C 6 79 )' 
fame in both Cafes, that is, the Gamefler pays a Shil- 
ling for a Lot that is worth but 8 Pence. 
The Method of finding this Anfwer being (bmewhat 
out of the common Road, I fhall here add it, and there- 
by infinite Solutions of the fame kind may be difcove- 
red. 
ifi Lottery. zd Lottery. 
Let the number of Blanks, the number of Blanks 
b— the number of Prizes, n =the number of Prizes 
r = the Value of a Prize, s =the value of a Prize. 
i = to what you pay for a Lot, viz, a Shilling. 
So the Lottery has it's Chances for i, and the Game- 
fler his for r- — i. Now the true Odds confifting of 
the compounded Proportion of the Chances and the Va- 
lues, viz. y anc * 7.Z.7"? t ^ ie Share of the Lottery will be 
a, and that of the Gamefler r b — t. Therefore as the 
prefent cafe flands, the firfl Lottery muft be a~^rb 
— 3^, and by the like reafoning the fecond Lottery will 
bzm = z sn—z n. Now the Value of a Lot being 
the Sum of the Prizes divided by the number of Lots, 
£ which muft be equal in both Lotteries ) it yields 
rb sn 
So to proceed. 
a-\- b m-\-n 
a 
■ 
1 
\ a ~ 
b 
Z 
m = 
3 
I r b 
* 
\a-\-b 
m 
4 
m 
n 
5 
go 
6 
