[ 90 ] 
r = i, will be the very fame with that exhibiting: 
the number of chances for p points, precifely, with 
n dice, having each w faces : and in^ this cafe, where 
the chances for the errors in excefe and defe<fl are the 
fame, the folution is tlie moft fimple k can be; fince, 
from the chances above determined, anfwering ta 
the number />, precifely, the fum of the chances for 
all the inferior numbers (inclufive), may be readily 
obtained; being, given, (from the ^Method' of Incre- 
ments) ^ual to 
*12 3 4, V /J 
p' p'—l p'—2 3 . 
+ ^T 
12 3 . 4 
p' pl.f^ — I p'/^2j 3 
(«) X 7 T 
3. 
(«) X J- 
n n — r- 
p'>f pX' — x p'"—2 -p' 
mm ■■ - • * - « A 
1 3 4r. 
'll 
Kill 
(») 
« n — I n — 2 
The difterence between which and half (w”)y the 
fum of a)l the chances,, (which difference' I fhall de- 
note by D)y will confe^uently be the number of 
the chances whereby the errors in excefs- (or-in de- 
fed;) can fall- within the given limit m : fo- that 
will be the true meafure of the required proba- 
bility, that the error, by taking the Mean of. t ob- 
fervationSy exceeds not the quantity -, propofed.. 
i 
To i 11 u ft rate .this by an example, from whence- 
the utility of the method in pradice, may clearly 
appear, it will .be neeeffary, in the firft place, tO' 
aflign. fome number for exprefling the limits of 
tile: 
1 
