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?”
“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?