Monty Hall Paradox Game Show

The Monty Hall Paradox is named after Monty Hall, the host of a 1960’s game show Let’s Make a Deal, who first introduced this problem as a segment on the show1. The problem was later published in the 1990’s news column Ask Marilyn vos Savant, receiving thousands of responses and attempted proofs1. The problem involves a set of 3 doors, one containing a new sports car (winner), behind the other two goats (loser). The host asks a contestant to choose one of the three doors. The host opens one of the remaining doors to reveal a goat, leaving 2 of the doors (including the chosen one) closed. It is important to note that the host knows the location of the prize. Now the host gives the contestant an option to switch their choice or keep the original door they selected. Many believe this decision seems will not change the

The sample size of 90 students involved 45 males, and 45 females, varying in age from 10 to 17 years old. A breakdown of my sample demographics is located in Figure 1. Due to this distribution there are many limitations of the surveyed data from this sample. Although I attempted to control the number of males and females tested in my sample, I was unable to control the gender in each age group and some groups vary in gender distribution such as age 10 which had no females and age 15 which has 4 extra females. As a result from what can be observed in Figure #1 a majority of the sample resides in the 16 year old category. In addition my sample does not represent the survey of young children or adults as I couldn’t access a sufficient people in those age groups. Finally my sample only consist of 90 people and is a relatively small sample all located in the Toronto region, making it difficult for my observations of this sample apply to an entire population of