Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
This tool allows you to create custom-specified random numbers,
such as the total on three dice.
By exploring the concept of scale invariance, find the probability
that a random piece of real data begins with a 1.
This is an interesting and complicated scenario which will require clear probabilistic thinking. There will be various different ways in which the first part of the problem can be attempted, and it would be informative to compare and contrast these. It is quite a difficult problem and could be set to keen students individually or discussed collectively. It would be good as revision of a module
on probability or to motivate the advanced study of probability.