APPENDIX 



695 



Columns i and 2 give the number of heads and tails whose probability 

 is in question. Column 3 gives the probability of exactly the number of 

 heads and tails indicated in columns I and 2. 



A glance at the table shows that, in the long run, one should expect 499 

 heads and 500 tails more than 600,000 times as often as 420 heads and 579 

 tails. In this connection it is interesting to inquire into a case mentioned 

 on page 692, namely, the probability of getting all heads in a single throw 

 of a thousand pennies. This probability is 



an integer containing 302 figures) 



and the statement made on page 692 as to the human race (population 



1,500,000,000) devoting itself to tossing pennies is clearly a safe statement. 



The results in the above table may well be exhibited graphically (Fig. 4). 



490500 509 



