Our goal is to show you some flavors of probability, 
with an emphasis on the Markov theory. 
Here are some vague, motivating questions for discussion.
What are your interpretations, guesses, and answers?

Which pattern, 66 or 65 appears sooner when rolling a die?

How to gamble, if you must?

What is the antiderivative of derivative of a function?

How many times should we shuffle a deck of cards?

How to store Shakespeare's complete work, digitally?

How to investigate casinos' dice?

Can functions be approximated by polynomials?

Can one hear the shape of a drum?