Question

As part of his effort in promoting innovation and healthy relationship among all the

employees working in different locations (branches), Andrus started an annual activity

where groups of employees (based on location) compete to pitch their most extreme ideas

to one another. Each group would present their ideas, then the branches vote one by one.

(They are not allowed to vote for their own branch) Each branch awards 8 votes to their

favorite, 4 to the second, 2 to the third and 1 to the fourth. Clearly, tactical voting is

important, so the order of voting is changed every year. This year, the branches vote in

order from most northerly to most southerly. The results before the last two branches have

voted are shown below (in voting order). Who still stands a chance of winning? Walk me

through your entire thought process!

Branch	Total Score
Fartown	6
Greenport	5
Longwood	6
Watertown	24
Giggles Town	12
Black Stones	9
Martinsville	24
South Peak	4
Riverton	13
Runcastle	17

Answer 1

Walking You Through — My Thought Process:

Summary Notes:

1. Riverton & Runcastle has still not voted.

2. A Branch cannot vote for its own Branch.

3. Maximum Votes that each Branch can both = 8

4. Maximum Votes Pending = 8 + 8 = 16

5. In order to win/stand for a chance to win, the minimum vote score required = 25

6. Provisional Winners = Watertown & Martinsville.

Question: Who still stands a chance of winning?

Answer: By solving through Probability and Possibility.

Firstly, Watertown & Martinsville are provisional winners until the time Riverton & Runcastle vote in actual. So, they standing a chance to win does not arise.

Now we need to calculate who stands the chance of winning apart from Watertown & Martinsville:

Branch	Existing Total Score	Maximum Votes Pending from Riverton & Runcastle that can be received*	Net Score
Fartown	6	16	22
Greenport	5	16	21
Longwood	6	16	22
Giggles Town	12	16	28
Black Stones	9	16	25
South Peak	4	16	20
Riverton	13	8 **	21
Runcastle	17	8 **	25
* Assuming Maximum Votes are received to a Branch. ** (Since, a Branch cannot vote for its own Branch).
∴ If Giggles, Black Stones & Runcastle receives the desired votes, they stand a chance of winning in comparison with Watertown & Martinsville who currently has 24 scores each.

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