AND PLANTS 



95 



Results of Tossing twelve dice 2 12 times. 



You see that in each series of trials the individual 

 results occur with a frequency in rough agreement with 

 that given in the fourth column of the table. We cannot 

 predict the order in which these results will occur, but we 

 can make at least a rough prediction of the relative 

 frequency with which any one of them will occur, in a 

 sufficiently long series of trials. We can predict that one 

 result will occur more frequently than any of the rest, and 

 we can predict the way in which the other possible results 

 will group themselves around it. 



We cannot replace our variable experience of the results 

 obtained from individual throws of dice by a statement of 

 an ideal and constant experience, without getting into 

 serious difficulties, because the margin of uncertainty is 

 too great; but we can describe the whole series of 



1 No dice are symmetrical. The entries in this column are the terms 

 of 4,096 (0-509 + 0-491) w , based on the observed mean chance of 

 throwing more than 3 points with the dice used. 



