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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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
(b) By computing the cardinality of each of these
(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.
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