Dice and linear regression

OK, now here’s a regression problem that I can get behind. Via CME:

“Roll 1 die. Write down what you roll. Roll 2 dice. Write down the sum of all the numbers that you roll. Roll 3 dice. You know what to do. Roll 4. Write down the sum.”

“Predict: how much will you roll with 5 dice? 10 dice? 123 dice?”

A variant:

“Roll 1 die 3 times. How many 6’s do you roll? Roll 2, three times. How many 6’s do you roll? Continue onwards and upwards.”

Do I have to mention the connection to probability?

 

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