[Extra Point]

The solution to this problem has nothing to do with statistics. The objective of the producers is to increase viewership and in turn advertising revenue. Millions of dollars are at stake. To do this, they want the show to be as as emotionally engaging as possible. Since the majority of viewers are rooting for the participants, and the majority of the participants are reluctant to switch, it is better to stick with the inital choice. While Monte may not know which door has the better prize, the producers certanily do, and the order to offer the option can easily be given with a cue card.

[Extra Point]

The solution to this problem has nothing to do with statistics. The objective of the producers is to increase viewership and in turn advertising revenue. Millions of dollars are at stake. To do this, they want the show to be as as emotionally engaging as possible. Since the majority of viewers are rooting for the participants, and the majority of the participants are reluctant to switch, it is better to stick with the inital choice. While Monte may not know which door has the better prize, the producers certanily do, and the order to offer the option can easily be given with a cue card.