[dwpdwpdwpdwpdwp]

I taught this problem to a group of high schoolers as part of a statistics curriculum. It was engaging for two reasons:

The topic of the vitriolic responses to Marilyn is not boring.

It’s a great problem for illustrating the importance of simulation in statistics. By breaking off into pairs, half of whom played the switch strategy and half of whom played the stay strategy, we did hundreds of trials and found empirical evidence in favor of Marilyn’s answer. Furthermore, by actually playing the game, whatever any ambiguity in the wording of the problem was quickly resolved.