Petals Around the Rose

Ok, for all you mathematically thinking people out there, and for people who think they can add, I have a game for you. 
The game starts with someone (or a computer) with 5 dice, they are rolled and you are asked the answer, now typically you don’t know, so you are told.
The dice is rolled again, and you are asked the answer, and so on.  The only facts you need to work it out, in fact you don’t really need any.  But traditionally (yes this is a very old game) you can know 3 things.  The answer to any roll, the name of the game, and the fact that the answer is always even or 0.

Here’s a web version and another one if you don’t like that interface…

Also a nice article on what happened with Bill Gates back in 1977