> >>>I currently am attempting to make formulas for use with the dice
> >>>function xdy+z, to make it easier to know appr. damage and other things
> >>>with my areas.
> >
> >
> >To roll 1dX the range is (1)...(X) and the average is (X)(X+1)(2X).
> >XdY+N is therefore (N+X) to (XY)+(N) average (X)(X+1)(2X)(Y)+(N).
>
>
> ERRATA: For "(2X)" read "(divide by 2X)".
>
> Sorry.
>
The first formula looks ok, but you could simplify it by eliminating
one X.
X(X+1)/2X = (X^2+X)/2X = (X+1)/2
In the second formula you have changed the X and Y.
It should look like:
(Y(Y + 1) / 2Y)X + N
Here you can eliminate one Y.
((Y^2 + Y) / 2Y)X + N = ((Y + 1) / 2)X + N
So the formula for calculating:
1dX is (X+1)/2
and
XdY+N is X((Y + 1) / 2) + N
/Johan
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