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I am going to roll a die two times and keep track of the sum. This is equivalent to having a box with six tickets,
I am going to roll a die two times and keep track of the sum. This is equivalent to having a box with six tickets, labeled 1 to 6, drawing twice with replacement, and keeping track of that sum. A student argues that it is also equivalent to drawing a single time from a box with 11 tickets, labeled 2 to 12, and keeping track of that value. Do you agree? Why or why not?
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