why guessing the lottery probability...

The chance of the player matching the lottery is 6/36, not 1/36. The six matching combinations are:
1,1
2,2
3,3
4,4
5,5
6,6

How did you calculate 14 million? I wanna see your formula.

I predict the next time you roll a dice (or die for the pedantic) you will roll a "2".

What is the chance that I guessed correctly?

Actually you're right, I blame friday night

http://en.wikipedia.org/wiki/Lottery_mathematics

1/6 for a 6 sided dice

Truth is, the player and lottery are independent events, so the math to get the probability starts with the independent events formula, then divide the result by the number of possible outcomes. It is important for me to put it like this.

How is me picking what number you are going to roll on a dice (or die for the pedantic) different then you picking what number is going to come up on the lottery?

You are getting it right with the dice example.

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

Legend:
http://en.wikipedia.org/wiki/Entropy_%28information_theory%29
"In information theory, entropy is a measure of the uncertainty associated with a random variable."
a measure of the uncertainty = probability

Thanks for that Wiki article on how the math was done. The reason I came up with a different answer is here (also from Wiki). It depends on how numbers are used to determine the winner.