Five residents of Alaska are selected at random. Assume that each resident of Alaska is equally likely to have been born on any day of the week.  Find the probability that all five of the residents selected were born on different days of the week. Find the probability that at least two of the residents selected were born on the same day of the week.

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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Five residents of Alaska are selected at random. Assume that each resident of Alaska is equally likely to have been born on any day of the week. 

Find the probability that all five of the residents selected were born on different days of the week.

Find the probability that at least two of the residents selected were born on the same day of the week.

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