[ 3°9 ] 
In like manner, 2dly, the fame things fuppofed, if I 
judge that the probability of the event lies between 
z > my chance to be right is lefs than £, 
^ and — 
n n 
and greater than £ x 
2E a b q 
i — 2 E a p b q — — - — 
^ p 2E/^ ? 
i 4 - 2 E a b -)- — - 
. This 
is manifeft as the other cafe, becaufe D hfC is lefs 
than R h t Q, but the ratio between them is greater 
than that of i - 2 E a b 1 — - to 1 -f 2 E a f b 9 -\- 
r p f 
2 E a b 
• 
n 
3 d ly> other things fuppofed as before, p is 
gi eater than y, and I judge the probability of 
the event lies between ^ and — z y my chance 
to be right is lefs than £, and greater than £ x 
. But if I judge it lies be- 
T-, P 2 E / / 
i — 2 E a b — 
n 
P 7 
, „ P 2 E a b 1 
I + 2 E a g + — 
tween —and z } my chance is greater than £, and 
lefs than £ x 
. 1 P ,7 , 2 E a P b 1 
i +2 E a b 
p , q 2 E// 
1 — 2 E d b 
And if p — y. 
which 
