When I open a bank account I am allocated a 4-digit personal identification number (which may begin with one or more zeros) at random. (a) What is the cardinality of the sample space for this experiment? (b) By computing the cardinality of each of these events find the probability that: (i) Every digit of my number is even; (ii) My number is palindromic (reads the same forwards as backwards); (iii) No digit of my number exceeds 7; (iv) The largest digit in my number is exactly 7.

When I open a bank account I am allocated a 4-digit personal identification number (which may begin with one or more zeros) at random. (a) What is the cardinality of the sample space for this experiment? (b) By computing the cardinality of each of these events find the probability that: (i) Every digit of my number is even; (ii) My number is palindromic (reads the same forwards as backwards); (iii) No digit of my number exceeds 7; (iv) The largest digit in my number is exactly 7.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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