Of cars and goats
Some days ago, while listening to an exam exercise, I learned about an old story that happened in the early nineties. It seems it stirred quite a controversy at the time. It was about a TV show where a contestant was offered to chose one door out of three to win a car. The setup was that only behind one of the doors a car was present while the two others contained a goat. Apparently, most people value the car as the good prize but could not care less about the goat, that was the losing item. The host would open a door different than the one the contestant chose to reveal, invariably a goat. And later the host will offer the contestant to switch to the other remaining door. The controversy was about what was the best choice the contestant could do: to switch or to keep the original choice. We all agree that, initially, the contestant has one of out of three chances to win the car. However, when the host opens one of the remaining (non chosen) doors showing a goat it is not so c