33 The personal identification numbers (PINs) for automatic teller machines usually consist of four digits.

4.33The personal identification numbers (PINs) for automatic teller machines usually consist of four digits. You notice that most of your PINs have at least one 0, and you wonder if the issuers use lots of 0s to make the numbers easy to remember. Suppose that PINs are assigned at random, so that all four-digit numbers are equally likely.(a)How many possible PINs are there?(b)What is the probability that a PIN assigned at random has at least one 0?

Clarification:In the book they permit a 4 digit number to contain a zero in the place. We have assumedit otherwise. If a 4 digit number is permitted to have a zero in the first place then the...