Savant replied that another door is more likely to win the prize. This answer caused a strong response. Thousands of letters of complaint followed. There are many math teachers and scholars among the protesters. A reader of the University of Florida said, "There are too many math illiteracy in this country, and we don't need people with the highest IQ in the world to make more such fools. Shame! " Another reader insulted and said, "You are a goat!" Everett Harman, a reader of the US Naval Research Institute, wrote, "You made a mistake, but on the bright side, if those doctors of science are wrong, then this country is in trouble."
However, Savant was not wrong. Finally, she used four columns to explain that a class of children did experiments in class. After hundreds of news reports, she finally convinced her readers that she was right. "That's interesting. I especially like reading letters of protest full of resentment, "she said. "Those who are bold and shameless! I really love them. "
The key to solve this problem is the host, who always can't pick the door behind the prize. According to the statistics of the game results, those players who choose to change doors are twice as likely to win the prize as those who don't. Savant explained in the third column: "When you first choose the door 1 from the three doors, the probability of a car behind it is 1/3, while the probability of a prize behind the other two doors is 2/3. But this time the host came out to give you a new clue. If the prize is behind Gate 2, the host will show you Gate 3. If the prize is behind Gate 3, he will open Gate 2. So choose to change doors, and the prize will win after Gate 2 or Gate 3. But if you don't change the door, you can only win the prize if the prize is behind 1 door. "