Imagine a grid representing a map, now with an additional layer: a number next to the symbol means that the square contains that number of Star or Diamond voters and cannot be separated through redistricting (they could represent a family at the same residence, an apartment building, etc.). No number next to the symbol means that square contains just 1 voter (3 = 3 star voters,  = 1 diamond voter).

Imagine a grid representing a map, now with an additional layer: a number next to the symbol means that the square contains that number of Star or Diamond voters and cannot be separated through redistricting (they could represent a family at the same residence, an apartment building, etc.). No number next to the symbol means that square contains just 1 voter (3 = 3 star voters,  = 1 diamond voter).

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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Question

1) Imagine a grid representing a map, now with an additional layer: a number next to the symbol means that the square contains that number of Star or Diamond voters and cannot be separated through redistricting (they could represent a family at the same residence, an apartment building, etc.). No number next to the symbol means that square contains just 1 voter (₃ = 3 star voters,  = 1 diamond voter).

How many total voters are in this town?

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2. The grid below gives the locations of 25 voters in a region, which you must divide into 5 districts of 5 voters each. In each district, the party with the most votes wins. The districts must satisfy these rules: the districts must be non-overlapping the districts must be contiguous meaning that every square must share a side with another square in that district. Outline 5 districts which represent what you think is a "fair" way to split these voters up. Explain what you used as your "fair" criteria. There is not one correct answer. There are many. Answering the following questions may help in coming up with a "fair" method: a) How many Blue voters are there and what percentage of the voters in this region are Blue? b) How many Red voters are there and what percentage of the voters in this region are Red? To have proportional representation, how many of the five districts should the Red party win? How about the Blue party? Explanation of Method you used for Fairness: c)