223 TRAINING IN INDIA 



The sum of the list chances would be {-J for (1) and 

 ]-| for (2) ; and consequently it would be 'possiUe to make 

 a profit on a '' book " with either of these lists. As I am 

 not at present concerned with the actual practice of bet- 

 ting, I need not discuss such questions as the probability 

 of the '' fielder " " getting round." 



For (1) list of prices just quoted, the following would 

 be a " round " book — 



50 to 75 against A (2 to 3 against). 

 100 to 33 „ B (3 to 1 „ ). 

 100 to 33 „ C (3 to 1 „ ). 



If A won, the " bookie " would win 66 - 50 = 16 ; if B, 

 108 -100 = 8; and if C, 108 - 100 = 8. 

 And for '^ list" (2) :— 



75 to 75 against X (evens). 

 100 to 50 „ Y (2 to 1 against), 

 100 to 33 „ Z (3 to 1 „ ). 



In this case, if X won, he would gain 83 — 75=8; if 

 Y, 108 - 100 = 8 ; and if Z, 125 - 100 = 26. 



The odds of one horse against another in the same race 

 is the proportion which their respective chances bear to 

 each other. Thus, if A be at even money (J chance) and 

 B at 2 to 1 (J chance), the correct betting on A against 

 B (one to win) would be 3 to 2. 



Tlie conibined odds of tivo or more horses in the same 

 race is obtained by taking their combined chances. For 

 example, if A was a 5 to 4 on, B 8 to 1 against, and C 17 

 to 1 against, their combined chance theoretically would be 

 J + J + 1^8 = ^8 j ^^^ ^^^^ i^Qvc combined odds, 13 to 

 5 on. 



