There is an island upon which a tribe resides. The tribe consists of 1000 people. Of the 1000 islanders, it turns out that 100 of them have blue eyes and 900 of them have brown eyes. Yet, their religion forbids them even to discuss the eye color; thus, each resident can see the eye colors of all other residents, but has no way of discovering his or her own (there are no mirrors or reflecting surfaces on the island). If a tribesperson does discover his or her own eye color, then their religion compels them to leave the island at night of that day. One day, a blue-eyed traveler visits the island. He addresses the entire tribe to thank them for their hospitality. However, not knowing the customs, the foreigner makes the mistake of mentioning eye color in his address, remarking “how unusual it is to see another blue-eyed person like myself on this island”. After the traveler’s remark, who leaves the island, and on what night?

There is an island upon which a tribe resides. The tribe consists of 1000 people. Of the 1000 islanders, it turns out that 100 of them have blue eyes and 900 of them have brown eyes. Yet, their religion forbids them even to discuss the eye color; thus, each resident can see the eye colors of all other residents, but has no way of discovering his or her own (there are no mirrors or reflecting surfaces on the island). If a tribesperson does discover his or her own eye color, then their religion compels them to leave the island at night of that day. One day, a blue-eyed traveler visits the island. He addresses the entire tribe to thank them for their hospitality. However, not knowing the customs, the foreigner makes the mistake of mentioning eye color in his address, remarking “how unusual it is to see another blue-eyed person like myself on this island”. After the traveler’s remark, who leaves the island, and on what night?

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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