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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section: Chapter Questions
Problem 56PRT
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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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