[ 3°7 ] 
P 7 
— 2 E a I ? — - — 1 Li-. But the ratio of H D h to 
n 
AD h y by Art. 6. is greater than the ratio of D h t F 
to D hfCy when q is greater than p. Wherefore, 
much more when q is greater than p , the ratio of 
D h £ F to D/6/C will be lefs than that of i 4- 
f ? p ? 
2 E a*g + to i — 2 E iif. 1. And 
becaufe, by Art. 8. R h t Q is a mean between 
D h t F and D hj C, the ratio of D h t F to R h t Q_ 
pi 
will be lefs than that of i -4- 2 E db q + - — - — to 
1 n 
P 7 
x — 2 E dff—UlL. And the ratio of D hfC 
Pi 7 
to R h t Q^_will be greater than that of i — 2 E a b 
_ P 9 
2 E a b 
n 
to i 2 E ab q -\- 
_ / ? 
RULE II. 
if nothing is known of an event but that it has 
happened p times and failed q in p -j- q or n trials, 
and q be greater than p ; and from hence I judge 
that the probability of its happening in a tingle trial 
lies between - and - 4- (if = — -> a = 
n n ' ' 2 p n 
b — E the coefficient of the term in which oc- 
curs b when a -j- b\ is expanded, and £ — 
n + r 
n 
2 p a T-x P,9 m 3 z 3 
' X L a b x m z 
✓ n 
ri'-'l 
X 
OT 5 Z 5 
R r 2 
n — 2 
