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In: Statistics and Probability

A total of 15 telephones have just been received at cell phone repair shop. Five of...

A total of 15 telephones have just been received at cell phone repair shop. Five of these phones are iPhones, five are Samsung, and the other five are LG. Suppose that these phones 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 iPhones are among the first 10 to be serviced?

The probability is :

(b) What is the probability that two phones of each brand are among the first six serviced?

The probability is :

(c) What is the probability that after servicing 10 of these phones, phones of only two of the three brands remain to be serviced?

The probability is :

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