22 6 Mr. Morgan on Survivorships. 
importance, and the solutions of a great number of problems 
require that it should be previously ascertained, I have com- 
puted a similar table on the present occasion ; and it will ap- 
pear from the following operations that both are formed in 
nearly the same manner. 
Ages of 
B. A 
*95 
9+ 
93,83 
92)82 
9 
79 
Probability of B’s dying after A. 
4X186' 
9 X 234 
,. 48X8 [ 48+41X3 _ 
, 55X15 | 55+48X8 j 48+41X3 — 
.002 
.1546 
.2072 
Probability of A’« dying 
after B. 
.0827= .0827 
4X186 
, s + 6=..8 3 5 
9 X 234 
15X144 
1 57X23 1 57+55X15 | 55+4 8 X8 j 48^41 X3 _ 
C 346 X 2 + 2 2 2 
,. 60 X 33 | 67+57X23 | 57+55X15 yg,r — .2696 
24X34 6 
34 X 4°6 
46 X 469 ‘ 
62 X 534 
, 63X45 j 63+60X33 | 60+57X23 t kr _ <286+ 
y 65 X 61 i ~ 65+6 3 X45 , 6j±6oX33 + ^ _ 2go? 
16X289 
23X201 
24X346 
_ .2072=. 2599 
.2422=. 3145 
2 6 9 6 =.jS 44 
34 X 4°6 
46 X 3 ^ _. 28 6 4 -. 3894 
46X469 
6 .i><3j9_ .290722; .4260 
62X534 
From these specimens it will be readily seen, that the pro- 
bability between two younger lives is derived from that of the 
two preceding older ones, without any addition of labour, foi 
the sum of all the terms of the series, excepting the two first, 
is constantly obtained from the foregoing operations. Thus, 
when the ages of B and A are 92 and 82, the two terms 
55+4*xS 4S-441 x 3_ form a part of the preceding series, which 
expresses the probability between two persons aged 93 83. 
* This, and all the other computations in this paper, are deduced from the North- 
ampton Table, in Dr. Price’s Treatise on Annuities, Vol. II. p- 3 6 - edlt * 5 th - 
