REMARKS ON THE DOCTRINES OF CHANCf!. jg* 



do it in 6 throws with 1 die, or in 1 throw with 6 dice, which 

 1 think he would be very unwiiHiig to do. The fact is, that 

 out of the 46656 possible com bi nations with 6 dice, there 

 are only 31031 throws that produce an ace, or any other 

 particular number; which, if he will take tlie trouble, he 

 may convince himself of, by trying all the combinations, as 

 in the preceding statement of the 2 dice, or according to the 

 method before given, viz. 



Probability of not throwing an ace 



with 1 die f of doing it ^ 



with 2 dice 4.x f= -^f ^^ 



with 3 dice |-X|-Xf= i1-|- ^VV 



with 4 dice f x |- X i- X f = AVV tWV 



with 5dicefXiXfXfXi= ffH fffV 



with6dice4xiXiXiXiXfr=J|fH HH^ ■ 



With respect to throwing a head with a halfpenny in 2 Slmllarreason- 

 throws (or with 2 halfpence in 1 throw, being the same ^"^^''P^'^*^ *° 

 thing) it ought, according to his view of the subject, if I ^° ^ pence, 

 understand him right, to amount to a certainty ; as there 

 are but two ways ia which a halfpenny can be thrown, and 

 there being two halfpence to do it with. He appears how- 

 ever to be satisfied with de Moin-e's value of the chauce, 

 viz. I, which is the true one, for in the 4 ways in which 2 

 halfpence may be throvyn, there are only 3 which give a 

 head ; for with the fiist 



may be thrown a head, and with the second a head, 



head, tail, 



tail, head, 



tail, tail. 



I am, Sir, 

 Your constant reader, 



and most obedient servant, 



B.H. 



iP, Milhnan Street, Bed{fordRow, 



14 Sept, ISOa, 



MEMARK. 



