308 LIGHT SCIENCE FOR LEISURE HOURS. 



out of a bag of seven, one only of which is white ; but 

 backers of the horse consider that they ought to get 

 the same odds as might be fairly laid against drawing 

 the white ball when an additional black ball had been 

 put into the bag. As respects Green Sleeve and Blue 

 Gown, bettors are willing to lay the odds which there 

 would be, respectively, against drawing a white ball 

 out of a bag containing (1) eleven balls, one only of 

 which is white, and (2) one hundred and seven balls, 

 seven only of which are white. Now, the three horses 

 Rosicrucian, Green Sleeve, and Blue Gown, all belong 

 to Sir Joseph Hawley, so that the odds about the 

 three are referred to in the last statement of the list 

 just given. And since none of the offers against the 

 three horses have been taken, we may expect the odds 

 actually taken about " Sir Joseph Hawley's lot " to be 

 more favorable than those obtained by summing up 

 the three former in the manner we have already 

 examined. It will be found that the resulting odds 

 (offered) against Sir J. Hawley's lot estimated in this 

 way should be, as nearly as possible, 132 to 80. We 

 find, however, that the odds taken are 180 to 80. 

 Hence, we learn that the offers against some or all of 

 the three horses are considerably short of what back- 

 ers require ; or else, that some person has been induced 

 to offer far heavier odds against Sir J. Hawley's lot 

 than are justified by the fair odds against his horses, 

 severally. 



