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>> Games without chance, welcome back.
It's kind of wet here today, I hope you

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are having wonderful weather where you
are.

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No, no, no cards today well.
This is the quiz homework.

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So I'll, i'll, put up the quiz, and then
we'll talk about a little bit directions

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for how to turn it in, and how to grade
other quizzes and all that good stuff, is

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on the course website.
So here's a question all about numbers.

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So in this quiz there are five questions.
And the question, the answers are all

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about what numbers are these games.
So the first game is this Hackenbush game

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with, that consists of, of, of this
Hackenbush, this Hackenbush and this red 1

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over here.
So it's a sum of 3 Hackenbush positions.

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This is a number, what number is it?
Two, three, and four, are games that are

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given in terms of, our notation for left
options and right options.

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And game number five, here, is, is a sum
of, of, of two such things.

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So, for this quiz, I'm expecting, for each
one of these, a number as the answer.

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And they're usually relatively small
numbers with relatively small

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denominators.
I hope you all do well here and, ya'll

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come back now, you hear?