Why do this problem?
In the context of trying to "fool the teacher", students may find
that it is hard to make up the results of an experiment in a
mathematically convincing way.
This might be a good start/end to a probability lesson, or a
regular start/end to a series of lessons. Individual students could
enter data 'live' on an interactive whiteboard, with the class
anticipating whether the 'teacher' will be fooled.
It could lead to good discussions
- why it is hard to imitate a 'memoryless' random experiment,
- developing a series of tests to check whether data are
Take a look at Introducing