[ 2 4 S ] 
confequently the number .999923846"!”, or the fra&ion 
13 * 3 °* 
1 3 I 3 1 ” 
will reprefent the probability, 
that no where. 
in the whole heavens, any two dars, amongd thofe 
in quedion, would be within the didanee of one 
degree from each other ; and the complement of 
this quantity to unity will reprefent the probability of 
the contrary. 
By a like reafoning, if we would compute the pro- 
bability, upon the fame fuppofition, that no two dars 
fhould be, one within the given didance x, and the 
other within the given didance £ of fome one par- 
ticular dar, we mud, fird, find the probability, that 
no dar, of the whole number of dars w, would be 
within the didance x from the given dar, which will 
— z ft'- 
be reprefented, as before, by the fra&ion 6 S 75 -s'-* x 
6875.5' a 
and, fecondly, we mud find the probability, that no. 
dar, of the whole number of dars n , would be 
within the didance z from the given dar, which, 
for the fame reafon, will be reprefented by the fraction. 
1 n 
6 H 75 - 5 '~ • and the complements of thefe to unity 
6875 5' 
will reprefent the refpe&ive probabilities of the con- 
trary : but the probability that two events (hall both 
happen, is the product of the refpe&ive probabilities of 
thofe two events multiplied together; if therefore we. 
multiply the two lad mentioned complements toge- 
ther, we /hall have the probability, that fome two 
dars would be, one within the didance x, and the 
other;- 
