[ 3°8 ] 
2 n 
2 n 
- X 
■4 m z 
X 
3 „ - 4" my chance to be in 
the right is greater than £, and lefs than Y X 
i -f" 2 E b -f - — ■„ — 
— F° r by Art. 11. com- 
2 E jff — 
f q 2 E a b 
pared with the value of Y here fet down, the ratio 
of R h t Qjo A C F H is Y. But by Art. 8. D h t F 
is greater than R£/Q, and by Art. 12. the ratio 
of D/6/F to Ri> / Qjs lefs than that of 1 2 E a b 1 
p q 
2 E ab 
4- to I 
n 
-Pi 
T-, P ,1 2 E a b ^ . 
2 E a b . r rom whence 
it is plain that the ratio of t)£/F to ACFH is 
i4 2 E^ ? 4 
2E*V 
greater than E, and lefs than Y x 
1 — 2E ati — 
But, as appears from the 10 th Proportion in theEffay, 
the chance that the probability of the event lies between 
P P 
^-and 4 + z (that is, between the ratio of A h to 
A H, and that of A t to A H) is the ratio of D ht F 
to ACFH. Wherefore, the chance I am right in 
my guefs is greater than Y and lefs than Y x 
2Er/ b 1 
I 4- 2 E 
2 E ab q 
r ? P >1 2 
1 — 2 E a b — ~ 
E Sb* 
In 
