Mr. Morgan on Survivorships. 
22 $ 
TABLE, 
Shewing the probability of one life’s dying after another.* 
Ten 
years difference. 
Twenty yean difference. 
Thirty years di 
fference. 
Forty 
■ years di: 
fference. 
A-ges. 
Youngest. 
Eldest. 
Ages. 
Youngest, 
Eldest. 
Ages. 
Youngest. 
Eldest. 
Ages. 
Youngest. 
Eldest. 
1 
i, j 
•3973 
.5858 
i 
21 
.3885 
•5244 
I 
3 i 
•3384 
.4821 
I 
4 i 
.2908 
•43 55 
2 
12 
4664 
•5*36 
2 
22 
4536 
• 443 1 
2 
32 
•3934 
•3934 
2 
42 
•3355 
•3396 
3 
r 3 
.4962 
.4822 
5 
23 
.4803 
.4086 
3 
33 
•4155 
•3555 
3 
43 
.3526 
.2983 
4 
j I 4 
•5 *76 
•4597 
4 
24 
•4934 
.3898 
4 
34 
•4307 
.3284 
4 
44 
.3642 
.2686 
5 
*5 
•5297 
.4469 
5 
25 
.5028 
•3767 
5 : 
35 
.4382 
•3133 
5 
45 
• 3 6 94 
.2518 
6 
i6i 
•5417 
•4342 
6 
26 
.5120 
.3638 
6 
36 
.4456 
.2983 
6 
46 
• 374 6 
.2351 
7 
* 7 : 
.5501 
•4252 
7 
27 
•5183 
• 354 6 
7 
37 
•4498 
.2881 
7 
47 
•3777 
.2228 
8 
18 
•5559 
.4190 
8 
28 
•5223 
.3482 
8 
38 
4533 
.2796 
8 
48 
•3 79 1 
.2138 
9 
l 9 
.5586 
• 4 I 59 
9 
29 
•5237 
• 345 ° 
9 
39 
•454 • 
.2751 
9 
49 
.3788 
.2084 
IO 
20 
• 559 1 
.4152 
10 
3 ° 
.5232 
•3439 
10 
40 
•4532 
.2731 
10 
5 ° 
•3772 
.2057 
1 1 
21 
•5583 
• 4»57 
1 1 
31 
•5223 
•3438 
1 1 
4 * 
• 45 l6 
.2722 
1 1 
5 1 
•3747 
.2043 
12 
22 
• 557 i 
• 4 l6 7 
1 2 
32 
.5209 
• 344 ° 
(2 
42 
•4497 
.2716 
1 2 
52 
• 37 J 9 
.2033 
23 
•5558 
•4*78 
13 
33 
.5187 
•3449 
13 
43 
.4476 
.2712 
13 
S 3 
.3690 
.2024 
*4 
24 
•5544 
.4189 
14 
34 
•5179 
•3445 
'4 
44 
■4453 
.2709 
H 
54 
3 6 59 
.2016 
J S 
25 
•5530 
.4201 
15 
35 
.5162 
•3449 
J 5 ! 
45 
• 443 ° 
.2706 
15 
55 
.3626 
.2009 
16 
26 
•5513 
.4215 
16 
36 
• 5 H 4 
•3454 
16 
46 
• 44 ° 5 
.2704 
16 
5 6 
• 359 1 
.2003 
1 7 
27 
.5500 
.4225 
17 
37 
.5128 
• 345 6 
i 7 
47 
.4381 
.2699 
17 
57 
•355 1 
.1994 
l8 
j28 
.5490 
4232 
18 
38 
.5117 
•3452 
18 
48 
.4360 
.2688 
18 
58 
•3523 
• 1 978 
l 9 
29 
.5486 
•4233 
19 
39 
•5 io 9 
•3442 
l 9 
-19 
•4342 
.2670 
19 
59 
• 349 1 
.1956 
20 
30 
•5485 
.4230 
20 
40 
.5105 
•3427 
20 
50 
■4325 
.2648 
20 
60 
•3459 
.1928 
21 
31 
• 549 ° 
.4221 
21 
4 l 
.5105 
.3406 
2 1 
5 i 
• 43 12 
.2618 
21 
61 
.3428 
.1893 
22 
32 
•5498 
•4209 
22 
42 
.5107 
•3382 
22 
52 
.4298 
.2586 
22 
62 
•3399 
.1852 
23 
33 
.5506 
.4196 
23 
43 
.5110 
• 335 6 
23 
53 
.4284 
•2553 
23 
63 
•3244 
. 1 809 
2 4 
34 
•5515 
• 4 i8 3 
24 
44 
.51 10 
• 333 2 
24 
54 
.4268 
.2519 
24 
64 
•3339 
.1765 
25 
35 
.5524 
• 4 i6 9 
25 
45 
.5112 
• 33 ° 6 1 
2 S 
55 
■ 4 2 53 
.2484 
25 
65 
- 3 3 c 7 
.17 !9 
26 
36 
•5533 
• 4 J 55 ; 
26 
46 
.5112 
.3280 j 
26 
•4235 
.2449 
26 
66 
■ 3 2 74 
.1673 
27 
37 
•5543 
• 4 I 4 ° ; 
27 
47 
5113 
•3253 j 
27 
57 
.4212 
•2413 
27 
67 
•3238 
.1626 
28 
38 
•5553 
.4125 j 
28 
48 
.5114 
•3225 1 
28 
58 
• 4*99 
.2376 
28 
68 
.3201 
.1578 
* In the table in the LXXVNIth Vol. of the Philosophical Transactions, the cer- 
tainty of one life’s surviving the other is denoted by ioo. In this table the certainty of 
both lives becoming extinct is denoted by unity, this number being better suited to the 
solution in the following problems. It may not be improper to add, that both tables, 
though deduced from the decrements of life at Northampton, may be safely used, even 
when the values of the life annuities are derived from a different source, as the probabi- 
lities they express are very nearly the same, from whatever table of observations they are 
computed. 
