A dice simulation is an excellent tool for teaching probability because it provides a hands-on, visual way for students to understand the concepts of probability through experimentation and observation.
In the simplest demonstration, students should be able to predict and observe that a fair six-sided dice gives equal probability of outcome and hence, almost equal total occurrences given a large-enough sample size.
Students can then be asked to predict the probability distribution if given two dice.
The good thing is that with simulations, students get to compare the experimental probabilities they calculated with the theoretical probabilities and discuss any discrepancies and reasons for them. This allows students to understand the concept of randomness and how experimental results may vary from theoretical expectations due to chance.
The prompts used for ChatGPT are as follow:
Provide the code for the following in a single html file:
- Create a 6-sided dice simulator where the user can click on the image of a dice, the dice image will change randomly and the final result will be shown on the image.
- The dice image will be represented by the file “dice1.png” for the number 1, “dice2.png” for number 2, “dice3.png” for number 3 and so on. The image size is 80 pixels by 80 pixels.
- The default setting shows one dice. The initial image shown is “dice1.png”.
- Create a button to cast the dice.
- Create a bar chart with 6 vertical columns at the bottom that shows the frequency of the numbers obtained by the dice. Adjust the bar chart to show all 6 possible outcomes.
- Each time the dice is cast and the result is shown, it is added to a list shown below the chart.
- Create a button for an option to toggle between the use of one dice or two die. When this button is clicked, the list of results and the bar chart is cleared. The initial images shown are both “dice1.png”. If two die are used, both die will be shown side by side.
- Both die will be cast when clicking on either dice. The bar chart now shows the frequency of the total of the numbers obtained by the die. Adjust the bar chart such that it now has 12 vertical columns show all 12 possible outcomes.
- The total number for each toss will be shown in the list.