AP Statistics Warm-up: Problem 5.26

Warm-up: Which of the following statements are true of a table of random digits, and which are false? Briefly explain your answer. There are exactly four 0’s in each row of 40 digits. Each pair of digits has 1 chance in 100 of being 00. The digits 0000 can never appear as a group, because this pattern is not random.

Answer: False. If it were true, then after looking at 39 digits, we would know whether or not the 40th digit was 0. True. There are 100 pairs of digits 00 through 99, and all are equally likely. False. 0000 is just as likely as any other string of four digits.