( IM ) 
II. An Argument for Divine TroVidence , taken from 
the confiant Regularity obferV d in the (Births of both 
Sexes. By Dr. John Arbuthnott, Thyfitian in 
Ordinary to Her Majefly , and Fellow of the College 
- of Thy jit i an s and the Royal Society. 
A Mong innumerable Footfteps of Divine Providence 
to be found in the Works of Nature, there is a 
very remarkable one to be obferved in the exa£f Bailance 
thar is maintained, between the Numbers of Men and 
Women y for by this means it is provided, that the 
Species may never fail, nor perifh, fince every Male 
may have its Female, and of a proportionable Age. 
This Equality of Males and Females is not the Effed of 
Chance but Divine Providence, working for a good End, 
which I thus demonftrate ; \ 
Let there be a Die of Two fides, M and F, (which 
denote Crofs and Pile), now to find all the Chances of 
any determinate Number of fuch Dice, let the Binome 
M+F be raifed to the Power, w,hofe Exponent is the 
Number of Dice given j the Coefficients of the Terms 
will fhewall the Chances fought. For Example, in Two 
Dice of Two (ides M-fF the Chances are M x + 2 MF-j-F*, 
that is, One Chance for M double, One for F double, 
and Two for M fingle and F fingle 5 in Four fuch Dice 
there are Chances M 4 -f4 M* F-f6 M 1 F x +4 MF*-pF 4 , 
that is, One Chance for M quadruple. One for F quadru- 
ple, Four for triple M and fingle F, Four for fingle M 
‘ and triple F, and Six for M double and F double 5 and 
univerfally, if the Number of Dice be », all their 
Chances will be exprefled in this Series 
M n + 
