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Answer to Question #3413 in Statistics and Probability for Rocky

Question #3413
There are 3 employees at work vying for 3 desks. 2 desks are good, the 3rd one is bad. The manager, Tara, writes down a number between 1-20, and turns that paper over. She asks each employee (Rocky, Haley, Kandice) to come up with a number in that interval; whoever guesses the number that is exact or closest to the Tara’s number will get 1st choice, and from that point on.

Keep in mind that each employee only has to “not lose,” or simply guess the 2nd closest number from the Tara’s number, not to guess the 1st closest number. The goal all each employee is ONLY to avoid the 3rd desk, or guessing the number farthest from the Tara’s number.

What number should Rocky guess if he is the 3rd one to guess a number, after knowing Haley’s and Kandice’s guesses?

If he’s the 1st one to guess?

If he’s the 2nd?
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