LOTTERIES 223 



A double event let is also calculated by taking the 

 chances, which in this case are multiplied together. Thus, 

 if it be 3 to 2 in favour of a certain occurrence taking 

 place, and 10 to 1 against another event occurring, the 

 chance of their both happening will be | X -j\ = -^^ ; and 

 the odds 52 to 3, or 17-| to 1 against it. 



Lotteries. — In lotteries the number of tickets and 

 their prices vary ; although at the principal meetings they 

 are generally fixed at Es. 100 and Ks. 10 respectively. 



The honorary secretary, or some other of&cial, should, 

 first of all, write down the tickets taken by single indi- 

 viduals, and then those taken conjointly; the practice 

 being to throw with dice for tickets, for which the loser 

 pays, although both he and the winner equally share the 

 amount obtained for the chance of any horse which any 

 of their tickets may draw. Not until all the tickets which 

 can be disposed of, either individually or conjointly, are 

 written down, should sweeps be allowed to take place ; 

 for they always tend to check the other forms of ticket- 

 taking. 



A lottery may be made out on a large sheet of foolscap, 

 on the first and second pages of which the tickets are 

 written down. At the end of the second page there is a 

 form for recording the result of the drawing ; and on the 

 third page one for showing the debit and credit of each 

 person. 



I shall now give an illustrative lottery paper for a 

 race, in which we may assume that five horses, viz. Mr. 

 Johnson's Sam, Mr. Williams' Jack, Mr. Payne's Lucy, 

 Mr. Thompson's Ruby, and Mr. Smith's Brilliant, are 

 declared to start, that there are 50 tickets at Es. 10 each, 



