MATHEMATICS. 



recurrency of that order which naturally results from 

 original design. 



Chances on the Dice. 



The probability of throwing three aces successively 

 on one die is x J- X $=-,?. 



Odds at Whist. 



The odds for and against any particular non deal- 

 er's hands of trumps. It is 



12,211,799,222 to 1 that he does not hold 12 trumps. 

 53,326,633 to 1 11 



778,068 to 1 - - - 10 

 25,457 to 1 - - 9 



1,567 to 1 8 



163 to 1 7 



26 J to 1 - - - 6 



6 to 1 - 5 



7 to 4 or near 9 to 5 4 



13 to 7 that he holds - 3 



7f to 1 or 38 to 5 - 2 

 57 to 1 - - 1 



It is 2 to 1 against your partner having one certain 

 card (suppose an honour). 



It is 1 7 to 2 against your partner having two cer- 

 tain cards : 



But that he has one or both is about 5 to 4 in his 

 favour. 



It is 5 to 2 that your partner has one, two, or all 

 three certain cards. 



8 to 9 is about 100 to 96 J in favour of 8 with the 

 deal : against the deal the odds are still, though 

 small, in favour of 8. 



Multiplication. 



If it be required to multiply 98,765 by 25, multiply 

 first by 100 by adding two cyphers, and then divide 



