I like introducing probability by discussing the Boy or Girl or Bertrand paradox.
What other (short) problem/game provides a motivating introduction to probability? (One answer per response, please)
P.S. This is about a gentle introduction to probability, but in my opinion it is relevant for statistics teaching as it allows to further discuss about discrete events, Bayes's theorem, probabilistic/measurable space, etc.
Best Answer
A good example of showing how people are non-random is to get the class to write down a number between 1 and 10. You then ask the 1's, 2's, .. to stand up.
What happens is that the majority of the class choose 7 and very few choose 1 and 10. This leads on to interesting questions, such as: