| Application | Commentary |
|---|---|
| This application is a variation on the Monty Hall Problem. The problems states that if you choose one door out of three (and one door is a winning door), and then another door is opened and shown to be a false door, should you stay with your original door selection or change (in order to choose the most likely door to win)? The answer is that it is better to switch. In fact, your chances of winning are doubled if you change instead of staying with your original door selection. This application allows the user to test the problem. | |
| The math I use are concepts of probability. The program presents the question, “If you have three doors to choose from, you pick one and the another is opened to reveal nothing is behind it, should you switch you door selection to maximize your chances of having a prize behind the door?” The answer is that you should switch. The probability of picking the correct door at first is 1/3. After a false door is opened, the door you have retains the probability of 1/3 of being correct. This means that the other door will have a 2/3 chance of being correct. Therefore you should switch. Another way to think of the problem is that there are two separate entities: the door you originally chose and the other 2 doors. If you switch, it is essentially like you get to open 2 doors instead of 1. | |
| My artwork serves two purposes. The inclusion of elements from the popular game show MSC shows the link between math and pop culture. The artwork represents the global applications of math. Also, the art brings a sense of humor to the project. I hope users will be entertained by the graphics. There are animations of people busting through doors or being stopped. This slapstick humor, which is rarely associated with math, brings a new experience for the user. Also, to further the slapstick and sloppy nature of the TV show, I my characters are rotoscoped. | |
| This is an overview of the steps my code goes through. When a door is clicked, an animation of a person crashing and bouncing off a door will play. Then if the user selects the correct door the program will play an animation of the person successfully crashing through the door. However, if they select the incorrect door, the animation of the person crashing will replay. There are 2 counters at the bottom to count the number of wins vs. loses. Also at the top, the user can select the number of doors they want to test in addition, on the title screen the user can select instructions, and explanation of the Monty Hall problem the game and the credits. | |