Why is Monty Hall problem so hard for some game show participants? In class we learned that the Monty Hall problem is a game show brainteaser that requires you to choose from one of Monty’s three doors, with hopes of getting a prize. While only one of the doors holds a prize, like a car, the other two doors hold a sham prize, like a goat. After you pick your door, Monty opens one of the unpicked doors with a goat behind it. “Do you want to keep your door or switch doors?”
Answer: SWITCH!
Behind the answer is a long mathematic equation proves that there is a 2/3 chance of winning the prize by switching doors, rather than the 1/3 chance of winning by staying. In class we learned that the problem is hard because of Omission vs. Commission. But why do we refuse to change our way of thinking?
The Experiment
There are scientists who believe there is a connection between the Monty Hall Problem and cognitive dissonance. Cognitive dissonance is the feelings of discomfort that result from holding two conflicting beliefs, according to psychology.about.com. Psychologist Leon Festinger proposed a theory of cognitive dissonance that “people have an inner need to ensure that their beliefs and behaviors are consistent.” In the experiment conducted by Festinger and Carlsmith, 71 participants agreed to take part in an experiment on ‘measures of performance’. They were told that the experiment that the experiment would take two hours and would fulfill their requirements. The participants were asked to carry out a series of “boring” task; but one group of participants were given no introduction to the tasks, while the second group was given an interesting and fun introduction by an experimenter. After performing the tasks, each of the subjects was interviewed about their level of enjoyment during the task. Whoever thought the task was enjoyable was then asked to give the next group of participants a introduction for the tasks they already performed, while the participants either received $1 or $20 for doing the task, and again they were asked if they enjoyed doing the task.
The Results
Results of the experiment showed that for boring task, the unpaid control group rated the task -0.45. While for the paid group, the ones who were paid $1 rated the task +1.35 and the ones paid $20 rating the task -0.5. This showed that according to the results, the cognitive dissonance phenomenon is true. According to the experiment “participants experienced dissonance between the conflicting cognitions of telling someone that a particular task is interesting when
the truth is, they found it rather uninteresting and boring.” You may ask why, but those who were paid $1 made their selves believe that the task was “enjoyable” because a dollar isn’t much of a promoter; while the participants who were paid $20 made them selves believe that they we’re only doing it for the money.
How does this relate to the Monty Hall Problem?
Well our brains are hardwired to believe certain things. According to Kendra Cherry, author of the Everything Psychology Book, “Attitudes are often the result of experience or upbringing. They can have a powerful influence over behavior.” Many things affect your attitude towards activities. For the Monty Hall Problem, our brains towards the game of “chance” is wired to believe that we have a 50:50 chance, but in actuality we have a 2:3 chance with switching doors.
Resolving Cognitive Dissonance
There are a couple ways to avoid the common psychology of cognitive dissonance. First thing you can do to avoid this is to be self-awareness. Knowing that this now exists puts you at an advantage. “If you find yourself justifying or rationalizing decisions or behaviors that you’re not quite clear you firmly believe in, that might be a sign that cognitive dissonance is at work” says Dr. John Grohol, founder & CEO of Psych Central. So stay aware to the things you do unconsciously due to cognitive dissonance, like the Monty Hall Problem.