478 PHILOSOPHICAL TRANSACTIONS. £aNNO I788. 



have recourse to this area in any case, especially as the true probabilities of sur- 

 vivorship are so easily computed from the preceding series. 



The follovi^ing table has been formed in the manner described above; and as 

 no such table has ever been attempted before, I have been the more desirous to 

 render it complete, by computing the probabilities of survivorship between 2 

 persons of all ages, whose common difference is not less than 10 years. Instead 

 also of supposing certainty to be denoted by unity, I have assumed 100 for this 

 purpose; so that the sums in the adjoining columns express the number of 

 chances in 100 which are in favour of b or a's surviving the other. 



Table, showing the Probabilities of Survivorship between 2 Persons of all Ages, whose Common Differ- 

 ence of Age is not less than 10 Years, computed from the Northampton Table of Observations in Dr. 

 Price's Treatise on Reversionary Payments. 



Ages. 



11. 



12. 



13., 



14,. 



15., 



16. 



17.. 



18. 



19. 



20. 



21., 



22., 



23. 



24., 



25., 



26. 



27.. 



28., 



29. 



30., 



31.. 



1 



2 

 3 

 4 

 5 

 6 



7 

 8 



9 

 10 



11 



12 

 13 

 14 

 15 

 16 

 17 

 IS 



19 

 20 

 21 



Probabilities. 



32. . 22 



.59 

 36 

 23 

 98 

 70 

 43 

 53 

 91 

 60 

 53 

 58 

 .68 

 .78 

 .90 

 .02 

 .16 

 ,26 

 ,32 

 ,34 

 ,31 

 ,22 



09 



41.41 

 48.64 

 51.77 

 54.02 

 5530 

 56.57 

 57.47 

 58.09 

 58.40 

 58.47 

 58.42 

 58.32 

 58.22 

 58.10 



57-98 

 57-84 

 57.74 

 57.6s 

 57.66 

 57.69 

 57.78 

 57.91 



21.. 

 22.. 

 23.. 

 24.. 

 25.. 

 26.. 

 27.. 

 28.. 

 29.. 

 30.. 



] 



2 

 3 

 4 

 5 

 6 

 7|35 

 8 34 

 934 

 10 34 



31. .11 34 



.4647.54 

 3355.67 

 .88|59.12 

 .0061.00 

 .6962.31 

 ,40:63 60 

 .48 64.52 

 ,8465.16 

 5265.48 

 41 65.59 

 40 65.60 



Ten Years Difference. 

 Ages. Probabilities. Ages. Probabilities. 



33. . 23 

 34. . 24 

 35.. 25 

 36. . 26 

 37. . 27 

 38.. 28 

 39. . 29 

 40. . 30 

 41. .31 

 42. . 32 

 43.. 33 

 44. . 34 

 45. . 35 

 46. . 36 

 47. . 37 

 48. .38 

 49. . 39 

 50. . 40 

 51. .41 

 52. . 42 

 53. . 43 

 54. . 44 



.97 

 .83 

 .70 

 .56 

 .41 

 .26 

 .10 

 .94 

 •78 

 .63 

 .49 

 .34 



.19 

 .04 

 .88 

 .71 

 ,54 

 ,38 

 .23 

 07 

 .90 

 ,81 



58.03 

 58.17 

 58.30 

 58.44 

 58.59 

 58.74 

 58.90 

 59.06 

 59.22 

 59.37 

 59-51 

 59.66 

 59.8I 

 59.96 

 60.12 

 60.29 

 60.46 

 60.62 

 60.77 

 60.93 

 61.10 

 61.19 



55.. 45 

 56. . 46 

 57. . 47 

 58. . 48 

 59. . 49 

 60. . 50 

 61.. 51 

 62. . 52 

 63. . 53 

 64. . 54 

 65. . 55 

 66. . 56 

 67. . 57 

 68. . 58 

 69. . 59 

 70. . 60 

 71. .61 

 72. . 62 

 73.. 63 

 74 .64 

 75.. 65 

 76. . 66 



38 

 38 

 38 

 37 

 37 

 37 

 37 

 37 

 36 

 36 

 35, 

 35. 

 35. 

 34, 

 34, 

 33, 

 33. 

 32 

 32. 

 32 

 31 

 31 



53 

 .35 

 16 

 .97 

 .77 

 .56 

 .30 

 .00 

 68 

 34 

 97 

 58 

 17 

 74 

 30 

 85 

 38 

 90 

 46 

 04 

 70 

 45 



61.47 

 61.65 

 61.84 

 62.03 

 62.23 

 62.44 

 62.70 

 63.00 

 63.32 

 63.66 

 64.03 

 64.42 

 64.83 

 65.26 

 65 70 

 66.15 

 66.62 

 67.10 

 67.54 

 67.96 

 68.30 

 68.55 



Twenty Years Difference. 



32.. 1234 

 33. . 13 34 

 34.. 14 34 

 35.. 15 34 

 36.. 1634, 

 37.. 1734. 

 38.. 18 34. 

 39'. 1934, 

 40. . 20 34. 

 41.. 21 34. 

 42. . 22 33. 



65.58 

 65.56 

 65.53 



65.49 

 65.44 

 65.42 

 65.46 

 65.56 

 65.71 

 65.92 

 66.\6 



43. . 23 33 

 44. , 2433 

 45.. 25 33 



46. . 26 

 47. . 27 

 48. . 28 

 49. . 29 

 50. . 30 

 51. .31 

 52. .32 

 53. . 33 



59 



3 



.09 



,83 



56 



28 



99 



70 



43 



16 



88 



66.41 

 66.65 

 66.91 

 67.17 

 67.44 

 67.72 

 68.01 

 68.30 

 6S.57 

 68.84 

 69.12 



Ages. Probabilities. 



77.. 67 

 78. . 68 

 79. . 69 

 80. . 70 

 81. .71 

 82, . 72 

 83.. 73 

 84. . 74 

 85. . 75 

 86. . 76 

 87. . 77 

 88.. 78 

 89.. 79 

 90. . 80 

 91.. 81 

 92. . 82 

 93. . 83 

 94. . 84 

 95. . 85 

 96. . 86 



31.20 

 30.90 

 30.47 

 30.00 

 29.58 



2919 

 28.90 

 29.02 

 29.17 

 29-25 

 29.42 

 29-9-t 

 30.29 

 30.22 

 28.97 

 27.20 

 24.20 

 20.49 

 16.06 

 11.73 



68.80 

 69.10 

 69.53 

 70.00 

 70.42 

 70.81 

 71.10 

 70.98 

 70.83 

 70.75 

 70.58 

 70.06 



69-71 

 69 78 

 71.03 

 72.80 

 75.80 

 79.51 

 83.94 

 88.27 



54. . 34j30 

 55. . 35 30, 



36'30. 



37|29. 



S8I29. 



39I29. 



4028. 



41:28 



42 28. 



43; 27 



56. 

 57. 

 58. 

 59- 

 60. 

 61. 

 62. 

 63. 



64.. 44127. 



.60/69.40 

 .3269.68 

 .03 69.97 

 73 70.27 

 43 70.57 

 1370.87 

 82|71.1S 

 4971.51 

 1471.86 

 74i72.26 



33172.67 



