Mijcellanea Curiofa. 29 1 



living, T y the Chances that they are both 

 dead; f^y the Chances that the elder Perfon 

 is dead, and the younger living ; and r T the 

 Chancer, that the elder is hVing, and the 

 younger dead. Thus two Perfons of. 1 8 and 

 35- are propoled, and after 8 Years thefe 

 Chances are required. The Numbers for 1 3 

 and 35-, are 610 and 490; and there are 5-0 

 of the Firft Age dead in 8 Years, and 73 of 

 the Elder Age. There are in all 61 o x 490, 

 or 298900 Chances ; of thefe there are 5*0 

 X 73, or 3650, that they are both dead. 

 Ancj^as 298900, ro 298900 — 365-0, or 295'25'0: 

 So is the prefent Value of a Sum of Money 

 to be paid after 8 Years, to the prefent Value 

 of a -Sum to be paid, if either of the two live. 

 And as 560 x 73, fo are the Chances that the 

 Elder is dead, leaving the Younger ; and as 

 417 X $p, lo are the Chances that the Younger 

 is dead, leaving the Elder. Wherefore as 610 

 x 490 to 560 x 73, fo is the prefent Value 

 of a Sum to be paid at 8 Years end, to the 

 Sum to be paid for the Chance of the Youn- 

 ger's Survivance; and as 610 x 490 to 417 x 

 5TO, fo is the fame prefent Value to the Sum to 

 be paid for the Chance of the Elders Survi- 

 vance. 



This poiTibly may be yet better explained, 

 by expounding thefe Produds by Rectangular 

 Parallelograms, as in Fig. 7. wherein A B or 

 C O reprefents the number of Perfons of the 

 younger Age, and D E, B H thole remain- 

 wg alive after a certain Term of Years; whence 

 CE will anfwer rhe number of rhofe dead in 

 that time : So AC, BD may reprefent the 

 number of the elder Age; d F, Bl the Survi- 

 ■ x vors 



