In Canada, the postal codes are three numbers and three letters. The characters of the postal codes always alternate, starting with a letter: letter number letter number letter number. For example, a home in Ontario has postal code N0G 2O2. (Notice that both the letter O and the number 0 are allowed, and the letters and numbers may be repeated.)  a) How many possible postal codes are there in Canada? (Remember: there are twenty-six letters in the Canadian alphabet.) b) What is the probability that a Canadian postal code doesn't have any repeated letters or numbers? (e.g, the above postal code has the number 2 repeated) c) What is the probability that a Canadian postal code does have one or more repeated letters or numbers?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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In Canada, the postal codes are three numbers and three letters. The characters of the postal codes always alternate, starting with a letter: letter number letter number letter number. For example, a home in Ontario has postal code N0G 2O2. (Notice that both the letter O and the number 0 are allowed, and the letters and numbers may be repeated.) 

a) How many possible postal codes are there in Canada? (Remember: there are twenty-six letters in the Canadian alphabet.)

b) What is the probability that a Canadian postal code doesn't have any repeated letters or numbers? (e.g, the above postal code has the number 2 repeated)

c) What is the probability that a Canadian postal code does have one or more repeated letters or numbers? 

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