This question is to test your intuition. Read the following exercises (do not carry out the experiment).

A. Open a phone book to any page in the white pages. Select 100 consecutive phone numbers and tally the number of times each of the digits \(0,1,2,3,4,5,6,7\), 8,9 occurs as a first digit.

B. Repeat A for the third digit.

C. Repeat A for the last digit.

a. Do you think the occurrence of each digit will be about the same for each of these experiments?

b. Do you think the results of all three experiments will be about the same?

c. Now, after answering parts \(\mathbf{a}\) and \(\mathbf{b}\), carry out the experiments described in \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\).