out that the answer is this:
Discard all even throws, sum the total number of dots on the remaining odd dice and subtract the total number of odd dice. In a nutshell, whenever a 3 is thrown add 2 to the answer, whenever a 5 is thrown, add 4, otherwise do nothing. The answer turns out to be completely visual. Read this link. Now read the last sentence in that bill gates piece. I suspect that I got the same formula that he did.