( '87 ) 
It appears plainly, that when the Number of Dice is 
even there ate as many M’s as F’s in rhe middle Term 
of this Series, and in all the other Terms there are moft 
M’s or moft F’s. 
If therefore a Man undertake with an even Number 
of Dice to throw as many M’s as F’s, he has all the 
Terms but the middle Term againft him \ and his Lot is 
to the Sum of all the Chances, as the coefficient of 
the middle Term is to the power of 2 raifed to an ex- 
ponent equal to the Number of Dice: fo in Two Dice 
his Lot is I or f, in Three Dice x% or % x in Six Dice 
or t|, in Eight or tH, &c. 
To find this middle Terrain any given Power or Num- 
ber of Dice, continue the Series — * H_ l , &c. till the num- 
1 2 | 
ber of terms are equal to in. ForExample,the coefficient of 
the middle Term of the tenth Power is I f*z*%*hr= 2 ')' 2 > 
the tenth Power uf 2 is 1024, if therefore A under- 
takes to throw with Ten Dice in one throw an equal 
Number of M’s and F’s, he has 252 Chances out of 
1024 for hi:n 5 that is his Lot is or which islefs 
than 4 . 
It will beeifyby the help of Logarithms, to extend 
this Calculation to a very great Number, but that is not 
my prefenc Defign. it is vifible from what has been 
faid, that with a very great Number of Dice, A’s Lot 
would become very fmall 5 and confequently (fuppofing 
M to denote Male and F FemaL) that in the vaft Num- 
ber of Mortals, there would be but a fmall part of all 
the poffible Chances, for its happening ar any afiignable 
time, that an equal Number of Males and Females 
fhould be born. 
It is indee d to be confeffed that this Equality of Males 
and Females is not Mathematical but Phyfical, which al- 
ters much the foregoing Calculation ; for in this Cafe 
the: 
