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.
Consider the difference between games which hit 3 points each and those which don't.
Note that some sequences of games occur with the same probability as others (e.g. LWWWW and WLWWW).
For the numerical parts, you will need to decide the accuracy to which you wish to compute the answers. You might like to verify numerically any answer that you make to the first part of the question.