1J92, on chances in the lottery. 1 73 



which {hews a chance against the last case, almost 

 beyond the powers of comprehension to conceive, but 

 which is demonstrable from the principles of combination 

 of quantities y on which the above calculation is founded. 

 From the above calculation, it may also be found, 

 that there is just 20,000 times a better chance of -re-f 

 ceiving 20,000 1. by on€ whole ticket, than of receiv- 

 ing but even 15,000!. by two half tickets. 



As io receiving 10,000 1. by four quarter tickets, it 

 cannot bear a comparison with the chance which a 

 whole ticket has of gaining double that sum. 



Were the amount of a whole ticket to be purchased 

 in i6ths of 16 differents tickets, the utmost pofsible 

 amount of the prizes that could thence result would 

 be only 3500 1. but against even this there are many 

 hundred millions of chances to one. 



I hope it will not be construed, that the . object of 

 this efsay is to difsuade adventurers from trying their 

 fortune in the lotteries •■, my object is merely to prove, 

 that dividing the proportion of a ticket which one 

 means to adventure on, into small (hares, is by no 

 means the way to get a great prize. If the object is 

 merely to have a chance of being reimbursed the mo- 

 ney so laid out, the dividing the ticket into small 

 (hares has a kind of chance of obtaining that end, but 

 if an adventurer wiflies to receive a great prize, as all 

 adventurers flatter themselves that they will, by all 

 means, keep close to one ticket to whatever extent is 

 meant to be riiked from a luhole ticket down to an eight 

 (hare. 



CalculatoH. 



