It's not any different, but I was missing a factor, the fact that there are only as many possibilities to match as they are
I'm thinking that a player picking his drawing from a bowl of numbers is an independent event from the lottery drawing, thus the two events have to be multiplied before divided to the possible number of matchups. This is important for more complicated calculations
So to preserve the metaphysics of this calculation, the player - lottery probability formula analogy to two 6 sided dice, is (1/6 x 1/6) = all combinations, divided by the number of ways they can match up, which is the entropy of one 6 sided dice (hope I hit that fancy term right:) ), thus (1/6 x 1/6)/(1/6)=(1/6 x 1/6)*(6/1)=6/36=1/6
"In information theory, entropy is a measure of the uncertainty associated with a random variable."
a measure of the uncertainty = probability