12. Fifteen telephones have just been received at an authorized service center. Five of thesetelephones are cellular, five are cordless, and the other five are corded phones. Supposethat these components are randomly allocated the numbers 1, 2, . . . , 15 to establish theorder in which they will be serviced. a. What is the probability that all the cordless phones are among the first ten to be serviced?b. What is the probability that two phones of each type are among the first six serviced?

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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12. Fifteen telephones have just been received at an authorized service center. Five of these
telephones are cellular, five are cordless, and the other five are corded phones. Suppose
that these components are randomly allocated the numbers 1, 2, . . . , 15 to establish the
order in which they will be serviced. 
a. What is the probability that all the cordless phones are among the first ten to be serviced?
b. What is the probability that two phones of each type are among the first six serviced?

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